diff --git "a/data/dm_maths/full_data/10408_11255.jsonl" "b/data/dm_maths/full_data/10408_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10408_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: b\"What is the dth term of 1511, 3137, 4803, 6509, 8255?\n\"Answer: 20*d**2 + 1566*d - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymm when three letters picked without replacement from {y: 13, m: 6}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 687287000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3709933920 a multiple of 3522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 divided by 73?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91 + 161. Suppose -12*f + 182 + q = 0. Find the first derivative of 25 + 287*c**3 - 287*c**3 - f*c**4 wrt c.\nAnswer: -84*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 - -97. What is the remainder when a is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**3 + 42 - 94 + 46 to the form o + t*k**2 + w*k**3 + z*k and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 14*o + 11. Suppose 5*n - 90 + 60 = 0. Calculate the remainder when c(n) is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*8\/420)\/((14*10\/280)\/(-1)).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4*j - 44, 10*j - 8*j = 6. What is the remainder when 4\/f*(1284 - 2) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-7) + (-1192)\/28. Let a = l - -45. Suppose -3*m + 5 = 4*z, z + 3*m = -2*z. Solve 3*k = a*k - z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -14000135.\nAnswer: -1\/2800027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 22*h + 3 = 19*h, -3*h + 23 = -10*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -9.82. Let u = l + -2.82. Put 0.4, -0.1, u in ascending order.\nAnswer: u, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -823 + 1843. Suppose -8*g = 4*g - c. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3244531, 3244570, 3244641, 3244750, 3244903, 3245106, 3245365?\n\"Answer: x**3 + 10*x**2 + 2*x + 3244518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/6993 and -125\/90468.\nAnswer: 10041948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h - 59. Let f be j(10). Sort -3, f, -6 in increasing order.\nAnswer: f, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 9*d + 4770 = 0. Suppose 5*s - d = 2*s. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/5 - 10291*d**2\/5 - 26501879*d\/5 - 26450449.\nAnswer: -(d + 5)*(d + 5143)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3591000 to the nearest one hundred thousand.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3608?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -886282 by 33.\nAnswer: -886282\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 461921 - 461882. Let i = -349\/5 + 69. Put -0.3, b, i in decreasing order.\nAnswer: b, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 - 279 = -15*h. Suppose 0 = 18*t - 86 - h. Sort t, 3, 4, 1.\nAnswer: 1, 3, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 18 + 0*i - 18 - 2*i. Suppose -10 = 5*r + 15. Is f(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75.689 * 65.\nAnswer: -4919.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 295719?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -130222011 (base 5) in base 4?\nAnswer: -2122132310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(3 - 2) - -1. Let y = 8 + d. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*k**3 + 2 - 2 + 129*k**3 - 4*k**3 - 46*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 655 is divided by 3 + (18 - 12)*27\/6.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29733*n - 16817 with respect to n.\nAnswer: 29733","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/4 (b) 4 (c) 7\/17 (d) 7\/6 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126051 is divided by 6829?\nAnswer: 3129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 2:48 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13260 + 14796. What is the smallest common multiple of 184 and f?\nAnswer: 35328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 109*s**2 - 2876*s + 186. Give j(-45).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (95\/(-38))\/((-9)\/144*1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4137 is divided by 221?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*g**2 + 28*g**3 - 81*g**2 - 25*g**3 + 2 to the form i*g**2 + w + d*g + v*g**3 and give i.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 18. Let r be (-4 - l) + 4 + 8. Solve 21 = 5*y + 5*g - 3*g, 4*g - r = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 - 5 + 5 + (-1 + 2 - 3)*(-2*j**3 - 1 + 1) - 3*j**3 - 2*j**3 + 4*j**3 + j**3 + 2*j**3 - 5*j**3 - 4*j**3 + 4*j**3 + 2*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50527588793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2) + 1)*(32 - 34).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1 - -1) + (-24)\/(-36))*15. Differentiate 12*q**3 + 102*q**2 - n - 99*q**2 + 2*q**3 + 3*q**3 wrt q.\nAnswer: 51*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 4. Which is the second biggest value? (a) g (b) -0.1 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**3 + 1080*d**2 + 278180*d + 552000 = 0. What is d?\nAnswer: -150, -2, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4280 + -4275. Solve -3*l - 13*r = -16*r - 3, -3*l - k*r = 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3345.486076 and 288.8.\nAnswer: 3634.286076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, j: 3, b: 1, y: 5, k: 2, x: 4}. Give prob of picking 2 j and 1 b.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(2\/11)*d))\/d*d*d**(-1\/4)\/d*((d\/(d*d**(-1\/5))*d)\/d)\/d*d**2)**(15\/4) assuming d is positive.\nAnswer: d**(-153\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2246324 (base 8) to base 2\nAnswer: -10010100110011010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550744?\nAnswer: 2, 43, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -18. Suppose 36 + m = 3*y. Let k = 2774 + -2662. Calculate the highest common factor of k and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/18 + (-16)\/(-72)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -7. Suppose l*p - 5*p + 4 = 0. Suppose -c + 7 = p. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*k*o**3 + 48*k*o**2 + 6*k - 670*o**4 + 6*o**2 + 5 wrt o.\nAnswer: 174*k - 16080*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -15 + (-8 - (3 + -48 - (21 + -30)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -42, 0.2, -122\/3, -5, -2?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knnkknnknnknn. Give prob of sequence nnnk.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 74583872 divided by 64?\nAnswer: 1165373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -10, -2, -5, -31, 3 in ascending order.\nAnswer: -31, -10, -5, -2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 2*s, -3*s = 569*w - 570*w + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2870 divided by -158535?\nAnswer: -574\/31707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 11*n. Determine u(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -271822, -5.\nAnswer: -271822, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 3*f + 3. Suppose -12*o - 531 = -111. Let u be 10\/o + 24\/(-14). Determine y(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -24, -87, -204, -393?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*g + 2*g = -2702, 3*c - 4*g - 4049 = 0. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-14) - 29\/(220\/(-16) + 12). Solve 17*r + 7 = x*r + 2*t, 0 = -5*r + 2*t - 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*u - 3*q, -4*u = -2*q + 19 - 65. Suppose 5*w = 3*x + 15, 0*x - u = -x - 3*w. Solve -3*n = -x*n - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011111000101 (base 2) to base 12\nAnswer: 3631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 284791\/8071 + -37 + 2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (4*-2*sqrt(272) - sqrt(272)) + sqrt(272) + -1 - -3*(2*(sqrt(17) + 1) + -3*-3*sqrt(17)))**2.\nAnswer: 14*sqrt(17) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250 divided by -59.\nAnswer: 250\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-12) + (-906)\/(-36). Suppose -5*i + 0*i = -w. Solve -7 = -i*j + 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-34)\/1)\/(6 + -8). Suppose 0 = -3*w + f - 5. Does 4 divide 22\/6 - w\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s - 97. Calculate the remainder when k(-24) is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/14 - 2\/(-14). Let p(u) = u - 6. Let v be p(11). Let q = 10 - 7. Put v, q, a in increasing order.\nAnswer: a, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.1. Let d(v) = -v**2 - 8*v + 11. Let y be d(-9). Let o = y + 3. What is the second biggest value in u, -1\/2, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*l + m, -4*m + 16 = -4*l - 0*m. Let k be (102\/136)\/((-3)\/l). Let 5\/4*c - k - c**2 + 1\/4*c**3 = 0. What is c?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/77 - 174\/5*1330\/(-8778)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 9 - (6 - (14 - 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**4 + 55*j**3 + 20*j**2 + 5346*j?\nAnswer: 24*j**2 + 330*j + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/1)\/(4\/4)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 2*u**3\/3 + 29*u**2 - 42*u + 19. Is v(-31) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19724729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49979 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.8 - 2. Let y = -812 + 815. Which is the third smallest value? (a) -3\/2 (b) y (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27306896 divided by -4.\nAnswer: -6826724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 831276868 to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -74.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 637454334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 4432.6371 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8 + s**2 - 11 + 19. Let t(c) = -c**2. Determine t(w(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1128)\/(-752)*3*(-1)\/(-9). Let u(j) be the first derivative of 22 + k*j**2 + 6*j. What is u(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14006 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*q + 4*k - 20, 2*k + 5 = q. Suppose 3*w = 4*b + 190, 10*w - 375 = q*w - 5*b. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 32140a (base 12) to base 2\nAnswer: 11000000111100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 49*k - 50*k. Let x be 4\/(k\/(-300))*24\/9. What is the greatest common divisor of 40 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12317, -24631, -36941, -49247, -61549, -73847?\n\"Answer: 2*o**2 - 12320*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + h + 65. Let b be ((-2)\/6)\/((-1)\/12). Let n be 2\/8 + (-1)\/b. Let i be k(n). What is the greatest common factor of i and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35342486*w**3 + 66*w**2 + w + 27437 wrt w.\nAnswer: -212054916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 10 = 5*q, -3*q - 14 = 2*j + q. Let u = j - 19. Let o be (u\/40)\/(3\/(-15)). Solve -o*w - 8 = -4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/27, 56, -2\/639?\nAnswer: -2\/639","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -13*c - 130. Determine z(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 70, 4, 3\/8, 0, 14, -332 in descending order.\nAnswer: 70, 14, 4, 0.4, 3\/8, 0, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14790\/4437*12\/10*(-2 + 100\/52).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -79, -83, -87, -91, -95?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -0.2, 17, -5\/2, 0.5, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497 + 497 + 122*z**2 - 124*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3659875706?\nAnswer: 2, 1829937853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -157 (base 13) to base 5.\nAnswer: -1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3*b - 10 + 25 = 5*m, 4*m = -4*b - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 - 119.5. Let o = -68 - x. What is o rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3, 224, 579, 1068, 1691?\n\"Answer: 67*g**2 + 20*g - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)*l*l**(-5))**16 assuming l is positive.\nAnswer: l**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 13*f**5\/60 + 5*f**4\/2 + 71*f**3\/18 - f**2 - 3995*f. Solve u(n) = 0 for n.\nAnswer: -6, -1, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13047 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -11*q + 140. Let z = q - 17. Calculate the lowest common multiple of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-15) - (0 + (-2)\/1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-1 - 0\/1). Let y(g) = 2*g**2 - g - 2. Is y(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5042 - -12041?\nAnswer: 2555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 55547035 to the nearest ten thousand.\nAnswer: 55550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 6*t - 3. Let n be y(7). Let k(c) = c**3 + 4*c**2 - 4*c - 4. Let h be k(-6). Let i = 74 + h. Calculate the highest common divisor of i and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.27 - -0.67. Let l = f + -1.2. Let y = -1.1 - l. Which is the closest to 1? (a) 3\/8 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 0*x + 4*x - 2*x**2 + x**3 - 1 - 2. Let n be (-40)\/70 - 64\/(-14). Let d be r(n). Calculate the greatest common factor of 30 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.8819 - -1.8854. Let j = o - -6. Round j to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.95 + -18. Let w = 0.31 + 0.19. Which is the third smallest value? (a) -1\/4 (b) x (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*f = -628761 + 603351 for f.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l - 3495 + 7194 + 7963 = 0. Calculate the remainder when 694 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxyxxxouyw. Give prob of sequence yy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z. Suppose -3*v - 6 - 8 = r, 5*v + 2*r + 25 = 0. Let d(a) = -2*a. Let b(j) = v*n(j) + 2*d(j). Let k(u) = -19*u**2. Give b(k(q)).\nAnswer: -38*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 18 = 11*m. Let o = m + -4. Let d(w) = 4*w**2 - 8*w + 4. Let q be d(o). Calculate the highest common divisor of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761238?\nAnswer: 2, 3, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 5 - 214*h + 212*h)*(-18 + 11 - 8 - 2*h**2).\nAnswer: 4*h**3 + 28*h**2 + 30*h + 210","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 25556045 divided by 1\nAnswer: 25556045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**3 - 14*z**2 + 13*z - 3. Give a(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 17 + 1 = 0. Suppose 0 = s*p + 14 - 56. Suppose -13*b + 459 = -48. Calculate the remainder when b is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ererllererble. What is prob of picking 2 e and 2 r?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -309423, -309421, -309417, -309411?\nAnswer: -309403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*c + 33 + 60 + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -6*x + h, -x = 5*h - 1997 + 1992 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.6? (a) -5 (b) 3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3681 * -117.\nAnswer: 430677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289*q - 292*q + 3*x + 63 = 0, q + 2*x = 18. Solve 4*o + 4*n - 8 = 0, -196*o - 4*n + q = -198*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -23830 and 1433955?\nAnswer: 1457785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 8*d**2 + 4*d + 3. Suppose -5*q - 60 = -17*q. Let f(g) = 4*g**2 + 2*g + 2. Let v(k) = q*f(k) - 3*y(k). Calculate v(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6 - 18 = 0. Suppose -y*g = -4*g + 4. Let z be 2\/(30\/(-27)) - g. What is the second biggest value in 2\/3, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*q = -3, -34*z - 11 = -37*z - 4*q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**4\/4 + 3*n**3 - 5*n**2 - 5*n + 56. Give y(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*p - 2*r - 14, 4*p + 7 = -5*r. Let x(o) = -19 - o - p*o - 2*o + o. Is x(-7) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 10:33 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 7*r - 6. Let b be g(-8). Suppose 5 = x + b*k, 16 = 2*x + k - 3*k. Suppose -x*h + 262 = -5*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45 in 1, -3, -0.5, 4\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -126066, -252132, -378196, -504258, -630318?\n\"Answer: x**2 - 126069*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 520.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 10.528152527816\nAnswer: 10.028152527816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-14)*(-161)\/46. Let o(x) = 2*x + y + 3*x - 8*x. Give o(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15487860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = f - 19, -4*f = 5*j - 212 + 136. Determine w, given that -14\/3*w**2 - 24*w**4 - f*w**3 + 0 - 1\/3*w = 0.\nAnswer: -1\/3, -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89832*g**2 + 3185*g + 6 wrt g?\nAnswer: -179664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 - 609*p**2 - 605*p + 605*p + 562*p**2 as t*p + c*p**2 + d and give c.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*l = 33 - 103, 23 = 2*o - 3*l. Calculate the smallest common multiple of o and 332.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/275 and 59\/21725.\nAnswer: 21725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 121.9352 to zero decimal places.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 10*o**2 + 21. Let b(q) = -5*q**2 - 10. Let k(v) = 9*b(v) + 4*z(v). Differentiate k(c) wrt c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 1413*s**2 + 4*s. List the prime factors of z(1).\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**5\/2 + 13*o**4\/2 - 28*o**3 + 40*o**2 = 0.\nAnswer: 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2\/3 - 995*y\/3.\nAnswer: 5*y*(y - 199)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -17*l**3 - 4*l**2 - 62*l - 33. Calculate the remainder when r(-6) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 23*v = -9259700. What is v rounded to the nearest one thousand?\nAnswer: -299000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 52*n**2 - 357*n - 211. Let y be f(-44). Suppose 0 = 4*s - 11 + 3. Suppose 2*q + j = 5*q + s, 2*j - 6 = 4*q. Solve 2*t = -q - y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -265719291*b + 314469748?\nAnswer: -265719291","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20783328*b**2*j**2 + 51*b**2 + 457865*j wrt j.\nAnswer: -41566656*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -297 + -0.2873\nAnswer: -297.2873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*r + 1358. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/120*-5 - 12666\/(-8). Let c = y + -826. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 7*s + 2. Suppose 7*o = -0*o - 49. Let r be f(o). What is the first derivative of -r*q - 9 + 2 - 1 + 0 wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**5\/390 + d**4\/39 - 4*d**3\/39 + 3*d**2. Factor v(k).\nAnswer: -2*(k - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 8*a**2 - 2*a - 2. What is f(-7)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -51*k + 364. Give p(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**3 + 0*c**3 - 3*c**3)*(48*c - 59159 + 59159)*(-c - 5*c + 4*c).\nAnswer: -192*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 68 = -i, -8*i + 3*i + 32 = 3*l. Let c(n) = 2*n - 15. What is the remainder when 262\/l - 12\/(-42) is divided by c(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.02449 to 2 decimal places.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38, -116, -230, -368, -518, -668, -806, -920?\n\"Answer: 2*y**3 - 30*y**2 - 2*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33632.831 + -365.569. Round w to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n - 1. Suppose 2*p + 3*j = 2*j + 95, -55 = -p + j. Suppose f - p = -f. Suppose 0 = -4*y - 2*d + 2, -5*y + 3*d = -0*d + f. Determine q(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 - ((-7 - -3) + 6 - -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzou when four letters picked without replacement from uuzzouu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -286 - -295. Calculate the smallest common multiple of f and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -16*b + 53. Let z be k(19). Let a = z - -222. Is a != -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165777832 to the power of 1\/2, to the nearest integer?\nAnswer: 12875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-12)*0\/(-3))\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4\/7 + 12*a**3 - 279*a**2\/7 + 12*a\/7 + 372\/7 = 0. Calculate a.\nAnswer: -31, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14772 + -3679. List the prime factors of c.\nAnswer: 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 11*b**2 + 4. Let y be u(-11). Suppose -g - g + y = 0. Let s(t) = 0*t**2 - 4*t + 9*t - t**g + t. What is s(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -457, -471, -499, -547, -621, -727, -871?\n\"Answer: -x**3 - x**2 - 4*x - 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58845*r**2 + 15*r + 5671993?\nAnswer: 117690*r + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95\/4 - 24. Is m less than or equal to -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/(-36) - 222\/(-8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -0.4, 365?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 + 3*b + 64. Let t(c) = -14*c**2 - 13*c - 255. Give -18*q(d) - 4*t(d).\nAnswer: 2*d**2 - 2*d - 132","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -309259.86 to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**4 + 5 - 21 - 14. Let j(r) = -r**4 - 12. Let h(s) = -12*j(s) + 5*q(s). What is the first derivative of h(v) wrt v?\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2\/11 - 7695572*u\/11 + 7695574\/11 = 0. Calculate u.\nAnswer: -3847787, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11776, -11857, -12072, -12487, -13168, -14181, -15592?\nAnswer: -17467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-5 + 3)) + 1 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-70)*2)\/(4\/(-16))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 10 = -31. Let h(b) = -b**3 + 10*b**2 - 19*b - 10. Let q be h(7). Suppose -4*p + 28 = -4*s, -q = 3*s + p + 5. Put 2, s, i in descending order.\nAnswer: 2, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a - 2*a + 29*a - 7066 - 15*a.\nAnswer: -3*a - 7066","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3140, 3141, 3142?\n\"Answer: c + 3139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 31*m**2 - 11*m + 2. Calculate w(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 9*d - 20*d + 28*d)*(d**4 - d**4 - d**4).\nAnswer: d**5 - d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 20*p**2 - 17*p + 360. What is the lowest common multiple of f(20) and 322?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25821.\nAnswer: 3, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/3, 1\/3, -1\/48 in increasing order.\nAnswer: -0.3, -1\/48, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 399137 divided by 10?\nAnswer: 399137\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(192) + (-1*sqrt(192) - sqrt(192)) - sqrt(192))\/(5*sqrt(16)\/sqrt(4)).\nAnswer: -8*sqrt(3)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 478530962?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 12246618*o + 12246620.\nAnswer: -2*(o - 1)*(o + 6123310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + y + 1. Let h(i) = -10*i**2 + i + 2. Calculate -3*a(w) + h(w).\nAnswer: -7*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = z + 2*g - 3, 2*z - 2 = -5*g. Let t be z\/(-15) - (-11)\/33. Are t and 0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 15*x + 9. Let w(v) = 8*v + 5. Suppose -2*d + 7*m = 3*m, 2*m = 3*d. Let o be d - (80\/24 - 2\/(-3)). Give o*i(h) + 7*w(h).\nAnswer: -4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 13 = 10. Let f be -1 + b + 0 + 42. Let k = -2 + 8. What is the highest common factor of f and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1322, -1213, -1030, -767, -418?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**11*g)\/(g\/(g*(g*g**13)\/g*g)) assuming g is positive.\nAnswer: g**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4307915.\nAnswer: 5, 31, 27793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4521130 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -460*p**2 - 574*p - 18. Let g(a) = 41*a + 1. Let d(b) = 14*g(b) + x(b). Let c(j) = -2*j**2. What is c(d(q))?\nAnswer: -423200*q**4 - 7360*q**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1534.0454 rounded to 0 decimal places?\nAnswer: -1534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 30*(5*(-20)\/350)\/(2\/(-7))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, -1, 2, 9, 20, 35, 54?\n\"Answer: 2*f**2 - 7*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u**4 - 3*u**3 - 3*u**2 - 3*u. Let o(m) = -7*m**4 - 3*m**3 - 4*m**2 - 4*m. Let s(l) = -3*o(l) + 4*v(l). Determine k, given that s(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 + 581*t**2 + 303*t**2 - 359*t**2 + 508*t**2 + 615*t**2 + 127*t wrt t?\nAnswer: 3296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53*s**4 + 18721*s**3 - 515398*s**2 wrt s?\nAnswer: -1272*s + 112326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 72 + 17 = 0. Let j be n + 12 + (0 - -48). Let w = j + -10. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5426 a factor of 542345956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.4, 63, 2017?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1123\/4 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8347879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78101.\nAnswer: 78101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.7 - 1.7. Suppose 0*z = z - 97. Let s = z + -1263\/13. What is the third biggest value in s, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 49367581, 49367556, 49367533, 49367512, 49367493, 49367476?\n\"Answer: a**2 - 28*a + 49367608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -12 + 7*k - 10*k + 8*k - 4*k**2 + k**3. Calculate the lowest common multiple of (-38)\/(-4) + 1\/(-2) and g(4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16496 is divided by 1104?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f**4 + 10*f**3 + 3*f**2 - 1 wrt f.\nAnswer: 96*f + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 1122690492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 13 + 1. Calculate the lowest common multiple of x and (1 + -1 + 1)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**3 + 6715*y**2 - 2732925*y + 270167625 = 0.\nAnswer: -7105, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 228*s - 1402. Give y(7).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 8. Suppose -8 = -2*m, 2*o = -3*o + s*m + 159. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0085686 rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 12:28 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5 = 8*n. Let t be ((-9)\/(-27))\/(n\/3). Let l be (-1 - t) + 7899991 + 9. What is l rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599343714?\nAnswer: 2, 3, 19, 1752467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8\/9, 0.2, -9\/11, -20?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.52 less than 12.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-36)*-8 - 18\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -8930*h**3 - 95*h - 190. Let q(s) = 190*s**3 + 2*s + 4. Determine -190*q(d) - 4*v(d).\nAnswer: -380*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 516, -0.2, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2850?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 13. Suppose -2*g = -3*w + 3*g - 15, 3*w - 2*g + 6 = o. Let y be (-2)\/(4\/(-26)) - w. Calculate the greatest common divisor of 39 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from {o: 1, d: 1, x: 9, p: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72394450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -757254, -757257, -757260, -757263, -757266?\nAnswer: -757269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 40*l - 5 - 14*l - 16*l - 15*l. Calculate x(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 1. Let j be i(5). Let z(x) be the third derivative of -x**4\/24 + x**3\/2 + 290*x**2. Determine z(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 t when four letters picked without replacement from txxxtxxxtxxxxxxxxxxx.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + 0*x + 18*x to the form u + v*x and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 230.27 + -230. Let q = x - 0.337. Round q to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/672 and 13\/24?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/2 + 3529969*z\/2.\nAnswer: -z*(z - 3529969)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -388 (base 11) to base 14\nAnswer: -24b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, s: 6, f: 1, j: 8}. Give prob of picking 2 c.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880) + (sqrt(2880) + -3*(-2*sqrt(2880) + sqrt(2880) + sqrt(2880)) - sqrt(2880)))\/(sqrt(160)*1*-3).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**3 - 7*w**2 - 7*w - 2. Let n(t) = 2*t**3 - 4*t**2 - 4*t - 1. Let r(k) = -7*n(k) + 4*x(k). Give r(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 - 5.01. Let i be 17\/34 - 1\/10*1. Which is the closest to i? (a) -2 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r = 23*r + 588. Is -147 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 + 2*u**2 - u. Let i be o(1). Let n(w) = -4 + 2 + 3 - 9 - i*w + w**2. Calculate n(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1126 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 263*f**2. Let x(l) = -102*l + 818. What is x(w(u))?\nAnswer: -26826*u**2 + 818","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7843141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2753469533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17816757 is divided by 470.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 155774*p*q**2 - 140844*p*q + 2*p wrt q?\nAnswer: 311548*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8*d. Let c(b) = 1436*b + 3. Let t(m) = 18706*m + 40. Let x(v) = -40*c(v) + 3*t(v). Give z(x(i)).\nAnswer: 10576*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/3, 7, -0.02, 0, -6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(77)*1)\/(sqrt(252) + 1*sqrt(252)))**2 - (sqrt(1100) - sqrt(1100)*-3 - (sqrt(121)\/sqrt(11) + -1))**2) + -5.\nAnswer: -602521\/36 - 78*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 24*u**2 - 24*u + 20. Calculate s(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12338 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*i - 6 = 0, 0 = -3*i + 2*i - 5. Let r(z) = -3*z - 2*z + z**2 + d*z + 4. Let t be r(-3). Solve 0 = 4*m + 4*n + t + 1, 5*n + 10 = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onocoonoicnioocio. What is prob of sequence cn?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + 40 = 2*w. What is the remainder when 56 is divided by (-50)\/w*48\/30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 0 + 0 - 88*k + 77*k. Let o(g) = -9429*g - 7*g**2 + 9429*g. Determine o(p(c)).\nAnswer: -847*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.0655, -0.4, -41, 2, 0, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2871 = 225*y - 1353 + 2757 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 7*y + 18. Calculate the lowest common multiple of y and 1\/(0 + (-1)\/(-2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000100110111 (base 2) in base 13?\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, i: 9, q: 3, c: 1, w: 1, h: 3}. What is prob of sequence tthi?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n + 21*n - 6*n)*(-1 + 0 + 2) + 10*n - 4*n - 5*n.\nAnswer: 23*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, -9, -21, -6 in descending order.\nAnswer: 8, -2, -6, -9, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**4\/12 - 440*t - 2. Let x(d) be the second derivative of 25*d**3\/2 - d**2 - d. Determine y(x(f)).\nAnswer: -5625*f**2 + 300*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 325 + -221. Suppose -32 = 4*f - 64. Calculate the highest common divisor of f and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3828 - 16*o**2 + 68*o**6 - 3828 wrt o.\nAnswer: 8160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*j + 11*j + 2. Let a be (-25)\/161 + 4\/14. Which is bigger: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*l = -30, -3*k + 2*l = 4*l - 73. Solve 0 = 5*d - 10*d - k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 - 60*y**2 - 127*y - 38. Determine w(32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 + (-395)\/(-50))\/1 - 2. Let i(q) = -q**2 + 7*q - 3. Let p be i(6). Which is the third smallest value? (a) g (b) p (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 486 = -1152. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621723628 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 1176, 3, 0, 5, -6 in descending order.\nAnswer: 1176, 15, 5, 3, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15699 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 d = -4 + 5. List the prime factors of 1*(1 + d + 35).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4*r + 5 = -3, 23 = -4*g - 5*r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -18*o - 326. Give v(-20).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -117, 9, 84 in increasing order.\nAnswer: -117, 9, 16, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-108)\/63 - (-4)\/(-14). Which is smaller: o or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66315000 rounded to the nearest 1000000?\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aabbaambbabtaaaaa. Give prob of picking 3 a and 1 t.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(228)*-2)\/((sqrt(108) + sqrt(108) + sqrt(108) + (sqrt(108) - (sqrt(108)*-4 - sqrt(108))))\/sqrt(9)).\nAnswer: -4*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -242\/855 - -8\/45. Let m = 2 - 2.02. Let z = -0.02 - m. Which is the nearest to z? (a) w (b) -0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131027\/105 - -6257\/5. Calculate the common denominator of i and (-2 - -18 - 145)*(-2)\/12.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.776 smaller than -577918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 30*t + 21. Let x be s(30). Suppose -69 = -x*k + 57. Which is smaller: 68\/11 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -5*u**4 + 1705*u**3 + 258865*u**2 - 90959325*u - 1612326240 = 0?\nAnswer: -224, -17, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6*m)**(-2\/11)*m\/m**(7\/5)*m\/(m**(-4)\/m) assuming m is positive.\nAnswer: m**(238\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/598284 and 61\/855?\nAnswer: 56836980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 42 = -2*c. Suppose 2*d - c = -d. Let w = d - -29. Calculate the remainder when w is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b\/((b**2*b)\/b))\/b)\/b)**(-28\/5)*b**(-11\/3)\/((b\/(b**(-4\/13)*b)*b)\/b) assuming b is positive.\nAnswer: b**(1409\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllbbllbbl. What is prob of picking 3 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 283134531?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -4*w - 75. Calculate the remainder when 9850 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176460958?\nAnswer: 2, 7817, 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*p - 31, -3*t + p - 39 = -50. Sort 16, t, 0, 2.\nAnswer: 0, 2, t, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.3 + -6.88. What is y rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)\/sqrt(3)*-6 - sqrt(49) - sqrt(539)\/sqrt(275))\/(-2*sqrt(252) + sqrt(252) + (sqrt(7) + 2*sqrt(7) + sqrt(7))*4).\nAnswer: -18*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54274 or -10266?\nAnswer: -10266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1464 (base 10) to base 11.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3472010, 6944081, 10416152, 13888223, 17360294?\n\"Answer: 3472071*r - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 5925.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a1c30 (base 13) in base 4?\nAnswer: 2201122233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**4\/4 + j**2 + 3*j. Differentiate a(t) wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/15*-6*7\/(84\/(-16))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/12 - -1 - 46\/2. Put 3, 2, n in descending order.\nAnswer: 3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(132) - sqrt(132)) + 1*sqrt(132)*1)\/(sqrt(24)\/(sqrt(20)\/(6*sqrt(10)))).\nAnswer: 7*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -25522?\nAnswer: 25520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7244653*r**6 - 73*r**2 - r - 2457?\nAnswer: 869358360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 2)*(1 - 4 + 1) + (-2 + 4 - 4)*(20 - 8 - 16))*(-2*w + 3*w - 2*w)*(-w - w - 3*w).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -3*t + 27, 3*w + 122965 - 123016 = t for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42\/71 or 1?\nAnswer: 42\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134320?\nAnswer: 2, 5, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 434178301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -268 (base 16) to base 13\nAnswer: -385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b + 10*b**3 - 4*b - 37*b**3.\nAnswer: -27*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 16*f - 1320 = 0. Let t(x) = 7*x - 9*x**2 - 2*x**2 - f + x**2 + x**3 + 351. What is the lowest common multiple of t(9) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 39*g**2 + 5. Let m(b) = -39*b**2 - 6. Let i(t) = 5*m(t) + 6*p(t). Let w(n) = -7*n + 22*n - 16*n. Give w(i(c)).\nAnswer: -39*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000050613211 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*t + 25*t**2 + 42*t + (-t + t + t)*(-t + 3 - 3).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 5*s**2 - 14*s. Let y be m(-7). Suppose 2*b - 468 = -4*z, z - 6 + 8 = y. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1734, 1729, 1710, 1671, 1606?\n\"Answer: -c**3 - c**2 + 5*c + 1731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 42 - ((-266)\/(-98) + -1 + 0).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39161, 0, -10174 in decreasing order.\nAnswer: 0, -10174, -39161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**2\/3 + 274908*i - 2474064 = 0?\nAnswer: 9, 206172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-261)\/81 + (2 - 16\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*c**4 + 2*c**2 - 9*c - 52*c**2 + 51*c**2 + c**3 to the form b*c**4 + p + q*c**2 + t*c + n*c**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 817 - 806. Let t(u) = -12*u - 1. What is the least common multiple of p and t(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10301504?\nAnswer: 2, 53, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 2:04 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 8 - 17 = 5*n, -k + 4*n - 1 = 0. What is the smallest common multiple of k and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 1705*c**6\/6 - 9*c**2\/2 + 54*c - 30. Find the second derivative of i(x) wrt x.\nAnswer: 34100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8*g + 93. Let f be w(11). Suppose 5*m - 42 = k, 5*k + 0 = 2*m - 26. Put -2, f, m in decreasing order.\nAnswer: m, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 806*d**6 - 2867*d**2.\nAnswer: 96720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.08, -0.5, 4\/3, -2\/9, -89569, 2\/5, 0.2?\nAnswer: -89569","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.415, 5, 30\/11?\nAnswer: -0.415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-426)\/355*(-5)\/(-4). Suppose 2*x - x = -78. Which is the smallest value? (a) 3 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**4 + 1 - 1 + (-1 + 4 - 2)*(-3*l**4 + 0*l**2 + 0*l**2) + 3*l**4 - 2*l**4 + 0*l**4.\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/14 + 6\/(-21). Let l = 5.42 - -390.58. Let m = -395.8 + l. What is the third biggest value in y, m, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60791, -243169, -547131, -972677, -1519807?\nAnswer: -2188521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 3*h + 27, 12*h - 383 = b + 22*h - 473 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-25) - -3*(-1)\/(-5). Sort 0.3, 3, a in decreasing order.\nAnswer: 3, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**2 + 0*u**2 + 4*u**2)*(3 + 0 - 4) + 7*u**2 - 26*u**2 + 10*u**2 + (2*u - 2 + 2)*(-u + 2*u - 3*u).\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -258611 (base 11) in base 7?\nAnswer: -3312460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1302493, -2604947, -3907387, -5209807, -6512201?\n\"Answer: l**3 + l**2 - 1302464*l - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(2) + 1 - (-3*sqrt(8))\/sqrt(4) - ((-2*sqrt(96))\/sqrt(6))\/((sqrt(80) - -2*sqrt(80) - sqrt(80))\/sqrt(10))).\nAnswer: 7 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (165 - 65 - 82)*(-11 + 5*m + 11) - 6*m + m + 3*m - 2*m + 6*m - 3*m + m + 3*m - 6*m + (-2 + 3 + 1)*(0 + 0 + 2*m) + 3*m + 2 - 2.\nAnswer: 94*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3 - 3*c**2 - 7388*c - 232337.\nAnswer: 3*c**2 - 6*c - 7388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492 = -g - 2*a, -4*g - a + 0*a - 1982 = 0. Let n = 243 - g. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 178 + -176.72. Let k = q + 0.72. Sort -1\/8, -9\/7, k in decreasing order.\nAnswer: k, -1\/8, -9\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-56)\/(-35)*(-5)\/(-2). Find the second derivative of -3*q**2 + 0*q**2 + c*q + 2*q**2 wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 + -3 + (8 - 13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2693\/18 - 305\/2. What is the second biggest value in 0.12, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -4*v - 4*u + 319, -2*u - 98 = -v. What is the derivative of 145 + 196*n - v + 47 + 65 + 49 wrt n?\nAnswer: 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/(-2) - 40\/(-10). Sort d, 2, -25 in descending order.\nAnswer: 2, d, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/879, -0.2, -0.3, -3 in ascending order.\nAnswer: -3, -0.3, -0.2, -1\/879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**2\/2 + d + 1. Suppose 5*h = 5*l + 15, 4*l + 0*h + 24 = -2*h. Give b(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-17)\/(-34))\/((-2)\/(-4)). What is the common denominator of -109\/18 and ((-1170)\/1704 + o)\/3?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 644.6 + -747. Let u = 102 + s. What is the third smallest value in -0.9, u, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 14. Suppose x - 2*x - 5*r + 4 = 0, -y*r = -5*x - 10. Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*s - s. Suppose 3*p - 77 = -4*q, -s*q + 18 = -2*q + 2*p. Suppose l + 4*l - 19 = -j, 4*l - q = 4*j. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -30.7.\nAnswer: -30.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*m - 7 = -0, 2*a - 22 = 4*m. Solve 3*u = -0*u - a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 23.5\nAnswer: -7.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2710 - 2705. What is the least common multiple of z and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z. Let s(u) be the first derivative of -9 + 3\/2*u**2 + 0*u. Give k(s(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -108 and 4.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + (4 - 1))*-3. Let c be l*1 - (2 + -8). Is c + -4 + 294\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c - 2. Let q be g(3). Let k be (-1*2 - -3)*q. Suppose 2 = o - 5. What is the greatest common factor of k and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 + w**2 + 4*w**5 + (1 - 4 + 4)*(-25*w - 37*w**2 + 22*w**2 + 16*w**2)*(4*w**3 + 81*w - 81*w).\nAnswer: 8*w**5 - 100*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**2 - 2*d + 2*d)*(-d + 0 + 0) + 9*d - 19 - 5*d**3 + 10*d**3 + 21 to v*d**2 + a + p*d + h*d**3 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**0*v))**9*v*v**(7\/5)*v*v*v**(-8))**(-20) assuming v is positive.\nAnswer: v**252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 + 7*t - 9. Suppose -2*o + 374 = w, 490 = 2*o - 3*w + 124. What is the lowest common multiple of g(-4) and o?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 0.21, -1\/8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -528 - -15?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1045 and 11951.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 431235706\/3527 - 122267. Let o = -88223\/56432 - v. What is the common denominator of o and 11\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 696 and 348?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 + 0)*(-2*x + 3*x + 0*x) + 0*x - 4*x + x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -13, -2 in decreasing order.\nAnswer: -2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5189*f + 5893*f + 3299*f + 15316*f - 6527*f to d + n*f and give n.\nAnswer: 23170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (2 - -1) + -1 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-6*(sqrt(931) + -1 + sqrt(931)) + 5) - (-3 + 4 + sqrt(931) + 1 + 3)) + 4)**2.\nAnswer: -29610*sqrt(19) + 2058604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 12*b - 147600 = -b. Is b a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzj when three letters picked without replacement from aajjzzjjjjj?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -184 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.805 + -0.985. Put -3, a, 3\/8, -0.4, -6 in descending order.\nAnswer: 3\/8, a, -0.4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4) + 2 + 45\/20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -151914300 to the nearest 1000000.\nAnswer: -152000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 12:03 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-544)\/68)\/((2*18\/48)\/((-30)\/4))\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/6*(-6)\/4. Suppose g*f - 8 = 52. Solve f = -w - 5*u, 21 = 5*w - 0*w + u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 + 2*y - 6. Let o be -9*(4\/(-6) - 8\/(-6)). Let h be k(o). Calculate the highest common divisor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(3)*2) + (sqrt(120) - sqrt(120)*-1)\/sqrt(10))\/((sqrt(576)*-1 + sqrt(576))*-5 + sqrt(576) + sqrt(576)).\nAnswer: 5*sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 428*k - 1727. Let y be l(-4). Which is the second smallest value? (a) y (b) -4 (c) 4 (d) -1 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 49?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, 2, 0, 106, 1, 20 in increasing order.\nAnswer: -8, -3, 0, 1, 2, 20, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 757254 and 28182?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 4*a - 10 = -t, 4*a = -t - 6. Suppose -4 = -o - 1. Sort a, 2, o, 9 in increasing order.\nAnswer: a, 2, o, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -5*u**4\/24 - 5*u**2. Let b(z) = -2*z. Calculate b(q(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001178945 to 6 dps.\nAnswer: 0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**4*g**2 - 3*c**4*g*n + 18*c**4*n + 79*c**2 + 4*c*g**2*n + 2*n wrt c.\nAnswer: 24*c*g**2 - 72*c*g*n + 432*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32\/75 - -92\/75. Put -0.5, y, 2 in descending order.\nAnswer: 2, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) -0.02 (c) -1\/24 (d) -5 (e) 5 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/744 + 18229\/744. Calculate the common denominator of -89\/18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 61. Let i = n + -35. What is the greatest common divisor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -711*w - 36210 = 27199 - 12217 for w.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -562\/57 + 181\/19. Let w = 3 - -13. Suppose 4*y = -y + j - w, -2*j - 20 = 3*y. What is the nearest to g in y, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4424, -4443, -4462, -4481, -4500, -4519?\nAnswer: -4538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2062, 2068, 2074, 2080?\nAnswer: 2086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 + 2*w - 7. Suppose 5*r + 93 = -4*c + 313, 146 = 3*c - r. Calculate the least common multiple of s(-3) and c.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 128, 94, -88, -418, -896?\n\"Answer: -74*j**2 + 188*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f = 52*f. Solve f = -464*p + 462*p + 14 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -21. Let q be (x\/5)\/(4\/(-10)). Let c(r) = -2*r + 12. Let z be c(q). Which is smaller: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*b**3 + 61*b**2 - b - 10145 wrt b.\nAnswer: 27*b**2 + 122*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -48. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -23. Let c be 2\/3 - 1\/(-12). Suppose -4*f = -2*f. What is the second smallest value in m, c, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 869*u - u**2 + u**3 - 875*u - u**4 + 0*u**3 in the form k*u + s*u**3 + b*u**2 + g*u**4 + a and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 7*m**2 + 20*m - 77. Let a be l(6). Suppose 3*x = -2*y + 8, 2*y + 2*x - a = 3. Solve 12*s - y*s - 15 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*w + 523 = -30 - 182. What is the remainder when 103 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 minus -1.88?\nAnswer: -184.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00255914265 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j - 2. Suppose -12*h + h - 77 = 0. Calculate x(h).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6402 or -7271?\nAnswer: -6402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 3*t. Suppose -4*a + 0*a + 32 = t. Solve 5*u - 3*w + 8*w = -20, a = -5*u + w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*q**5 + 1307872*q**4 - 3057093644*q**3 + 12038288104*q**2 - 11509869392*q - 697585952 = 0. What is q?\nAnswer: -2\/35, 2, 4669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 13*r - 24. Let m be l(4). Solve n + 12 = -c + 4*n, -m = -5*c - 3*n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/92264494 and -167\/24738.\nAnswer: 276793482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 1. Let g(t) = 51*t**2 + 242*t + 173. Let n(l) = -13*l**2 - 61*l - 43. Let q(s) = 6*g(s) + 23*n(s). Determine -147*j(i) + 3*q(i).\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 + -2?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8251*g + 29. Calculate v(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.4. Let i(n) = -n**3 + 3*n**2 + 6*n - 21. Let l be i(3). Let y = 12\/11 - 35\/22. Which is the fourth smallest value? (a) l (b) y (c) -16 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4 = 0, -4*a + 5*a + 2*y = 7. Factor 3\/2*d**3 - 3\/4*d + 0*d**2 + 0 + 0*d**4 - 3\/4*d**a.\nAnswer: -3*d*(d - 1)**2*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 2*v - 3, -2875*r = -2869*r + 3*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 8*o - 36 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -2*y + 58, -y = -2*s + 4888. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -22, 6, 14, -4?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -6 + (-40)\/(-2). Let r = -597 + 598. Let g be (r + 1)*15\/u*9. Solve 5*q - h - 2*h = 15, 3*q - 3*h - g = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - 2*l + 0*l)*(-18*l - 19*l - 2*l) as q*l + j*l**2 + s and give j.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -1594, -5, -3, -313 in descending order.\nAnswer: -3, -5, -27, -313, -1594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/41, -179, 3, 2\/9, 20 in decreasing order.\nAnswer: 20, 3, 2\/9, 2\/41, -0.4, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -490*x - 6345. Calculate z(-13).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -507, -1017, -1519, -2007, -2475, -2917, -3327, -3699?\n\"Answer: g**3 - 2*g**2 - 511*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3286 + -3295. What is the closest to n in -10, 0.1, -0.4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/11 (b) 53 (c) -6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 814 (base 12) to base 14.\nAnswer: 5d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 19*k**2 - 953*k + 1232. Give w(22).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41710 and 10.\nAnswer: 41710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -175866*j - 527433. Determine p(-3).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(5)*4)**2 + (sqrt(5) - (sqrt(605) + -1)) - (sqrt(2500) + (-3*sqrt(2500) - sqrt(2500)))\/(sqrt(20)*2).\nAnswer: -5*sqrt(5)\/2 + 241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 666*p**2\/5 - 460707*p\/5 - 22836.\nAnswer: 3*(p - 692)*(222*p + 55)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12133 + 12112?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {e: 5, m: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61225582?\nAnswer: 2, 11, 2782981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5979056 times -2.7?\nAnswer: -16143451.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 18\/23 (b) -40 (c) 2\/3 (d) -3.3 (e) -4 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 19*x - 39. Give l(-4).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f + 9. Give x(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35326 + -35126. Calculate the highest common factor of w and 3425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 4 + 1. Suppose t - 5*i - 34 = 0, 4*t + 4*i + 0*i - 40 = 0. Calculate the remainder when -1 + 27 - (k - 0) is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 2:59 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 0*g**2 + 5*g**2)*(928*g + 146*g - 82*g).\nAnswer: 992*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 411*c + 0 - 524*c + 0.\nAnswer: c**2 - 113*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s**4 + 253*s**3\/3 - 206*s**2\/3 - 388*s\/3 - 88\/3 = 0.\nAnswer: -2\/3, -2\/7, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -8*o - 42. Suppose 0 = -o*s + 914 + 352. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-3))\/(-2) - 5. List the prime factors of 220\/14 - r\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**4 + m**4 - 3*m**4 + 2*m**4 - 3*m**4 - m**4 + (16 - 9 + 21)*(m**2 - m**2 - m**4) as u + h*m + w*m**4 + j*m**2 + z*m**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5516 and 41188.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 202.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -70997372 divided by -17749343\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.2925 + 148.3095. Let a = g - 149.8. Let n = 0.317 - a. What is n rounded to 0 dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -188 - -310. Let y = f + -122. Let c = y + -3. Sort c, -2, 1\/2 in increasing order.\nAnswer: c, -2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21620 times 10.9\nAnswer: 235658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1888357 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 419604, 419605, 419606?\n\"Answer: m + 419603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124592100 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 7, y: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*p = -2051 + 2829 - 1354 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 + 15*w - 13. Let o be t(3). Suppose -4*p - 4 = 4. Let r be (8\/(-36))\/(p\/(-6)). Sort r, -5, o in descending order.\nAnswer: o, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 4:51 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 3 (b) -246 (c) 40 (d) -196\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1994387 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6760801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1220 - 1222 + 2*d + 3663 - 1224. Let b(v) = -4 + 3*v - v + 1. What is -4*b(l) + 5*q(l)?\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3299 is divided by 336?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-1))\/(57\/27 + -2). Suppose w - 10 = -s. What is the greatest common factor of 2 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 1. Let u(x) = 3*x - 5. Let s(f) = -2*r(f) + u(f). Suppose 2*a + 3*q + 2*q - 15 = 0, 0 = 3*q - 3. What is s(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 28*b + 26 + 159 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 - 638260*x**3 + 20386017110*x**2 - 1099449442980*x + 14836288701645.\nAnswer: 5*(x - 63799)**2*(x - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1714*q + 48049 = -27367 for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37097437747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -397 - -267. Let l = 76 + k. Does 19 divide (-2)\/(-3)*(3 - l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-3 - -4 - 1)) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21300512 and 18.\nAnswer: 191704608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (185\/222)\/(625\/(-120)).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*r = 4*q + 17, 2*q = r + 25. Let d = 765.2 + -764.4. What is the nearest to d in 1\/5, q, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/5581 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 70*k**2 - 306*k + 105. Give x(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50311441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 27261*y - 27269*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Let z be (0 + 0)*-1 + f. Suppose 0 = -0*c + 2*c - 8. Solve -u + z*l + c*l + 22 = 0, 0 = l + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -3. Let m be (c*-6 + 1)*6. What is the common denominator of (0 - 267\/m) + 0 and -14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (49 - -2)*3\/(-9). Let c = 19 + d. What is the lowest common multiple of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1454578*n**2*p**2 - 166*n**2 - 3*n*p + 11*p + 120 wrt p?\nAnswer: 2909156*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 599 in 2, 3.9, -1?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*((2 - 1 + 1)*(0 - 2*y + 0) + 8*y - 52 + 52).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10\/1087 + -1456\/394581. Let n(b) = 19*b + 57. Let u be n(-3). Does u = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1221\/(-11)*2\/(-6). Let k(r) = r**2 - r + 2. Let m be k(2). Suppose -m*w + d = -3*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -63*y + 105. Let u be x(-25). Suppose -14*c + u = -4634. What are the prime factors of c?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = z - h, -41 = 3785*z - 3790*z - 3*h for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -101*m + 408. Calculate s(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 38 = -3*j, -2*l - 4*j + 525 - 493 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0 + 6 = 0. Let l(d) = 2*d**2 - 2*d + 1. Let i be l(b). Calculate the highest common factor of i and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = x - 4*d - 17, -d - 11 = -3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/251 and -27\/8.\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*z = 4*z - 20295. Let g = z + 1477. Round g to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*q + 150*q - 74*q + 5*s - 9 = 0, 0 = 5*q - 5*s + 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + 125. What is the greatest common factor of p and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(1\/14))*a**(-2\/9))\/(a**(-1\/2)\/a**(-13)))**(-2\/35) assuming a is positive.\nAnswer: a**(1612\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -23. Calculate the remainder when 46 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1208 + -624. Let g = c + -580. Sort 3, g, 1, -1.\nAnswer: -1, 1, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614186 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.8 + -92.2. Let h = 107.7 + y. Let v be (3\/(-18))\/(4\/(-6)). Put -0.6, v, h in ascending order.\nAnswer: -0.6, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + ((-3)\/4 - (-2655)\/20). Let v = 262 - w. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, -5, -14 in descending order.\nAnswer: -5, -14, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 - 5*w + 5*w + (2*w - 8*w + w)*(-2*w + w + 3*w) - 3*w**2 + 6 - 6.\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(0 + 1)*1. Suppose -4*r = 5*z - 1, -k*r + 3 + 14 = z. Let t be z\/1 - -1 - -5. Solve -3*g + 0*y = -5*y - 12, 8 = 2*g - t*y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 6 - 3)*(3*a - 2*a - 3*a) + a - 6*a - 39*a - a + a - 2*a + 6*a - 8*a + 0*a as j*a + i and give j.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 2*o - 3295. Let k = -210 - o. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -5*z**2\/2 - 2. Let h(k) = 98618 - 98618 - 2*k**2. Determine u(h(v)).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -30*z. Suppose -4*q + 37 = -11. Let c(y) = -200*y - 197*y + 2 - y**2 + 409*y. Let b be c(q). Let m(p) = -3*p. Calculate b*s(f) - 21*m(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 1:01 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 611317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i - 35. Calculate k(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-133)\/38*(-20)\/7. Suppose n = 4*t - 54. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**2 - 4*q + 1. Let w be z(0). Is 10\/347 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 1. Suppose -r*v = -80 - 296. Let s = 144 - v. What is s rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**2 - 2*n - 1. Let d be t(2). Let o be (132\/(-11))\/(2\/(-4)*1). Let w = o - d. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11532304339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (14\/4)\/((-18)\/(-36)) and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 - (-2 + -2 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12806*u**3 + 21*u**2 - 5*u - 6757060?\nAnswer: 38418*u**2 + 42*u - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189036398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**3\/2 - 3*i**2 - 36*i. Let b(z) = -z**2 - 16*z - 55. Let w be b(-6). What is y(w)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08250776 plus -218.26997?\nAnswer: -218.35247776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 3. Suppose 7*q + 3941 - 399 = 0. Let r = q + 500. Determine f(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 15 - 5 = -7*r. Which is the second biggest value? (a) r (b) -572 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 8*b - 15. Calculate the remainder when c(16) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 24*u + 60 = 0. Calculate the remainder when 33 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7097196?\nAnswer: 2, 3, 211, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 407 = 8*x. Let u = 131 + x. List the prime factors of u.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 - 14*s - 131. Is u(-56) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 617 (b) -4\/5 (c) 0.3 (d) 70\/13 (e) 4 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -15407*d - 123251. What is c(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 20229699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -163*t - 30 - 35 + 28 - 22 + 151*t to the form d + z*t and give d.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 28 = -3*c - 54, -c = 5*w - 66 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2134 + -61d?\nAnswer: 1a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -112510.081 to the nearest 10.\nAnswer: -112510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 65370.\nAnswer: 65370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -202.52?\nAnswer: 607.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (176\/(-12) + 2)\/((-1)\/(-9)). Let o = 127 + d. Suppose 0 = -4*a - 16*j + o*j - 50800006, 5*j = a + 12699990. Round a to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 8*b**2 - 9*b + 5. Let v be l(6). Let n = v + -23. Suppose -4*k + 0*k - 13 = -5*i, 2*k = 4*i - 8. Put 1, k, n in descending order.\nAnswer: 1, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -5 + -15 - 22) + 6?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + f - 6. Let w be c(0). Let u be 3\/w - (-2)\/28. Let k be (-10)\/3 - (-5 + 2). What is the closest to k in 0.3, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/2)*s)**(-7\/2)*s*s\/s**(2\/15)*s*s**(-5) assuming s is positive.\nAnswer: s**(-653\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52020140 and 2345?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooovrvvifvbvv. What is prob of sequence ibri?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5711167\/8 - -713886. Let p = 2\/9065 - -444153\/145040. Find the common denominator of n and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 3*s - 1. Let g(f) = -f**2 + 5*f - 1. Suppose -4*q + 7*q = 0. Let j = q - -1. Suppose -w - 4 = j. Give w*h(o) + 3*g(o).\nAnswer: 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 3:18 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gng when three letters picked without replacement from agggagggagngggg?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a**(-1)*a)\/a)\/a))**(1\/6)*(a*a\/(a**(1\/4)\/a)*a)**(-15)*((a**(2\/13)*a)\/(a*a**(-5)))\/(a\/(a*a**(2\/17)\/a)*a*a*(a*a**(-3))\/a) assuming a is positive.\nAnswer: a**(-44623\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.013? (a) -9 (b) 1 (c) -442\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*3\/(-3)*(-24)\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-2 - (5 - 10 - -1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -61, -73, 1, -95 in ascending order.\nAnswer: -95, -73, -61, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 4*j - j**2)*(2*j**3 + 3 - 3) + 3*j + 0*j**5 - j + j**5 - 17*j**5 + 4*j**5 - 6*j**5.\nAnswer: -20*j**5 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 834\/85 + -160\/17. Put g, 7, 1, -5 in decreasing order.\nAnswer: 7, 1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(1*1*sqrt(10)) + -4.\nAnswer: -4 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 6 = 0, 4*l - 8*l - h + 2 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 9*b**2 + 2*b - 13. Let i(m) = -4*m**2 - m + 6. What is -13*i(j) - 6*s(j)?\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 53b777a + -1a?\nAnswer: 53b7760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 49*j**4\/9 - 1841*j**3\/3 - 1076155*j**2\/9 - 102227*j\/3 + 7310 = 0?\nAnswer: -102, -3\/7, 1\/7, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 43\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312814701 divided by 104271567.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25.84 - -30. Let v = 0.16 - q. Let i = v + 6. Which is the third smallest value? (a) i (b) -0.1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 3 (c) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68683, -137470, -206257, -275044?\nAnswer: -343831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4*w - 18, 0 = -u + 4*u + 3*w - 33. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8*x - 4. Let q be i(-5). Let d(m) = 16*m**2 + 67*m - 17. Suppose 55 = 97*t - 108*t. Let c be d(t). Calculate the highest common factor of c and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axu when three letters picked without replacement from {a: 1, u: 2, x: 6, j: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**4\/3 - 9*c**3 + 25*c**2 - 73*c\/3 + 8 = 0.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38 times -42.63516?\nAnswer: -16.2013608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 t when three letters picked without replacement from {x: 2, b: 9, t: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 1. Let h(r) be the first derivative of r**2 + r - 63. Let x(j) = 2*j - 9. Let s be x(6). Calculate s*m(n) + h(n).\nAnswer: 3*n**3 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-1) + 1*-1. Let n(y) = -y**3 + 15*y**2 - 9*y - 1. Let o be n(13). Suppose -o = i - 5*i. What is the highest common factor of i and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) 6\/5 (c) -246731\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**6\/300 + d**5\/75 - d**4\/60 + 3*d**2\/2 + 3. Let y(b) be the second derivative of n(b). Factor y(u).\nAnswer: -2*u*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 12. Let p = j + -5. Suppose -18 = p*g + 4*z, -3*g + g - 4 = -3*z. Let q(x) = -3*x**2 - 5*x. Let a(o) = -o**2 - 2*o. Give g*a(i) + 2*q(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w = -17*w - 20, 2*w - 10 = -4*d. Solve d = 46*l - 40*l - 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = q. Let a(u) = 21*u - 21*u + u**2 + 40. What is the units digit of a(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 3301311511?\nAnswer: -3301311502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 868*p. Let u(b) = 91447*b. Give u(c(f)).\nAnswer: 79375996*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b94 + -9?\nAnswer: -ba1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/126 and 181\/60.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1563\/36*3 + 4\/(-16). What is the greatest common divisor of 52 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 281 divide 591852530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15369, 14660, 13951, 13242?\n\"Answer: -709*v + 16078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000320943344 rounded to 7 dps?\nAnswer: -0.0000321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (4*5\/(-3))\/(1088\/(-272))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*m - 5*z, -1912*m + 1907*m + z = -21 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377134476?\nAnswer: 2, 3, 31427873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5774 divide 545751589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*y = 4*t - 53, -4*y + 27 = 3*t. Suppose 0 = -6*x + 2362 - 1738. What is the highest common divisor of t and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2106443?\nAnswer: 1319, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6803944 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -175, -179, -185, -193, -203?\n\"Answer: -b**2 - b - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a minute in seconds?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-3)\/(15 + 3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3425480561?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*p - 77*p = 94. Suppose -89*w - 220 = -p*w. Calculate the highest common divisor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2042 - -2044. Suppose -24\/11*f**c - 18\/11*f**4 + 48\/11*f**3 + 0 + 0*f = 0. Calculate f.\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 69*c. Let r(p) be the third derivative of -14*p**2 + 1\/30*p**5 + 0*p**3 + 0*p + 0*p**4 + 0. Give r(b(k)).\nAnswer: 9522*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2674 and 1910.\nAnswer: 13370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 14*j + 5. Let d be z(14). Let w(k) = -k**3 + 6*k**2 - 4*k. What is w(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from lblbllb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 14*a - 21. Let y be m(-8). Suppose -y*s + 9 - 9 = 0. Solve 2*u + s*l + 3*l = -13, 2*l + 12 = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 9:28 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 4823, -1\/6, 6\/185 in ascending order.\nAnswer: -0.4, -1\/6, 6\/185, 4823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*n + 34*n + 2*b = 0, -5*b + 30 = 5*n. Suppose n*k + 93 = 95. Suppose -2*l - 2*l = 16. Put 2, -5, l, k in decreasing order.\nAnswer: 2, k, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) 1 (b) 12 (c) -0.1 (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 576513740 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 + d + 324. Let r be y(0). Let g = r - 320. Solve g*m + m - 10 = 0, 4*q - 2*m = -4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -95*m**3 + 2*m**2 + 10. Let q(l) = l**2. Let d be (-104)\/(-28) + (-6)\/(-21) + -5. Let t(k) = d*q(k) - p(k). Find the third derivative of t(w) wrt w.\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2. Let a(m) be the second derivative of 7*m**5\/60 - 3*m**2\/2 + 5*m. Let y(j) be the first derivative of a(j). What is h(y(i))?\nAnswer: -98*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 223\/40 + -51\/8. Let w be -2 - ((-68)\/(-12) + -3)*(-1764)\/2184. Sort g, 0.3, w in descending order.\nAnswer: 0.3, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkw when three letters picked without replacement from tkknqktkwnt.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Solve 415*d + 2646 = 455*d - 194 for d.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5443488 divided by 66384\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -79261.\nAnswer: 15\/79261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2452 - -477?\nAnswer: 3151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l**3*q**2 - 3*l**3*q*v**3 - 15*l**2*q*v**3 - l**2 - l*q + 93947*q**2*v**3 + 14*q*v**2 + 4*q*v wrt q?\nAnswer: -8*l**3 + 187894*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -12016\nAnswer: -1\/6008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5 - 16 + 15196*o + 7 - 6. Let m be r(-5). What is m rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from ttictttutttt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95641 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfny when four letters picked without replacement from fffnyhufyu.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2*k - 3*k)*(-2*k + k - k) + (1 + 2 - 1)*(5 - 5 - k**2) + 0*k - k**2 + 0*k.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-12))\/((-6)\/(-1134)))\/((-6)\/(-2))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**4\/3 + 13526*k**3\/3 + 54008*k**2 = 0.\nAnswer: -6751, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/27 and -13\/118506.\nAnswer: 1066554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.2 - -3. Let d = 0.1 - q. Let m = 0.2 - d. What is the biggest value in -0.2, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*j**2 - 11*j**2 + 314 - 16*j**2 + 40*j**2 to the form q + m*j**2 + f*j and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.139 rounded to one decimal place?\nAnswer: -13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -46792923 and -93585847\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f + 19*f = -13*f + 800. What is the remainder when 390 is divided by f?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131848.3508 plus -22?\nAnswer: -131870.3508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02990060057 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k. Let u(h) = 0*h + 0*h - 3*h + 2*h. Determine 4*m(w) + 11*u(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 + 25545?\nAnswer: 30005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1cda8 (base 15) to base 6.\nAnswer: 2004052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2\/2 - 7885488*z + 15770978 = 0.\nAnswer: -15770978, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 152217, 152105, 151993, 151881, 151769?\n\"Answer: -112*w + 152329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 28*d**2 + 298*d + 3069. What is the hundreds digit of k(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135908*i + 39 + 135958*i - 39.\nAnswer: 50*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-6) + (-58)\/(-6). Let z be 23*y - (0 + 4). Let r = z - 86. Calculate the highest common factor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 3\/122, -4, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-9)\/(459\/6) - (-5 - 7669\/17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 48, -1, 39, 0, 2\/21, 4?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 850 - 788 - (2 - 0) - 25?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3253 - -9716\/3. What is the common denominator of p and (-13)\/4*30\/(-21)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1957.\nAnswer: 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 427 and 15883?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) -5\/3 (c) -3 (d) -2\/17 (e) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 0 + 0 + l**2 + 2. Let s(z) = -2*z**2 - 13*z - 2. Let w(r) = r**2 + 6*r + 1. Let k(h) = 6*s(h) + 13*w(h). What is a(p) - 2*k(p)?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124*g**3*y**3 - 4*g**3*y**2 - g**3 + 135543*g**2*y**3 - g**2 - 137838*g wrt y?\nAnswer: 744*g**3 + 813258*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2818122435 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756828 is divided by 129.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (45\/(-12))\/(21\/(-11480)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 90429*r**2 - 51467 wrt r?\nAnswer: 180858*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 312\/11*h + 2\/11*h**2 + 12168\/11 = 0.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 + 1213787*r**3 - 3*r**2 - 1243750*r**3.\nAnswer: -29963*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 11860287.\nAnswer: 2\/3953429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1445 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -345473*q**2\/2 - 24*q - 14. Let l be m(23). Let c = l - 11554097. What is c rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4086 and 10412944.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 1046 + 191. Let m = 60 + -41. What is the highest common divisor of i and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -807 + 817. Solve 0 = -57*y + 47*y + t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 191 + 69. Let y = j - -51. Let v(m) = 73*m**2 + 1. What is the tens digit of v(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*sqrt(143)*-5 + sqrt(143))\/(sqrt(1331)*1).\nAnswer: -4*sqrt(13)\/11 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 392 and 395528?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**3\/2 - w**2\/2 + 22*w. What is v(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 5:56 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 336 + 2756. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*(11 - (-16 - -25))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -17*p**3 - 2*p - 1. Let f be d(-1). Calculate the highest common factor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*u**2 + 26*u**2 - 2*u**2.\nAnswer: -46*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1410554*p**3 + 897720 wrt p.\nAnswer: 4231662*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 5, 194215, -2 in ascending order.\nAnswer: -19, -2, 5, 194215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 2*b**4 - 11*b**3\/3 + 9. What is the third derivative of c(l) wrt l?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**4 - 555543*i**3 - 537121*i**2.\nAnswer: 48*i - 3333258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 801 - 803 - (-1 - (-10 + -1 + -2)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1426 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49\/(-4116)*-24)\/((-23)\/7*3).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, s: 1, n: 1, w: 2, o: 1}. What is prob of picking 1 s and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 17*d + 520. Determine r(33).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 1:57 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1366*s**2 - 10*s - 100. Let h(f) = -5467*f**2 - 42*f - 396. Let k(z) = 2*h(z) - 9*o(z). Find the second derivative of k(r) wrt r.\nAnswer: 2720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, w: 7, x: 1, a: 4, g: 6}. Give prob of sequence ii.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2879, 5681, 8409, 11063, 13643, 16149, 18581?\n\"Answer: -37*v**2 + 2913*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 1260*g - 7 - 7*g**3 + 1087*g.\nAnswer: -7*g**3 - 173*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 9:22 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45901782 rounded to two dps?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20.1 + 6.6. Let w = 0.1 - z. Let x = 13.5842 - w. Round x to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 754*h - 33540. Calculate w(44).\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -443 - -439. Let u = d - -3.999995864. What is u rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 34, -3, -5, 56.\nAnswer: -5, -3, -1, 34, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, t: 6, r: 3, o: 1, c: 5}. What is prob of picking 2 x and 2 r?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -1 (b) -2\/3 (c) 1\/5 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2984 is divided by 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, h: 7}. What is prob of sequence hh?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.00683 and -677?\nAnswer: 4.62391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + (sqrt(567) - (((0 + sqrt(567))*5 - sqrt(567)) + sqrt(567))) - (sqrt(567) + sqrt(567) + 1*sqrt(567))*-5 - (-3 + 1*sqrt(567)*1))**2.\nAnswer: 594*sqrt(7) + 68616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23.57681 and -6.\nAnswer: 141.46086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2205*m**2 - 8810*m - 40.\nAnswer: 5*(m - 4)*(441*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = o + 33. Let j be o + 2 + -6 + 4. Round j to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 2*m - 5 - 12, -2*i + 4*m - 30 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*s - 4*y, 0*s - y - 4 = s. Let h be ((-12)\/2)\/(s*-2). Solve 2*f = -2*w + 10, -1 = -2*f + 4*w + h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4012, -16012, -36018, -64030, -100048, -144072, -196102?\nAnswer: -256138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3))**44\/((a**(-1\/5)\/a)\/(a\/(a\/((a*a**2)\/a)))) assuming a is positive.\nAnswer: a**(268\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -686*m**4 + 1790*m + 136. What is the derivative of v(g) wrt g?\nAnswer: -8232*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5467.308km in centimeters?\nAnswer: 546730800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 + 2*i**2 - 3*i**2 + (i + 11 - 11)*(-2*i - i + 5*i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + sqrt(75))**2 + (4*sqrt(75)*-4)**2 + -1.\nAnswer: 20*sqrt(3) + 19277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134862?\nAnswer: 2, 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -3\/8 (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 + -90. Suppose -10*v - 5*v = -j*v. Suppose v = -5*h + 280 - 45. List the prime factors of h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1572, -3031, -4516, -6039, -7612, -9247?\n\"Answer: -2*l**3 - l**2 - 1442*l - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248800463.\nAnswer: 59, 4216957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 69 = 3. Let m(u) = 19*u - 14. Let a be m(6). Let s = a - 86. What is the remainder when r is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148219 smaller than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 13*n**2 - 17*n + 16. Let g be x(12). Let y be -10*6\/(-12)*-9 - (-34 + 30). Which is smaller: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 1 + 1*sqrt(19) + -1 + sqrt(475) + -4 + -4)*-6)**2.\nAnswer: -2160*sqrt(19) + 25524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -85d1 (base 14) to base 9\nAnswer: -34633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 119*y**3 - 17*y**2 - 17. Let b = 1121 + -1118. Let j(c) = -20*c**3 + 3*c**2 + 3. Calculate b*i(q) + 17*j(q).\nAnswer: 17*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25.977 - -0.023. Let v = -25.5 + c. What is the smallest value in 4, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 - 15\/(-9)*3 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zww when three letters picked without replacement from zwzzzwzzzzz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -910*r - 15132 = 254*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y + 10. Let t be j(0). Solve 5*z = 4*w - 4 + t, z = -w - 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 0. Let i = 46 + -45.9. Let w = 192 + -188. What is the nearest to i in k, w, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5124 - 5123.8. What is the third biggest value in x, -2\/3, -10\/227?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 20*d + 6*d - 16*d + 43*d as u + h*d and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in 3, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 - -16.1. Let j = 59 - f. Let k = j + -43.99879. Round k to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 15) to base 9.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61.26 + 77.9. Let z = p + -17. Let c = z + 0.26. What is the closest to c in 0.3, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12025508 divided by -2\nAnswer: -6012754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c - 1. Suppose 5*p - 2*r - 31 - 49 = 0, 4*p + 3*r - 64 = 0. What is the remainder when d(-4) is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2930847.\nAnswer: 3, 53, 18433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1, 33\/76, 0.31 in descending order.\nAnswer: 1, 33\/76, 0.31, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(2\/23)*j)\/j)\/j**3*j**(-5)\/j**(-1\/4) assuming j is positive.\nAnswer: j**(-537\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15983 is divided by 13832?\nAnswer: 2151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**4 - 3*k**5 - 5*k**4 + (1 + 3 - 2)*(-8 - 8*k**5 + 8).\nAnswer: -19*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 59. Let l = -564 - -583. Give s(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7370 = -4*q - 230. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 6:39 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97*c**2 + 201*c**2 + 256*c**3 + 2*c - 99*c**2 wrt c?\nAnswer: 1536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 1:47 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t - 5. Let r(c) = -2*c + 3. Let n be -30*(-3 + 0)\/6. Suppose n = 3*v + 2*v. Calculate v*a(w) + 5*r(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 10194376*r.\nAnswer: 4*r*(r + 2548594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)\/sqrt(275) - 2*sqrt(304))**2 + 5 + (sqrt(57)\/(sqrt(12)\/sqrt(4)) - sqrt(19)) + -2 + -5)*5.\nAnswer: 28849\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-17 - (-6 + (4 - (1 + 3))))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s - 4. Let u(m) = m**2 + 4*m + 1. Let d be u(-4). Let o(n) = 1. Determine d*c(p) + 6*o(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 139 + 221. Let y(t) = -90 + t + z. Let g(a) = -17*a. What is g(y(d))?\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -8896044400 to the nearest 1000000.\nAnswer: -8896000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -459 and -199?\nAnswer: 91341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12799999*1 + 1 + -2. What is n rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 20*i + 4 + 3*i + 29 + i. Does 65 divide y(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.4 * 0.7251.\nAnswer: 6.81594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -23. Suppose q = r, 0 = -m - 5*q + 114 + 230. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (34\/10)\/(((-8)\/(-20))\/2). Let k be (-2)\/1 + s + -9. Solve m - k = -11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -72727*s - 436357. Determine h(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/63)\/((-14)\/(-3))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-17 - (0 - -4)). Let b = x + 22. Let s = 23 - 21. Calculate the highest common factor of s and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*d = 3*d - 2, -36 = -4*p - 4*d. Suppose p*x + 4*i - 2*i - 395 = 0, 4*x - 288 = 4*i. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*m + 15, 50 - 97 = -5*t + 2*m. Solve -15*r - 2*d = -12*r - 15, 0 = -r - 2*d + t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 3}. What is prob of sequence ppp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -877 - -877.1. Let y = 4 + -3.6. Let q = -4.4 + y. What is the nearest to q in -0.3, d, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53317 is divided by 1334?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086 times -0.003?\nAnswer: -3.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 8*d + 4. What are the prime factors of h(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(16) + sqrt(5) + sqrt(5) + 0 - ((-1*sqrt(1600) - sqrt(1600))\/sqrt(5))**2.\nAnswer: -1280 + 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 3*o + 40 = -5*s, 30*s - 64*s + 11*o = -34*s + 88 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2092914.\nAnswer: 2, 3, 116273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21.99968 + -22. Round o to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p - 20. Let z be 2\/(2 + -4) + p. Suppose 5*r - 9 + 4 = 3*y, y + z*r - 4 = 0. Solve b + y = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52*o**3*q + 2*o*q + 2*o + 96*q + 2 wrt o?\nAnswer: -156*o**2*q + 2*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -195, 2, 3, 14 in descending order.\nAnswer: 14, 6, 3, 2, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12519 - 50.21719. Let u = 50 + m. Round u to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 16 - (0 + -6 - (-4 - -7))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 118 - 77. Let i = 45 - l. Solve 9*w + 20 = i*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19961 + -19754. Let v(r) = r + 7. What is the lowest common multiple of n and v(4)?\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*x - 2 - 243*x + 2.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5111 (base 13) to base 2\nAnswer: -10101110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 w when three letters picked without replacement from dwww.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1623 - -6797?\nAnswer: 5174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -198843 take away -588.2?\nAnswer: -198254.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 8. Let c(w) = 8*w + 11*w**2 + 19*w**2 - 39*w**2 + 10*w**2 + 8. Determine c(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 + 23*p**2\/3 - 469*p\/3 + 1813\/3.\nAnswer: (p - 7)**2*(p + 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2683 is divided by 554.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-7 + 1 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 1:01 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhkkurrhkkhruhlukkru. What is prob of picking 1 k and 1 l?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 11:38 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**8\/2240 + g**6\/480 + 2*g**3\/3 + 1. Let a(q) be the third derivative of m(q). Determine t so that a(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**5 + 3102*b**4 + 869784*b**3 + 34996656*b**2 + 328683888*b + 896100192 = 0. What is b?\nAnswer: -494, -34, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, x: 1, v: 1, b: 1, c: 1, i: 2}. What is prob of sequence px?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(36)*-4).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1796809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101000111 + -101?\nAnswer: 10101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -28, -24, -9 in ascending order.\nAnswer: -28, -24, -9, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -523 or 180082?\nAnswer: 180082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (14 + -8)) + 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1815 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: Round -0.0001585 to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (372\/(-21))\/((-3)\/21). Is 125 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3700\/(-444))\/(((-10)\/6)\/5)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*j - 26*j + 572 - 3536. Sort 4, j, -5, -2 in decreasing order.\nAnswer: 4, -2, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 4 (c) -6\/5 (d) 16 (e) -12 (f) -1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 16. Let m(w) be the third derivative of -7*w**4\/24 + 35*w**3\/2 - 13*w**2. Calculate the remainder when m(5) is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 30\/(-42) + (-7972)\/(-28). What is the greatest common divisor of n and 665?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56349*i*w**2 - 324501777*i - 503*w wrt w.\nAnswer: 112698*i*w - 503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 6*p + 7. Let r be n(7). Solve -2*i + r*h = 3*h - 11, -4*h + 20 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*u + 626 + 760 = -92*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 8*v + 18 = 0. Suppose -v*j - 2*l = -6*j - 1377, 5*l = -j + 459. List the prime factors of j.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -49, 11 in decreasing order.\nAnswer: 11, 5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1599 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 65, 100, 135, 170?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 67392, 67372, 67354, 67338?\n\"Answer: d**2 - 23*d + 67414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102 + -211?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 - -1.599?\nAnswer: -96.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*l**3 - 8*l - 150*l**3 + 8*l + (0*l**3 + 2*l**3 + 0*l**3)*(126 - 13 + 65) to v + j*l + p*l**2 + m*l**3 and give m.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 17. Let q = -7 + f. Let b = -0.7 + q. Sort b, -0.5, -2\/3.\nAnswer: -2\/3, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6662042328\/11 - 2331741977881\/3850. Let b = o - -49390\/7. Calculate the common denominator of 49\/18 and b.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 58, 90, 5, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -357116\/159 - -2246. Let q = d - 100\/477. Let z = 0.5 - 0. Which is the second biggest value? (a) 0 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 + -3 - (-36 - -35) - 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3165*z - 9. What is the hundreds digit of x(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*q + 423 = -905 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-3))\/(132\/18 + -6). Is d > -95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 43579 + 43570 = 0, -14*s = 5*g - 22 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**3 + 3*c**2 + 5*c**2 + 8*c - 3*c**2 + 11. Let l(a) = -2*a**3 + 2*a**2 + 3*a + 4. Calculate -8*l(t) + 3*x(t).\nAnswer: t**3 - t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5 - 35 = 0. Suppose -r = -2*d + 2. Suppose 123 = 7*f - d*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108 - -116. Let t = -298 + 324. Calculate the highest common factor of g and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/7*504\/(-96)*2\/(-15).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 - 1324*a + 650*a + 604*a.\nAnswer: -2*a**3 - 70*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/159 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or 150\/7?\nAnswer: 150\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008846265 rounded to 5 decimal places?\nAnswer: 0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwzwwwwzzwwwwwww. Give prob of sequence wwzw.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -18.68109.\nAnswer: 149.44872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u. Let b(n) = -2*n - 15. Calculate b(d(v)).\nAnswer: 8*v - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46600693?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(6) - sqrt(54)\/(sqrt(36)\/sqrt(4)))*-2)\/(sqrt(200) - 2*sqrt(200)*-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4)*u*u**(-5)*u*u*u\/u**(-3\/2)*u**(3\/4) assuming u is positive.\nAnswer: u**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 111\/446 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/3)*n*n\/n**6*n)\/(((n**(-4\/3)\/n)\/n)\/n**7) assuming n is positive.\nAnswer: n**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22002220101 (base 3) in base 16?\nAnswer: 26f5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 = -2. Let 4*m**2 - 8*m**4 - 3 + 5*m**x + 0 + 2*m**2 = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -14. What is the biggest value in -3, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0.1, 2, 3\/5, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**(1\/2)\/w*w)\/w)\/w)**3*(w**(1\/3))**9)\/(w**(-6)*w**(3\/5)*w)**(-12) assuming w is positive.\nAnswer: w**(-513\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315) - 2*sqrt(315) - sqrt(35)*1*-2)\/((sqrt(504)\/(2*sqrt(8)))\/sqrt(9)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 1877557304?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 11*w**2 - 9*w + 4. Let q be f(10). Let g(m) = 4*m + 3. Let x be g(3). Which is bigger: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 8*g + 12*g + 3)*(-3*g**4 + 4*g**4 + 11*g**4).\nAnswer: 24*g**5 + 36*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + p - 8. Let s be u(-4). Solve 0*d - s = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158 - 127 - (-4 + 23) - (-43 + 0)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-456)\/(-40) + 2\/(-5). Calculate the greatest common factor of m and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*s - 100. Let a be (0\/(-1))\/(-1) + 13. Let p = a + -3. What is the greatest common factor of s and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from -1885.2.\nAnswer: -1885.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**2\/4 + 189366221*s\/2 - 35859565655820841\/4 = 0?\nAnswer: 189366221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/378606198 and 17\/36?\nAnswer: 2271637188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81295*c + 27072*c + 27094*c + 27131*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**4\/4 - 2*c**3\/3 + 3*c**2 - 3*c + 13. Let g be s(-4). Solve j + 5*f = 10, 2*j + 0*j - g = 5*f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*h**2*k**3*r - 41*h**2*k**2*r - 296*h*k**3*r + 2*k**2*r wrt h.\nAnswer: 18*k**3*r - 82*k**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 61196 - 61193 + 97*i + 3*i**3 + 3*i**3 - 7*i**3 as b + k*i**2 + d*i**3 + c*i and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h + 31 + 5*h - 32)*(9 - 9*h**3 - 9) as y + c*h**3 + i*h**2 + n*h**4 + x*h and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2267.4 - -2267. Which is the closest to -1? (a) 1.1 (b) -0.2 (c) w (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i + 158 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4233.42 months in decades?\nAnswer: 35.2785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (69 - 26) + (-199 - -93)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 165, 381, 683?\nAnswer: 1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2 (b) -1208 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 3*a)*(-3 - 5 + 1)*(2*a**2 - 3*a**2 - a**2) as r*a + k + b*a**2 + d*a**3 and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*(b**3*b*b)\/b*b)**(-1\/19))**(-8\/3)\/((b*b**6*b*b*b*b*b**(-2\/3)*b)\/(b*b*b*(b*b\/(b*b\/(b*b*b\/b**(3\/2))))\/b*(b**(-1\/6)*b)\/b)) assuming b is positive.\nAnswer: b**(-400\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/53 not equal to -15437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70799\/2159 - 556\/17. Calculate the common denominator of i and -26*25*9\/270*6\/(-16).\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + ((-24)\/(-3) - 3). Let x(s) = s + 5. Let w be x(-5). Find the second derivative of -2*i**q - 6*i + 4*i + w*i**5 wrt i.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + 4*k - 2*k)*(38*k**2 - 9*k**2 - 82*k**2 + (0 + 2*k + 0)*(2*k - 2 + 2)) to s*k**3 + y*k + a*k**2 + w and give s.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3060 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -19*p + 1414. Calculate the remainder when p is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 291386725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a - 10*a + 21*a + 13*a.\nAnswer: 39*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 8006636.\nAnswer: 72059724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -21*r**2 + 29*r. Let x(n) = -146*n**2 + 204*n. Let t(a) = -44*w(a) + 6*x(a). What is the second derivative of t(m) wrt m?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 169*k. Let f(a) = -3*a + 493. What is f(m(b))?\nAnswer: -507*b + 493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-1))\/(-19 + 20). Suppose 4*k - j = 7*k. Which is the closest to -1\/5? (a) -2 (b) -3\/2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1330*j**2 + 14*j + 26. Let k be w(-7). Is 2\/(-12) - (k\/(-12))\/11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3473 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178260018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkew when four letters picked without replacement from {k: 5, w: 4, e: 5}.\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/5)\/((-174)\/(-435)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*1 + 3 - (sqrt(76) + 2 + -1)) + 2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-200)\/160)\/(157 + -160).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(126)\/sqrt(3))\/sqrt(6) + -4.\nAnswer: -4 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-75)\/(-9) - 2\/(-3). Let d = 4 - 8. Let s be 2*((0 - -2) + d)*-1. Solve s*m + z = -7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6911473 to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(77)*-1)\/sqrt(11) + sqrt(567)*-2 + (sqrt(70) - (-1*sqrt(70) - sqrt(70)))\/sqrt(10))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 times 194931\nAnswer: 37036.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 + 4*l**3 - 3*l**2 - 4*l + 4.\nAnswer: -(l - 2)**2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*n + 5)*(-1 + 4 - 1) + 2*n - 2*n - 2*n - 2*n + n + 0*n + 3*n + n - 6*n.\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2395657198 to the power of 1\/2, to the nearest integer?\nAnswer: 48945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x*x*x*x*x*x**(2\/13)))**(1\/3)*(x**(-24\/11)*x)\/(x*(x*x**(19\/5))\/x*x) assuming x is positive.\nAnswer: x**(-16516\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1931 - 901. Suppose 5*k = 2*o - r - 968, 3*k = 5*o - 4957. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 5\/24*q**3 + 0 + 3\/8*q**2 - 5\/24*q**6 - 3\/8*q**5 - 17*q - 5\/24*q**4 - 1\/24*q**7. Suppose a(y) = 0. What is y?\nAnswer: -1, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, 0.4, -33\/7, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -56, 17, -2, -3\/1061.\nAnswer: -56, -8, -4, -2, -3\/1061, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 e when four letters picked without replacement from {c: 4, w: 1, e: 1, g: 1, y: 4, r: 1}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -581, -1191, -1801, -2411?\n\"Answer: -610*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.27 * 0.01188.\nAnswer: 0.0032076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2752 and 939808.\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 8. Let y be m(-6). Let t(w) = 4*w - 3*w**2 + 6 - w**y + 5*w**2. Calculate t(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1315 + 1315.004072. Round q to four dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, u: 1, d: 3, f: 2, p: 1, g: 3}. Give prob of picking 1 p and 1 f.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1205? (a) -0.2 (b) 1 (c) 2.6 (d) 2\/9 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.2493155 months?\nAnswer: 0.0104109625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76337961 and 39352?\nAnswer: 610703688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1285\/15 - (-1)\/3. Suppose -2*m - a + 20 = -m, 2*a = 5*m - y. What is the greatest common divisor of m and 288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drvvvddr. Give prob of sequence rd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 57*k**2 + 67*k - 279. Calculate x(58).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 29.4448182?\nAnswer: 25.4448182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(176) + 5 + 2*sqrt(176) + -4.\nAnswer: 1 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -119 + (15 - (7 + (-2 - 3))) + (10 - 15)\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 15*u**2. Let b(k) = -k**2. Calculate -12*b(x) - p(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -21. Let t be 6\/h - (-10)\/3. Suppose 0 = d + t*c + 1, -4*c - 12 = -0*c. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 6*g + 7*g - 22 + 2*g. Let s be n(13). What are the prime factors of ((-381)\/(-12))\/((s - 2)\/8)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84733552 and 1968?\nAnswer: 254200656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 709 divided by -1\nAnswer: -709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.8 - 102.2. Let j = m - -102. What is the third smallest value in -0.4, j, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20338816501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7195 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - b = -3*v + 7, -4*v + 2*b + 2 = 0. Suppose -3 = j - 7. What is the closest to -1\/2 in v, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4154 and 14899158?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 43*i**2 + 326*i - 37. Let q be s(-10). Factor 0*u + 0*u**2 + 0 - 72\/7*u**q + 24\/7*u**4 - 2\/7*u**5.\nAnswer: -2*u**3*(u - 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220433174*v**3 - 440866350*v**3 + 220433167*v**3.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45652 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5413, 43604, 147411, 349690, 683297, 1181088, 1875919?\nAnswer: 2800646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3862 = 1390. Calculate the common denominator of (m\/(-60))\/(16\/(-10)) and 1\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5218 or 5217?\nAnswer: 5217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 10*r**2 + 2*r - 7. Calculate j(-10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 + (-5)\/10*0. Let q be ((-2)\/(-8))\/(g\/252*-3). Solve 9 = -2*s + r, 3*s = q*r + r - 11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1)*(0 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52132731 rounded to the nearest 100000?\nAnswer: 52100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28*m - 4*m - 29*m - 5*m + 2*m + 4*m - 4*m + 3*m - m + (0*m - m - m)*(2 - 7 + 3) + 4 - 4 + m)*(8*m + m + 1 - 5*m) to f*m**2 + z + u*m and give f.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 + 2*n**3 - 2*n**3 + (5*n + 72 - 72)*(-1 + 1 - 2*n**2) - 3*n + 3*n - n**3 - 46*n - 45*n + 9*n**3 - 1 + 101*n.\nAnswer: -n**3 + 10*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -211. Suppose -2*a = 2*g + 62 + 12, -5*g - 2*a - x = 0. Let z = 171 - g. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-5 - -6 - (4 - -1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 a factor of 327766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 4:39 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*a + 2 + 8 = 0, 5*j = -3*a + 5. Let g be j\/(-13) - 20*(-20)\/104. Solve -5*v - 20 = 3*f, -g*v + f = 2*f + 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -2*l + 3*p - 24, -3*l = 4*p - 10. Let x = -1711 + 1716. Which is greater: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in months?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*(sqrt(68) - (sqrt(68) + 2)) - ((sqrt(68) - (sqrt(68)*2 + sqrt(68) + sqrt(68))) + 5)))**2.\nAnswer: -72*sqrt(17) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121 - -121.00000071. What is f rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-300)\/(-24))\/(2\/4). Suppose a - 2159987 = 4*b, -5*a + 0*a = g. Let v be b - 2\/6*6. Round v to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1667, -1737, -1853, -2015, -2223, -2477, -2777?\n\"Answer: -23*d**2 - d - 1643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.11 or -0.3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25758, -25731, -25676, -25581, -25434, -25223?\n\"Answer: 2*t**3 + 2*t**2 + 7*t - 25769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1443614 micrometers to nanometers.\nAnswer: 144.3614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 7*j + 3*j)*(-134*j + 53*j - 10*j**2 - 30*j) to the form u*j + i + s*j**3 + q*j**2 and give q.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*q + 8*q + 30800 = 364*q + 227*q for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/23 and -5\/3.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxlk when four letters picked without replacement from {l: 3, z: 1, k: 4, x: 3}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*z = 21, -132*s + 134*s = 4*z - 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n**2 - 42*n + 82. Calculate w(-15).\nAnswer: -863","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3849 + -3846. Let y(l) = -l**3 - l**2 + 4*l + 3. Give y(t).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 1 (c) 0.2 (d) -218 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 3*q**2 + 4*q - 3. Suppose -39*p + 100 = -14*p. Determine r(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -390 + 392. Solve 4*m = 5*f - g - 25, 2*m = f - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5238680 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {w: 4, d: 7, a: 3}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8108252 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 34801070 divided by 1823\nAnswer: 19090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m. Solve m = -4*q + 8 - 20 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -795*k**2 + 5772*k - 5743. What is the first derivative of f(m) wrt m?\nAnswer: -1590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17215584*x**3 - 2 + 5366460*x**3 + 2.\nAnswer: -11849124*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 9*i + 3. What are the prime factors of x(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 2*o + 100 = 0. Let y = -1 - -4. Suppose y*n + 47 = 2*h - 2, -2*h - 4*n + 28 = 0. What is the least common multiple of o and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -17*d**3 + 5*d**2 + 2*d + 3. Calculate the remainder when j(-3) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -362? (a) -0.2 (b) 4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6262?\nAnswer: 2, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -35563 and 47.1.\nAnswer: -35515.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16334 and 8.\nAnswer: 16342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktkx when four letters picked without replacement from {t: 1, k: 5, c: 1, x: 1, b: 1}.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**2 + 3*z - 3*z + (z - z**2 - z)*(-2 - 12 - 28).\nAnswer: 45*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -21. Let z = -76 + h. Is 3 a factor of ((-184)\/(-10))\/((-24)\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-850)\/3300 - (-2)\/22.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g + 17 = c - 68, 2*c - 20 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/24*(-120)\/(-54)*(-6)\/16\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 5*s**2 - 11*s - 9. Let g(j) = -j**2 + j + 1. Let p(r) = -2*g(r) - y(r). Is p(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a + 16. Let u(j) = 3*j - 1. Let h be u(-2). Let x be w(h). Is x\/6 + (47 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10102595 - -22002595. What is i rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h + 5*h + 14*h - 2)*(473 + 47*h - 473).\nAnswer: 1363*h**2 - 94*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71.5 - 71.5471. Let p = 12.9529 - j. Is 3 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20871194.13464 and 0.2?\nAnswer: 20871193.93464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 715, 2395, 5049, 8683, 13303?\nAnswer: 18915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 48771*w**3 - 10*w**2 + 35. Let b(g) = -2170309*g**3 + 444*g**2 - 1554. Determine -5*b(a) - 222*o(a).\nAnswer: 24383*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 6*s**2 - 6*s - 2. Let d be n(7). Suppose 80*k - 614 = 1306. Solve 23*m - k*m = d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -24 - (-5 + -1) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 4*d**2 + 13*d - 3. Let o be v(6). Let p be o - ((-4)\/22 + (-1020)\/(-44)). Is (-236)\/(-20) - 4\/p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1900)\/4674*70\/(-3500)\nAnswer: 1\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233 - 240 - (7 + -1 + 2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11480 divided by -280.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8834?\nAnswer: 2, 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1058 (base 10) in base 9?\nAnswer: -1405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n**3 - n**2 - 2*n - 1. Let i be x(-1). Suppose 0 = -3*p + i*o - 6*o + 13, 5*o + 13 = -p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229341649?\nAnswer: 1601, 143249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 12:17 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/35 - (-368)\/40 - 30\/(-3)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q\/(q**18\/q)*q*q*q)*q\/(q*q**(-2\/3))*q assuming q is positive.\nAnswer: q**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*i + 49146, 5*i = 13 - 3. List the prime factors of p.\nAnswer: 2, 12289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -96. Let k = -17 - -31. Calculate the greatest common factor of m and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24339 divided by -3?\nAnswer: 8113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (6 + -7 + 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35528318 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.391 + 1.391. What is the second smallest value in -0.2, -2\/17, 2, z, -1\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, 4.4, 2\/27, 59?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 6:30 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 - 27 = -5*g. Let h = -3 + 46. Let y = h + g. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 79, 299, 733, 1453, 2531, 4039, 6049?\nAnswer: 8633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9 and (282\/9)\/2 - 2\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 4, 12.\nAnswer: -4, 0, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3 + k**3 + k - k**2 + 2*k**2 + k. Let a be c(2). Suppose -a - 1 = -w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99632985?\nAnswer: 3, 5, 157, 42307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324 divided by -36.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25760 and 75440.\nAnswer: 1056160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1485.1272 months to centuries.\nAnswer: 1.237606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215069086 divided by 1739.\nAnswer: -123674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3668 a factor of 10901296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 81. Let p = 36 - o. Which is the third biggest value? (a) 0.1 (b) 2\/13 (c) p (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 4:32 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -473*p**8\/168 - 517*p**4\/24 + p**3\/6 + 5*p**2 - 27. Find the second derivative of t(k) wrt k.\nAnswer: -18920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -2927\/5952?\nAnswer: -2927\/5952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47\/47)\/((-1)\/(-7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 12:10 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 174562204*b.\nAnswer: -2*b*(b - 87281102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 402*f - 794. Let p be v(2). Solve p*g + 32 = -28 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33870 and 19515.\nAnswer: 44064870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(2\/47))\/p)\/p**(-16))\/(((p**(-1\/6)\/p)\/p)\/p**(2\/41)) assuming p is positive.\nAnswer: p**(211099\/11562)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + (-6)\/2*(-24)\/(-18). Suppose -2*b + 11 = -3*t, 5*b + m = 4*t + 13. Let c(x) = x - 1. Let o(f) = 20*f - 5. Let h(q) = t*c(q) + o(q). Give h(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002904 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -425422 (base 9) in base 14?\nAnswer: -68455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 27. Let n = d + -23.00000045. 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: Calculate prob of picking 3 f when three letters picked without replacement from {h: 2, q: 1, f: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2. Let g(j) be the first derivative of -5*j**4\/12 + 3*j - 3. Let s(v) be the first derivative of g(v). Calculate o(s(w)).\nAnswer: -25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -28226 divided by -22\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, r: 2, l: 1, q: 7, x: 6}. What is prob of picking 1 x, 1 r, 1 l, and 1 q?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 166378888 and 1492?\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**4\/4 - m**3\/3 + 83*m - 11. Suppose p = -o + 5, 9 = -5*p + 3*o - 6. Is x(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (816\/340)\/((-9)\/60).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 145639?\nAnswer: -145641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 4*n - 2*n - 4, n = 5*b + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 20*x + 13*x + 20*x + 0*x + 5*x - 3*x + (1 + 1 + 0)*(2 - 2*x - 2))*(-64 - 345 - 55 - 460) to f + p*x and give p.\nAnswer: -10164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/124 - -629\/372. Which is the smallest value? (a) t (b) -1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.942 + -0.058. What is the biggest value in b, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222 + 51 = -39*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3555687 is divided by 44.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-4)\/(4 + 0)). Let k(z) = 6*z - 2*z**2 + f*z + 2*z**2 + z**2 + 5. What is k(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 23 + 45 - 540*z)*(8*z**3 - 2*z**3 + 15*z**3).\nAnswer: -11340*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 2 + 19 + -39\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 320009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**3\/5 + 18*c**2\/5 - 96\/5 = 0. What is c?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let x be ((-50)\/275 - (1 + (-18)\/(-22)))*277\/554. Sort h, x, -5, 44 in decreasing order.\nAnswer: 44, h, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 + 53. Let t(v) = v**3 + 24*v**2 + 23*v - 19. Let u be t(c). Let j = 15 + u. Put j, -1, 1 in increasing order.\nAnswer: j, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p + 2 = 1322. Calculate the greatest common divisor of 65 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2077?\nAnswer: 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011111 (base 2) in base 6?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005285 rounded to 5 decimal places?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/(-9))\/((-1)\/3). Let x = 15 + g. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2397.0875 and -5.\nAnswer: 11985.4375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 118916 and 4519356.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-27) - 40\/(-18). Solve -4*k - 6 = y*t, -4*k - 6*t = -t + 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 294105475 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1048 + 1545. Let k = h - 356. List the prime factors of k.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -108 + 75. Let g = m + 34. Let d be (-33)\/7 - (-4)\/(-14). Sort g, 2, d in ascending order.\nAnswer: d, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/24021 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -52*4\/(16\/(-6)). Let y be (-2)\/(-8) + d\/8. Suppose 5*f - y = 2*x + 4, 3*f + 3*x = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + h = -1, 0*h - h - 25 = -5*k. Suppose -k + 1 = -w. Solve -l = -w*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 1. Suppose 4 = -4*r - 2*t, r - 2*t + 1 = 3*t. Let w(o) = -o**2 - o. Give r*s(f) + 2*w(f).\nAnswer: -f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 42847155*k - 42847160.\nAnswer: 5*(k - 8569432)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.13475356 times 0.1\nAnswer: 0.013475356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 10) in base 6?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(1 - 3 - -2). Suppose -l + 55 + 33 = i. Calculate the greatest common divisor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/(7868\/(-987) + (1 - (-11 - -4)))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**3 + 29*s**2 - 10*s - 6. Let v be u(-10). Let x(a) = -3*a**2 - 10*a - 25. Let k be x(v). Is k > -217\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2527 + 2465. What is the biggest value in v, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 303880 and 8.\nAnswer: 303880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 443383, 886954, 1330525?\n\"Answer: 443571*t - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 537380808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -1202082052 - 397163418. Let c = q + -111524547. What is c rounded to the nearest one million?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(2\/9)*o**(15\/4)*(o**8)**(-4\/21) assuming o is positive.\nAnswer: o**(869\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 23, -0.11, -0.4, 5, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 - 17*b**2 + 18*b**2 + 6*b**2 in the form r + v*b**2 + s*b + w*b**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8400 = -22018*p + 21878*p for p.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - l**3 + 6)*(4 - 1 + 0)*(86 - 12*l - 86) to c*l + b + o*l**3 + q*l**4 + v*l**2 and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**4 - 2*h**3 - 816*h**2*x + 33*h*x - 15 wrt h.\nAnswer: 12*h**2 - 12*h - 1632*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -27270*i + 163615. What is q(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27130 by 29.\nAnswer: 27130\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 105 = -2*g, 84 = y + g + 4*g. What is the smallest common multiple of 27 and y?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134 or -406\/3?\nAnswer: -406\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 9 = -4*o - 3, 2*u = -4*o - 36. Let z(f) = -3*f - 1. Let i(a) = -4*a - 2. Let v(q) = 4*i(q) - 5*z(q). Is v(u) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*q - 17614. Let b = q + -140865\/16. Find the common denominator of b and -137\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n + 50. Suppose 4*i - 60 = 4*l, -i = -5*l - 3*i - 82. Let z be o(l). Solve 3*u = 5*u - z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/7)\/((-1372)\/(-2401))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w - 4. Let i(v) = 1. Let x(y) = 4*i(y) + o(y). Let s(q) = 16*q. Calculate x(s(t)).\nAnswer: -32*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -121101*p**3 + 92202*p**2 wrt p?\nAnswer: -726606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/5 and 12\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 28747, -5, 1, 10 in descending order.\nAnswer: 28747, 10, 5, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 870 = -5*t + 1370, -5*t = 4*k - 2249. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byybyywywwyyyyy. Give prob of picking 2 b.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ayty when four letters picked without replacement from {a: 2, y: 5, t: 4}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113153 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-2 + 3)*-4. Suppose 55 = 3*v + 2*q, 5*v + 4*q = 73 + t. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3 + 3 - 630*d**5 + 356138*d**2 - 356138*d**2 - 964*d wrt d.\nAnswer: -12600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1310 + 1310 - 4*u. Determine k(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 4*a - 2. What is the remainder when m(-4) is divided by (-4)\/(((-25)\/(-20))\/(-5))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(48))*6 + 5)**2.\nAnswer: -48*sqrt(3) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*l - 7. Suppose -5*n = 3*s + s - 61, 2*n - l*s - 29 = 0. Solve u + 5*g = -27, -4*u - n = 4*g + 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 10515.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = -2*h. Let t be 5 + 7\/7 + -2. Suppose 0 = 3*f - 2*a - 78, 13 - h = t*a. What is the greatest common factor of 196 and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31644?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 20*s. Let u(v) = -254*v**2. Determine u(r(x)).\nAnswer: -101600*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -100, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 682*z - 5*t + 135 = 722*z, -4*t - 28 = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 714 and 27.\nAnswer: 6426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 7375.556 to the nearest 100.\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10\/(-3) + 10\/30 - -56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/18 and -137\/234330.\nAnswer: 702990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 16*m**2 - 2306*m - 29441. Calculate x(-13).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-one quarters of a millimeter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 0 + 0*y + 1 - y + y**2. Let f(d) = 2*d - 2. Let b(w) = f(w) + 2*s(w). Let n(l) = 7*l**2 - 16*l**2 + 8*l**2 + 2*l**2. Calculate n(b(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -540 or -539?\nAnswer: -540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 0*w - 1\/15*w**5 - 1\/60*w**6 + 0 + 2*w**3 + 24*w**2 + 5\/12*w**4. Let h(v) = 0. What is v?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - 18 - (3 + -2 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1586360760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 53 = l, 5*l - d + 130 = -3*d. Let f be (-18)\/l*(-8)\/(-12). Let a = 0.1 + 0. What is the closest to a in 1\/2, f, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 + 8*z**2 + z**2 - 2*z**2 to the form o + d*z**2 + t*z and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b - 33. Give z(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8. Let a(j) = 4*j + 344. Calculate -a(w) + 7*z(w).\nAnswer: -4*w - 288","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 65*i**7\/42 + i**5\/10 + 44*i**4\/3 - 239*i. Find the third derivative of f(j) wrt j.\nAnswer: 3900*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-975)\/(-3250))\/(((-1)\/(-6))\/((66\/45)\/(-22))).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20488495?\nAnswer: 5, 4097699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 6 - -1*2. Suppose -5*w = 3*h + 5, 8*h - w = 3*h + j. Let u = -1 - h. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 20 = 14*b. Solve -b*r + 4 = -8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.04265523\nAnswer: -0.21327615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.5 + -13.5. Let u = s + 41. Let h = u + -34. Which is the smallest value? (a) h (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -924 - -921. Let u(z) = z + 8. Let v be u(-4). Suppose -13 = -3*h - v. Put 4, 1, h, g in ascending order.\nAnswer: g, 1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367 = i + 98. Suppose 0 = 5*d - 3*w - i, 2*w + 104 = 2*d - w. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4645 + -4625. Solve 3 - 43 = p*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184376076 is divided by 1617334?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 13*y + 12 = 4*o, 0 = 4*y + 5*o - 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2287676 is divided by 1093.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-u - 3 + 3)*(0 + 2*u + 0) + 5*u**2 - 3*u**2 - 3*u**2)*(-31*u - 39*u + 8*u) to r*u + f + c*u**2 + b*u**3 and give b.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 16 - 8. Is -8 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 172515.3 nanoseconds?\nAnswer: 0.000002875255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/180*9)\/(3\/3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q**2 - 11*q + 8. Let z be s(4). Let r = z - 71. Suppose -r*u - 70 = -5*w, -3*w = -11*u + 6*u - 52. Solve -2*y + 1 = w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 624 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 27. Find the third derivative of -5*f**3 + 3*f**3 - p*f**2 - 4*f**3 + 2*f**3 wrt f.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.2 + 7. Let x = 3.3 + p. Is x at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.968 and -1.\nAnswer: -0.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(162)) + (1*sqrt(56))\/sqrt(7))**2.\nAnswer: 624*sqrt(2) + 5444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 75, -15, -231, -627, -1257, -2175, -3435?\n\"Answer: -9*p**3 - 9*p**2 + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -134242?\nAnswer: 134244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9023\/8 - -2263\/2. Find the common denominator of i and -71\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 626\/13 - (((-85860)\/(-7579))\/(-54) - 24\/(-66))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3650.011mg to nanograms.\nAnswer: 3650011000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -887.86 + 873. Let j = -14.859998074 - x. Round j to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -548*k**2 - 444*k**2 + 349*k**2. Let b(j) = 3*j. What is m(b(d))?\nAnswer: -5787*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Express (-h + 0*h + 2*h)*(-1 - 1 + 5)*(-3*h**2 + h**2 + h**2)*(85*h + 43*h - 212*h) as u*h**4 + p*h**3 + y*h**2 + z + s*h and give u.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68 times -0.2?\nAnswer: -0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 603610.5um to meters.\nAnswer: 0.6036105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3280 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 482*o**2 + 1319*o + 56544. Determine f(479).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46625 or -326376\/7?\nAnswer: -326376\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2933*b**2*m - 4*b**2 - 68*b*m + 189*m wrt b.\nAnswer: -5866*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -16. Let j be ((-6)\/5)\/((-3)\/220) + n. Suppose -3*y + j + 181 = 0. What are the prime factors of y?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdhhhbdbqm. What is prob of picking 2 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*f**3 - 14*f + f**2 + 14*f + 71*f**3 + 1212 + 76*f**3.\nAnswer: -2*f**3 + f**2 + 1212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-45465)\/(-6))\/(-7)*8\/(-10). Suppose a*o + 2358 = 872*o. Is 38 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 10:30 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 448 (base 9) to base 13.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2. Suppose 2*g = -4*p + 28, -6*g = -3*g + 5*p - 38. Let h(w) = -g*w + w**2 + 6*w. Calculate h(t(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 - 74.72. Let q = -1.5 + 1.39. Let y = i + q. Round y to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c. Let v(t) = -37*t + 15. Let s(x) = -30*x + 16. Let u(n) = 3*s(n) - 2*v(n). What is d(u(b))?\nAnswer: 16*b - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 13 - 4*l - 8*l.\nAnswer: -12*l - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -9. Let j(a) = -3*a**3 + 11 - 5 + 2*a**z + 5*a - a**2 + 2*a. List the prime factors of j(-4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 - -633. Let i = g + -719.89. Sort 0.18, i, -0.5, -0.2 in ascending order.\nAnswer: -0.5, -0.2, i, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.0683 + 22403.80474.\nAnswer: 22410.87304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*p + 2016 = -3*p - 4*x, -5*x = 2*p - 4*x + 28 + 16 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 - 1 + r**4 + 4*r + 8*r**2 - 4*r - 2 to x*r**2 + k + l*r**4 + o*r + z*r**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 340 = 11*v. Let z = v + -65. Let s(x) = 2*x**2 - x. Calculate s(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8.694 and 0.0320337105.\nAnswer: -8.6619662895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**6\/36 - 7*h**5\/120 + 8*h**3\/3 + 8. Let s(t) be the third derivative of i(t). Find the second derivative of s(l) wrt l.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0202, 0.21, 510 in decreasing order.\nAnswer: 510, 0.21, -0.0202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12085*g + 12444 = 12136*g. What is the remainder when 1103 is divided by g?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a675365 (base 11) to base 10\nAnswer: -18791492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -169972\nAnswer: -3\/169972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 401*b - 5. Let q be z(5). Let c = -19893\/10 + q. What is the common denominator of 9\/32 and c?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = d, 16 = -4*d - 4*k + 40. Suppose -5*g + 32 = d*u - 2*u, -2*g = 2*u - 16. Let m be g\/10 - (-14)\/10. Solve -5*n - m + 12 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32440 (base 5) to base 4\nAnswer: 203011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 108\/5885 = 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 1\/60*w**4 + 0*w**3 - 1\/150*w**6 + 0*w**7 + 1\/840*w**8 + 0 + 0*w**5 + 0*w - 3*w**2. Factor v(u).\nAnswer: 2*u*(u - 1)**2*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -391840.36 to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -15*a**4 - 24357*a**3\/2 + 485718*a**2 - 48450*a = 0?\nAnswer: -850, 0, 1\/10, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*v**4 + 4*v wrt v?\nAnswer: 432*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 8*a**2 + 9*a - 1. Suppose -5*n + 0*n + 35 = 0. Let i be c(n). Solve 0 = 5*t - r + i, 14 = 4*t - 6*t - 4*r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7*m - 8. Let o be g(5). Let w be 5 + -1 - o\/9. Which is greater: w or -4\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1320 and 63\/80?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5.002958 days?\nAnswer: 432255571200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5281*r**3\/3 + 10561*r**2\/3 - 5279*r\/3 - 1\/3 = 0. Calculate r.\nAnswer: -1\/5281, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6963560 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58614009?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + z = -21, 4*w + 5*z - 328 = -300. Solve -46*i = w*i - 371 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 35762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42 - 3?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 165259 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22313*i + 22219*i - 10340 = 0 for i.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14780 is divided by 912?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 11) to base 9\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, b: 2, l: 1, j: 3}. What is prob of picking 1 b, 1 p, and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552204.\nAnswer: 2, 3, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*z - 2*v + 147, -3*v = 3*z - 99. Let f(x) = -11*x - 18. Let c be f(-1). Let u be (-33)\/c + 4\/14. Sort -2, u, z in descending order.\nAnswer: z, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17444 divided by 8722.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1659 = 3*k, -k + 4*k + 2*h = 1654. Calculate the smallest common multiple of 1918 and k.\nAnswer: 3836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u - 35. Let f be ((-14)\/(-6))\/((-2)\/(-6)). Let v = f - 5. Solve 3*z - v*l = -u, 11 = -4*z - l + 4*l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 5. Suppose -5*d + 10 = 0, f = 3*d + 2*d - h. Calculate the highest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/26 - (0 + 1\/13). Suppose 2*q = 5*i + 26, -i - 5 = -q + 5. Suppose 3*x - 7 = q. Solve -a + x = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from glgttgtltlgttlg. What is prob of sequence tgtg?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -41632806?\nAnswer: 291429642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -58\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33)\/(-5) - (-2)\/5. Suppose -2 = x + l, -2*x - v = 6*l - l. What is the tens digit of ((-10)\/(-25))\/(x\/(-130))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of (-70)\/20*-98*(-6)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*r + 18*r**3 - 21*r - 21*r - 21*r.\nAnswer: 18*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 142 - 114. What is the nearest to n in -15\/8, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 144969*j**2*t**3*u + 6127*j**2*t**3 - 1963*j**2*t - 48*t**3*u**2 with respect to u.\nAnswer: 144969*j**2*t**3 - 96*t**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/105 and 2\/19365.\nAnswer: 135555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*n + 12*n**2 - 24*n + 2*n**4 - 2*n**3 - 24*n to b*n + r + y*n**4 + q*n**2 + w*n**3 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + n + 6 = -1, -2*d = 4*n - 22. What is the lowest common multiple of d and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1043602 (base 9) to base 5.\nAnswer: 120412420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061580 divided by -13?\nAnswer: -81660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-525)\/9))\/((-20)\/(-50))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10126, 40678, 91652, 163042, 254842, 367046, 499648?\n\"Answer: -o**3 + 10217*o**2 - 92*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 10) to base 11\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 12. Solve -4*k = -z + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9145, 9224, 9357, 9544, 9785, 10080, 10429?\nAnswer: 10832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/42 and -85\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 297*s + 296*s - 4 = 0, 0 = -2*w - 2*s - 32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - sqrt(66)*-2*2)\/(sqrt(3) - (sqrt(12) + 1*sqrt(12))\/sqrt(4)))\/(-2*-1*sqrt(1584)*3).\nAnswer: -5*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25103974, 25103980, 25103988, 25103998?\nAnswer: 25104010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*z = 6, 5*k + 2*z = -0*z + 63. Solve -3*w + k = 2*u, 11 = -2*w - 4*u + 29 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119025096.\nAnswer: 2, 3, 4959379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -2, -17, -50, -107, -194, -317?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294657138.\nAnswer: 2, 3, 83, 167, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*t + 6, 0 = t - 5*p - 2 - 8. Suppose 3*a - 159 + 15 = t. Calculate the greatest common factor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 12, l: 5, t: 2}. Give prob of sequence llll.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 k, and 2 h when four letters picked without replacement from hhhpkkmhhhkmkmmkmm?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 17 times 31.826\nAnswer: 541.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(245)*2 + sqrt(245) + (sqrt(245) + -4 + sqrt(245))**2 + 5 + sqrt(245).\nAnswer: -70*sqrt(5) + 1001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 2. Suppose 5*b = 2*p - 4*p - 48, 4*b + 2 = p. Let z be 4\/p + (-4)\/(-14). Sort -2, c, z.\nAnswer: -2, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2.5. Let p = -150.7959 - -151.2959058. Let b = f + p. What is b rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61.309 - -61.421842. Round o to three dps.\nAnswer: 0.113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/4)*(((d*(d*(d\/d**15*d)\/d)\/d)\/d)\/d)\/d assuming d is positive.\nAnswer: d**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -45602401075612969*j**2\/4 + 213547187*j - 1 = 0.\nAnswer: 2\/213547187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31, -0.4, 2\/19?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -62116.\nAnswer: 5\/62116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m. Let o(l) = -23 - 95 + 118 + 46*l. Give z(o(y)).\nAnswer: -230*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -16*c**3 + c**2 - c - 1. Suppose -17 = 8*a - 9. Calculate q(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 22. Let h be -4 - -5 - (1 + -1). Let j(v) = 2 - 5 + 0 + h. Let z be 9\/(-6) + 1\/(-2). Calculate z*a(d) - 22*j(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32229683 divided by 4.\nAnswer: -32229683\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 0 + t - 1\/3*t**3 + 1\/15*t**4 + 2\/5*t**2. Factor j(q).\nAnswer: 2*(q - 2)*(2*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3676237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/21)\/((-2921)\/889 - -11)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 13*x + 12. Let w be c(12). Solve -2*p - p - 12 = w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (1 - -7) - -9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 772 a factor of 16674283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyylytllyyqylllly. What is prob of picking 1 t and 3 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 280\/(-300)*(-30)\/(-35)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, -2, -5\/4, 18, 189?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -4, 22, -3 in increasing order.\nAnswer: -4, -3, 2, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**2 - 7*j + 26 - 28 + 0*j)*((0*j + 5*j - 4*j)*(-2 - 2 + 5) + 0*j + 3*j - j) as q*j + x + h*j**3 + n*j**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18 - -22)\/(2\/(-36)). Let g = m - -57. Let p be (-10)\/g*(-60)\/(-8). Solve 5*d + 5 = -v, 0 = d + 4*d + 2*v + p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 40 = -5*i, -31*i + 27*i = -32. Let l(k) be the second derivative of -16\/9*k**3 + z - 1\/12*k**4 + 11\/6*k**2 - 14*k. Find d, given that l(d) = 0.\nAnswer: -11, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 67*n**3 - n**2 + n - 1. Let a be t(1). Let f = a - 33. Calculate the remainder when 63 is divided by f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 4*i**2 - 3*i - 7. Let t be w(5). Determine d so that 5*d**3 - 4*d**2 - d**4 - 4 - d**t + 4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4024*v = 4019*v + 4*l + 16, -6*l = -v - 2*l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 - 6 - 2 - x + 5*x**3 - 13*x**3.\nAnswer: -2*x**3 - x - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49790 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10828 + 12892 = -1186*x for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20628515, -41257034, -61885555, -82514078?\n\"Answer: -b**2 - 20628516*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*i - 9001, 4*a - 5*i - 47023 = -10935. What are the prime factors of a?\nAnswer: 71, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 17. Let u = h + 6. Factor -1 + 3*r**2 - u*r**2 - 4*r - 1 + 0*r.\nAnswer: -2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.46688 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 16 = 17*y. Let h be y\/(-4) - (-13 + 2). Let o be 176\/10 + (-2)\/(-5). Calculate the highest common divisor of o and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 352.20554572 - 0.088.\nAnswer: 352.11754572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 25*u - 31. Let f be w(10). Let v be (1\/4)\/(f\/(-44) - -5). Solve -2*s + 3*c = -17 - 2, 4*s = -3*c + v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12304054.\nAnswer: 2, 7, 37, 23753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 207*g + 1584. Calculate v(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1445 and 89\/6.\nAnswer: 8670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(1\/(-17) - 0). Suppose -a = -4*m - b, b - 22 = -3*m - 2*m. Suppose m*i = -20, -4*o = -i - i - 724. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from ccwcccwccwcccc.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72419 - g**2 + 4*g + 7920*g**3 + 2*g**2 - 74693 - 4*g wrt g.\nAnswer: 47520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -3, 13, -28, 0 in increasing order.\nAnswer: -34, -28, -3, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/((-364)\/(-512)) + 26\/169. Solve -2 = 2*u + f, 0 = u - f + 8 - y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 8. Suppose -4*f = -3*u - 4, 4*u = 3*u + 3*f - 3. Give z(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - c - 187 = 0, -7*c - 86 = -s - 8*c. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*j - 9, 0*j = o + 4*j - 3. Suppose -11*k + 12*k = 35. Suppose -5*n + 5*m + k = 0, 4*m = -n + 3*m + 3. Sort 2, n, o in descending order.\nAnswer: n, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*(sqrt(272) + 1)**2 - (2 + (-5 + (sqrt(17)*-1 - sqrt(17)) - (sqrt(17) + 1 + 0))).\nAnswer: -1360 - 37*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3363 - 3341. Calculate the remainder when 589 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8074 - -8074.4. What is the third smallest value in 2\/3, p, 4.7?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1451*w + 1375*w - 3146*w to the form d*w + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5551 - -5558. Calculate the least common multiple of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*(2 + sqrt(2736))*5)**2.\nAnswer: 4320*sqrt(19) + 273924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 100447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/(-8) + 27\/36. Suppose -12 = i*d - 4. Let w = 2 - d. Calculate the remainder when 9 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -16, -2, -4 in descending order.\nAnswer: 6, -2, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*-4 + -4*sqrt(343))**2 + (-3*-3*sqrt(84) + sqrt(84))\/(sqrt(12) - sqrt(48)*2).\nAnswer: -10*sqrt(7)\/3 + 13552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/15*(-910)\/28. Suppose 0 = 3*x - x - 8. Suppose -x*i + 2 = -2. Solve 5*l + i = y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40974528 divided by -7?\nAnswer: 5853504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -3*s**4\/4 - s**3\/3 - s**2 + 2*s - 630. Let t(a) = 7*a**3 + 2*a**2 + 5*a - 5. Give -9*c(m) - 4*t(m).\nAnswer: -m**3 + m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69.77 + -71.77. Which is the nearest to 1? (a) -3 (b) l (c) 0.06 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**3\/6 + 5773*q**2\/6 - 1428636*q + 114584760 = 0.\nAnswer: 85, 2844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n, 0 = -5*c + c - 4*n - 8. Let t be ((-1 - 4) + 2)*-4. Suppose t = 2*i + i. Is i bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24597418\/4735 - 25974\/5. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 5) to base 11\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -0.69. Let y = w - -0.49. Let r = 0.073 + -0.473. Which is the smallest value? (a) -0.2 (b) y (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 405, 8, -1 in decreasing order.\nAnswer: 405, 8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/3 + 796\/12. Calculate the highest common factor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 266, 268, 270, 272?\n\"Answer: 2*i + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/29 + -441\/58. What is the nearest to -1 in 4, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1080 divided by 18.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4790.\nAnswer: 2, 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + (1 + sqrt(700) + -4)*4 + (sqrt(700) - (2 + sqrt(700)))*-2*-5))**2.\nAnswer: -10240*sqrt(7) + 48896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*g + 37*g + 49 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-2)*2\/(-4). Find the third derivative of -3*y**3 + 3*y**3 + 5*y**4 - g*y**4 + y**2 wrt y.\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.57.\nAnswer: -1.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -522*g - 355. Let v(l) = -196*l - 118. Let u(m) = 8*v(m) - 3*z(m). Let x(i) be the third derivative of -i**5\/60 - 9*i**2. Give x(u(k)).\nAnswer: -4*k**2 + 484*k - 14641","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21523 minus 37?\nAnswer: -37.21523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/q)**(-4\/25) assuming q is positive.\nAnswer: q**(-4\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 13. Let b be y(-9). Let m = 1 + b. Suppose 2 + 8 = m*f. Solve k = 5 - f, 0 = -w - 4*k + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 + 2 = 0. Suppose -a*v + v = -530. Round v to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 110*y - 106*y + 4, -4*y + 2 = 2*s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*s**3 - 54*s**3 - 50*s**3 + 159*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 11*t**2 + 18*t - 19. Let b be p(1). Solve 5*d + 3*h = -1 + b, -5*d - 5*h = -15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 7:05 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -2 (b) 1 (c) 1\/4 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.22 + 0.02. Let y = 0.1 - c. Let o = -2 + 1.7. Put y, 2\/5, o in descending order.\nAnswer: 2\/5, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4.8, -0.8, 7, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r + 25 = 15*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6491 > -1914423\/295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -4, 250, 9 in descending order.\nAnswer: 250, 9, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 5*q**2 + 3*q - 14. Is 7 a factor of o(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-19 + 31 - (27 - 0))) + (-33 - 0).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2\/2 + 30008*b - 5108585\/2 = 0. Calculate b.\nAnswer: -60101, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 2. Let f be 1*-1*1*5. Suppose -2*y = 2*q + 30, -7*y - 13 = 4*q + 65. Put f, q, u in descending order.\nAnswer: u, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/10473925 and 24\/12378275.\nAnswer: 136161025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Let x = -42 - -37. Let r be 1 + 4 + 5 + -7. Which is the smallest value? (a) q (b) r (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/(1\/38) - -1. Suppose -p*x + 22*x = 4. Solve -4*s + 3*b = b + 2, 0 = -5*s + 4*b + x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*f = 117622 - 112958 for f.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 696999393 to the power of 1\/3, to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35966 + -35882. Which is greater: n or -0.007?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-4 + -13 - -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15979, -15961, -15929, -15877, -15799?\n\"Answer: r**3 + r**2 + 8*r - 15989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 - -63. Let m(d) = -d**3 - 92*d + 176*d - 88*d - j + 6*d**2. Determine m(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 f, and 2 s when four letters picked without replacement from {i: 1, f: 8, s: 8}?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lljjjjjjjj. Give prob of picking 2 l.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3*j + 1965, -651 = -4*v + 2*j + 1957. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02292 + -0.17708. Which is the second smallest value? (a) -2\/3 (b) 1\/4 (c) v (d) 4 (e) -3\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3619 is divided by 428?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13.94 and -0.43.\nAnswer: 5.9942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/219?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 14 = -2*b, -96*b + 101*b - z - 19 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1347620 by 6.\nAnswer: -673810\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f - 63. Let t be o(7). Let i(l) = -2115*l**3 - 17*l**2 + 18*l + 24. Let z be i(t). What is z rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)*n)**(6\/17)\/(n**(2\/23)*(n\/n**(-7)*n)\/n)*(n\/(n**2\/n))**35\/(n**7*(n\/(n*n**(-1)\/n))\/n*n) assuming n is positive.\nAnswer: n**(-45525\/2737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39 times -0.28873?\nAnswer: -0.1126047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 707 by -10521.\nAnswer: -101\/1503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -7. Which is the nearest to q? (a) -4 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 365288 and 25256.\nAnswer: 14976808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = w - 65 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**4\/24 - 15*z**2\/2 - 6. Let s(h) be the second derivative of n(h). Let v(g) = 5*g**2. Determine s(v(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.85881 months in millennia?\nAnswer: 0.0028215675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.024212 to three dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 119542?\nAnswer: 1\/59771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*z - 3. Suppose -b + z = -2. Suppose -b*k = -10 - 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 5:54 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89 - -91. Suppose 2*f = -y*k + 2, -2*k = 4*f + 2 - 14. What is the remainder when 29 is divided by 6\/(-33) - k*356\/88?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 + -230322?\nAnswer: -230430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15838 (base 12) in base 9?\nAnswer: 45838","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4 + 6. Let g(w) = -w**2 + 7*w - 6. Let d be g(l). Let 4*i**2 - i**d - 2*i**2 - i**4 = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 7:51 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k*m**3 + k*m**2 - k + 2562*m**3 - 2*m**2 - 115*m wrt m?\nAnswer: 6*k + 15372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6473\/3 - 2157. Let c = 0.014 + 25.986. Which is bigger: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + (-3 - (-11 - -13)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*k + 52*k + 16*k**3 - 24*k wrt k.\nAnswer: 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -259*b**3*h**3*r + 290*b**3*h**2 + b**3*r + b*h*r wrt h?\nAnswer: -1554*b**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 430823627*d*y**2 + 285292676*d*y + d wrt y.\nAnswer: 861647254*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-3))\/(30\/(-135)). Suppose -2*z - 66 = -x, 4*x - 4*z = -x + 312. What is the greatest common factor of x and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 30 = 3*x, 2*n + 2*x + 33 - 27 = 0. Let z(p) = -2*p**3 + 5*p**2 - 2*p + 7. Calculate z(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2274*z = -2273*z + 19 - 145. What is the greatest common divisor of z and 742?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukck when four letters picked without replacement from kmumkc?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**5\/20 - p**4\/3 + p**3\/3 - 3*p**2 - 5*p. Calculate h(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -565*m**2 - 550*m + 15 = 0.\nAnswer: -1, 3\/113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -277743, -277738, -277733, -277728, -277723, -277718?\n\"Answer: 5*p - 277748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 208*t**2.\nAnswer: 4*t**2*(t + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + f + 344 = 0, -c - 5*f = c - 235. What are the prime factors of c?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 16 + -6 + 9 + -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 884 - 1764 + 3*m + 880.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1632 is divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueehhhehthetelthleu. Give prob of picking 1 e, 1 h, and 1 t.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*(l*l\/l**(9\/2))\/l)\/l)**(-47) assuming l is positive.\nAnswer: l**(235\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 432\/672*(-8)\/6\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59242292 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xlxlllllxxxxxlxxll?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413579611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 620231533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*4*((sqrt(132) + (sqrt(132) + -1*sqrt(132))*-6)\/(sqrt(48)*-1))**2 + 5).\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/21237 and 151\/8142.\nAnswer: 57637218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5430780181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 16 + 2 + 16 - -15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17771 (base 15) in base 4?\nAnswer: 102202123","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: 60 divided by 5414\nAnswer: 30\/2707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 77 = -3*u + 160, 4*g - 304 = 2*u. Calculate the greatest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(5\/2)\/y)**(19\/4))**(-2\/17) assuming y is positive.\nAnswer: y**(-57\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 9:50 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21732936 and 306.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 < -148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r**2 + 3*r**2 + 116*r**4 - 10376*r**3 + 10375*r**3 to the form n*r**3 + j*r + v*r**4 + t + a*r**2 and give v.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 84\/8330*7*15\/9\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3308, -6614, -9920, -13226?\nAnswer: -16532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 - 11*k**2 - 7*k + 11. List the prime factors of g(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 10*x - 3*x + 17*x - 6. Is 24 a factor of u(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001101 - -110110?\nAnswer: 111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 611 - 320 - 307 - 3*l.\nAnswer: -3*l - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -13\/20 and -28 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.786, 2\/15, -19, 3, -11, -3?\nAnswer: 0.786","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -17*q + 1. Let z be v(-1). Let h be 13\/3 - z\/(-27). Solve -h*b - l - 2*l = 3, 5*b + 5*l = 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 9 + -16 + -21.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v**3 + 3*v**3 - 4*v**3 + (-2 + 5 - 2)*(-4*v**3 + 22*v - 22*v))*(-24*v - 42*v - 25*v) to k*v**4 + z*v**3 + j*v + g*v**2 + t and give k.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83 and 10624?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860132 < 23.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10.1 in -8, -26\/3, -1\/8, -9.1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 5. Let a be 9*(-2)\/4*(-6)\/(-9). Let n(d) = 2*d + 14. Give a*n(h) + 8*x(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30294, -30292, -30290, -30288, -30286?\n\"Answer: 2*n - 30296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(832) + -3 - (sqrt(832) + (3 + sqrt(832)*-1 - sqrt(832))))**2.\nAnswer: -3409 + 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008526 to four dps.\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 38.6 - 13050\nAnswer: -13011.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 784192 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + 63. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720130148 to the power of 1\/2, to the nearest integer?\nAnswer: 41474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 147605818?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27681889?\nAnswer: 479, 57791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 103*p**2 + 60*p. Let j(o) = 311*o**2 + 180*o. Let d(f) = 17*a(f) - 6*j(f). Find the second derivative of d(i) wrt i.\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 8*u**2 - 7*u + 4. What is w(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 greater than or equal to 373\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(1\/(-6)*-3). Suppose m*x - x = 2. Suppose -3*d = -4*f - 6, -x*f = d + 4 + 4. What is the closest to 1 in -5, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - y - 2*y - 23*y + 2*y**3 - 6*y.\nAnswer: 2*y**3 - 28*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4499 + 459 = -8*b. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.71234mg?\nAnswer: 0.00000071234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.4 - -1.4. Let o = -18466.951 - -18457. Let d = o - r. Round d to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 10:47 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u + 32820*u**5 - u**2 - 32821*u**5 - 68 + 3*u**3 + 422*u**4 - 84 + u**2 wrt u.\nAnswer: -20*u**3 + 5064*u**2 + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*n - 5*n. Suppose n*j + j = -4*k - 16, -j + 2*k + 5 = 0. Let i(o) = -3*o**2 + o + 2. Let m be i(j). Is -2 != m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**3 + 21*k**2 - 4*k**4 - 3*k**4 + 3*k - 34 + 3*k**3 + 16 + 20 to l*k**2 + c*k**3 + r*k**4 + t*k + f and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000254793 rounded to 6 dps?\nAnswer: -0.000255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44961, -44952, -44943, -44934, -44925, -44916?\nAnswer: -44907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 511392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 59 + 1 + 2\/1. Suppose 3*u - j = u. Let y = 1823 - 1815. Calculate the remainder when u is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 4233029?\nAnswer: -4233029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 28*u - 17. Let g be z(-27). Solve 4*t = -t - g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12\/191?\nAnswer: -12\/191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 95. What is s(16)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 7. Suppose h = -j*h - 5. Let p(g) = 3*g. Let v be p(h). Which is bigger: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2299 and 1292.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 - 9*f + 8. Give r(5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 34 + 904 = 0. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*y**2 + 6 + 54*y**2 + 3 in the form z + w*y + t*y**2 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39687 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 12. Let z be (11 - c) + 2 + -1. Let d = 16 + z. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*l**2 - 36*l**2 + 114*l**2 to r + p*l**2 + i*l and give p.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/8 (b) -5 (c) 2\/17 (d) 27 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2260*m - 1911*m = 15356 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 6*b = -4. Suppose 2*w = -2*k + b*k - 6, 0 = 5*k + w - 9. Let 3\/7*v + 2\/7*v**k + 1\/7 = 0. What is v?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**2 + 15. Let b(n) = 3*n**2. Let a(m) = -7*m**2. Let c(r) = 2*a(r) + 5*b(r). What is d(c(j))?\nAnswer: -4*j**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 + (-39 - -21) - -56) + 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27343 is divided by 294?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + g**4 - 4*g**4 - 311*g**2 + 1 - 2 + 313*g**2 + 11*g**3 as u + w*g**4 + a*g**3 + d*g + m*g**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: What is -4 - -2 - 11\/((-66)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506 + 2806 = 16*h. Calculate the highest common factor of h and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -0.4, -8 in decreasing order.\nAnswer: 2\/19, -0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 24*y**2 - 69675*y\/4 - 7623\/2 = 0?\nAnswer: -7\/32, 726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4*i)\/i**(-2\/23)*(i\/(i*i**4)*i*i)**(11\/2) assuming i is positive.\nAnswer: i**(-136\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 + 33*f**2 - 16*f + 9. Let s be r(16). Which is the smallest value? (a) s (b) 8 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 8. Let c = h + 3.86. Let g = -0.06 + c. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + 3*u**5 + 2*u**3 + 5*u**2 + 2*u**5 - 5*u**2 + (5*u**4 - 3*u**4 + 0*u**4)*(6*u - 4*u - u) + 3*u**5 + 3*u**5 + 10*u**5 + 6*u**5 - 3*u**5 + 7*u**5.\nAnswer: 33*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**5\/60 - 29*k**4\/24 + 5*k**3 + 6*k**2 + 28. Suppose o(r) = 0. What is r?\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.999943 - 12. Round x to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*r**2 - 46*r**2 + 96*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2. Let t(b) = 2*b + 15. Let p be t(-6). Suppose g = -4*h - 6, -3*h - 10 = p*g - 5*g. Let m(j) = -5 + 3 + g + 6*j. Calculate r(m(x)).\nAnswer: 108*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1196015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-2)\/(0 - -8)*(-4)\/9. Is 590 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594763313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**(2\/19) assuming c is positive.\nAnswer: c**(4\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 24. Which is greater: i or -0.21?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-3 - 2 - 2) + -209 + 157)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -356, 5\/14, -0.3, -3.78 in decreasing order.\nAnswer: 5\/14, -0.3, -3.78, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -41*l**3 + 126 - l**2 + 3*l - 44*l**3 + 84*l**3. Let s be c(0). Calculate the highest common divisor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1194 and 2803114?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -468 by -117.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + v + 4604, 2*v - 9212 = -4*m + 5*v. What is m rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9414, 18822, 28230?\nAnswer: 37638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 0, 4, -4 in decreasing order.\nAnswer: 27, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5301224.\nAnswer: 2, 23, 47, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 1. What is l rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*z**2 + 17*a**2*z + a**2 + 2141*a*z**2 - 16811*a*z - 283*z**2 + 2*z wrt z.\nAnswer: -4*a**2 + 4282*a - 566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2*2\/4)\/(4\/(-8)). Solve u = -j*o + 7, 2*o - 3 = 3*u - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-1)*((-25025)\/75)\/(-91)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, 1\/3, 1, 0.8 in increasing order.\nAnswer: 0.09, 1\/3, 0.8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41677 + -27535. What are the prime factors of o?\nAnswer: 2, 3, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 111*t = -770 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1030 is divided by 178?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1500 and 6764?\nAnswer: 2536500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/1646 and 19\/273782472.\nAnswer: 273782472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/18 and 35\/276.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (122 - 148) + -7 + 2.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.762 in 0.046, -2, 2, 1\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**2. Let y(v) = 300120*v. Calculate y(z(m)).\nAnswer: -1200480*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by 276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23990717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/5 + s**3\/5 + 162*s**2\/5 + 144*s = 0.\nAnswer: -8, -6, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/(-3))\/((-120)\/18 - -7). Suppose -p = -x - 102. Is (-94)\/(4 + x\/20) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 8*f**2 - 8*f - 6. Let s be x(6). Let r = s - 30. Let v = r - -29. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1.1, -0.2, -1\/13, -17 in decreasing order.\nAnswer: 0.3, -1\/13, -0.2, -1.1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2843695 is divided by 236972?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**8\/40320 - k**7\/5040 + k**6\/1440 + k**5\/60 + 3*k**2. Let r(i) be the third derivative of b(i). Let r(d) = 0. What is d?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1221 and 666.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 24, 39, 54, 69, 84?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1179862593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, g: 1}. What is prob of picking 1 q and 1 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -37*t - 33*t + 7*t**2 + 49 + 62*t. Is c(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2449 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 8:58 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 4 = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, g: 3, u: 1, a: 1, c: 1}. What is prob of sequence rcu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjbz when four letters picked without replacement from bzsja.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -15*u**2 - 2. Let j(t) = -871*t**2 - 117. What is 117*d(h) - 2*j(h)?\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0046117123 to 5 decimal places.\nAnswer: 0.00461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/7, 60, 223034.\nAnswer: -4, 1\/7, 60, 223034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - 50*v**2 - 55 + 134*v**2 + 27 + 219*v**2 + 5*v to c*v + z*v**2 + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 527718761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 - -54.5\nAnswer: 54.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/41 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.94 - 1. Let d be ((-6)\/(-8))\/(((-252)\/8)\/(-7)). Let o = -98\/3 + 487\/15. Sort d, c, o.\nAnswer: o, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 146599990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*x = 119*x + 4*m + 216719, 2*x = -3*m + 86706. List the prime factors of x.\nAnswer: 3, 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 + 4*s**2 - 6*s + 13. Is u(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -2)*(0 + 1\/(-2)). Let i be 12 + q - (15 + -17). Which is smaller: i or 16?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-30)*a**(-3\/23) assuming a is positive.\nAnswer: a**(-693\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.076 or -28\/47?\nAnswer: -28\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/9 + 1)*27. Suppose 0*a - 9 = -a. What is the greatest common factor of a and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17024394 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5855567?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuggguuuggguuuggugu. What is prob of sequence gu?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*(sqrt(245) - sqrt(5)) + (sqrt(5) - sqrt(55)\/sqrt(539)) - (-2 + sqrt(30)\/sqrt(6) - (sqrt(720) + -1 + sqrt(720)))**2).\nAnswer: 1578*sqrt(5)\/7 + 7938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*a**4*i - 4*a**2*i**3 - a*i**2 - 23*i**3 wrt a.\nAnswer: -96*a**2*i - 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 - 28*i + 20. What is r(-15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4228*u**2 - 44*u - 31.\nAnswer: -8456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3) + 1092\/18. Suppose -16*a + s = -3. Solve 2*d = -a*j - 10, 3*j - 4*d + 5*d = -7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 13*o = -985. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 1.4 (b) 4 (c) 0.5 (d) -2.495 (e) -0.5 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*((1*sqrt(1100) - (0 + sqrt(44)))**2 - (-2*sqrt(88))\/sqrt(2)) + 3.\nAnswer: 48*sqrt(11) + 8451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*a = -190*a - 16266. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 48 + -17 + -17?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 17*l - 68. Determine z(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + t - 126 + 115, 26 = -5*h + 32*t - 56 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425479680 is divided by 3751?\nAnswer: 3750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 498 and 72?\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 21. Let z(a) = 5*a**3 - a**2 + a - 1. Let k be z(1). Let h = k - -10. What is the remainder when h is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/4 + 664617*h**2\/4 + 5317512*h + 42541632.\nAnswer: -3*(h - 221571)*(h + 16)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19.1 - -19. What is the fourth smallest value in d, -2\/3, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 102.3, -3, -1\/3, 2\/7, 1.3.\nAnswer: -3, -1\/3, 2\/7, 1.3, 4, 102.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -5*p + 408. Suppose o + p = 3*o. Let z be 2\/(-4) - (-555)\/o. What is the highest common factor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -3, -6908, 5, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oowllooowmoowlwmjjo. What is prob of picking 1 m and 1 j?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*o - 7*o**2 + 24*o**2 - o - 15*o**2 as n + w*o**2 + k*o and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.529 + -0.441. Let i = g + -0.03. Let w = -4.055 - i. What is w rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*l + 538 - 238. Let c(s) = -s**2 - 14*s - 28. Give c(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 44287 + -11?\nAnswer: 44276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -328 - -334. Let k = 1990\/7 - 284. What is the closest to k in 2, 4, p, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 581 + -573. Solve -2*u + 8 = 5*s - c, -3*s = -5*u - 22 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329 a factor of 52816109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i**2 - 16*i**2 + 0*i**2)*(-3*i**3 + i**3 - 2*i**3) + 3*i**5 - 6*i**5 - i**5.\nAnswer: 20*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 61*i + 65*i - 28 = 0, 4*a - 50 = -35*i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*r**3 - r - 147*r**3 + r.\nAnswer: -315*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5609 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -15 - ((-52923)\/92)\/39. Which is the nearest to 382? (a) z (b) 0.5 (c) -5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (17 - 16)*(3 - 1). Which is greater: w or 18\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2633, -2634, -2635?\nAnswer: -2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -2. Suppose i - 3*d = 17, -i - 2*d = m*i - 12. Suppose 2*y + 0 = i*f + 3, f = 1. Calculate the highest common divisor of 6 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*s**4 + 61*s**3 + 330*s - 1?\nAnswer: -36*s**2 + 366*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -119 - -119. Suppose 3*g = -3*w + 15, -g + 5*w - 19 + 6 = c. Suppose 33\/2*a - 21\/2*a**g + 3\/2*a**3 - 15\/2 = 0. What is a?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -118 (base 16) to base 12.\nAnswer: -1b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 divided by 28214.\nAnswer: -115\/28214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2870.377 micrometers to meters.\nAnswer: 0.002870377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/6 + 62615*y**2\/3 - 3920638225*y\/6 = 0.\nAnswer: 0, 62615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*j - 250, 5*j = 3*j + 3*p + 113. Calculate the common denominator of 67\/3 and 2\/(-1) + j\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r + 140. What is the lowest common multiple of 1281 and x(15)?\nAnswer: 6405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**3*z**2 - 2*l**3 - 181*z**2 + 475*z wrt z.\nAnswer: -2*l**3 - 362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.031, 4, 62, 2, -1.4, 5 in decreasing order.\nAnswer: 62, 5, 4, 2, 0.031, -2\/7, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 631 - (-12)\/9*9\/6. Suppose 48*v - 51*v + s = 0. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 55 - 48 + 103.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 6. Let w be (2 - (-34)\/(-15))*27\/6. What is the second smallest value in w, a, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-17670)\/(-608))\/(-155))\/(-1 - 38\/(-8)).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -18*l**2 - 10*l + 1224. What is r(7)?\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from {t: 4, w: 2, f: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/2 - 30*q - 61\/2 = 0 for q.\nAnswer: -1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -266, -288, -324, -374, -438, -516?\n\"Answer: -7*k**2 - k - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 - k. Let g be r(1). Suppose -4*y = 3*q - 314096, -8*q + g*q + y + 523501 = 0. What is q rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*x + 12587 = 0, 5*h - 14430 + 1863 = -2*x. What are the prime factors of h?\nAnswer: 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80159573.\nAnswer: 13, 17, 27901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m - 4. Let g be p(-1). Suppose 2*q = 3*q - 4. Solve q = -4*k + w, 3*k + g*w + 7 + 7 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171 (base 8) to base 7.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b33 + e?\nAnswer: -b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9942 greater than 9965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/3 in 2\/5, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 216 = -3*m, 5*a + 2*m - 494 = -2*m. Let s = 177 - a. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4aa7 + -2?\nAnswer: 4aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/4 + 3\/2. Let p(o) = -o - 5. Let d be p(-5). Suppose -c*w + 1\/2 + 1\/4*w**3 + d*w**2 = 0. What is w?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1424471 or 1424481?\nAnswer: 1424471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 425 - 881. Let y = 455.9639 + f. What is y rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448, -452, -458, -466, -476, -488?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -248*h**2*o**3 + 10*h**2*o**2 + 12*h**2 wrt o?\nAnswer: -1488*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43735 - 43678. Let o(n) be the second derivative of -2*n**3\/3 + n**2\/2 + n. What is the remainder when b is divided by o(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1981436464?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**4\/8 - w**3\/2 + w**2. Let x(z) = -11*z - 16. Let h(a) = 32*a + 46. Let m(f) = 5*h(f) + 14*x(f). Give 3*m(n) + 5*t(n).\nAnswer: 3*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*a - 7707, 2*j - 504 = 3*a - 8211. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.9128 to 1 dp.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 - 14*x**2 + 18*x - 33. Let m be b(6). Solve -m*k = -2*r, 3*r = -k - k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-309)\/180 + 1 + 405\/(-4860)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 14*c - 2. Let i be t(-4). Let p = i - -106. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 324 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaa when three letters picked without replacement from aalazlaalzla.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 24*s**2 - 5*s - 5. Let l(j) = 132*j**2 - 28*j - 28. Let n(x) = -5*l(x) + 28*m(x). Let i(g) = 2 - 4*g**2 + 2*g**2 - 2. What is i(n(q))?\nAnswer: -288*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/14 (b) 4\/13 (c) 14 (d) 2 (e) 5 (f) -1\/5 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2107936, 2108008, 2108080, 2108152, 2108224, 2108296?\nAnswer: 2108368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 16 = 13*y, -128*o - 3*y + 7 = -124*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**4 - 16097*g**3 + 30*g - 138 wrt g.\nAnswer: -48*g**2 - 96582*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 2245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c57 (base 16) to base 14.\nAnswer: -1219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 11*a**7\/7 - 3*a**3 - 4. What is the third derivative of t(y) wrt y?\nAnswer: 1320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53178 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -190.9 + -52.1. Let b = -242.999999506 - h. What is b rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 w when three letters picked without replacement from {p: 1, b: 1, x: 2, w: 2, g: 1, c: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2557 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*m**4 + 206.\nAnswer: 68*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.32 and 84687327.\nAnswer: 84687329.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14050?\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*r**2)*(3 + 1 - 2)*(20*r - 6*r - 11*r).\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 4264.7 to the nearest 10.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 522, -1, 3, -2\/3, 1, 120 in descending order.\nAnswer: 522, 120, 3, 1, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/2 - 18630*j - 57846150.\nAnswer: -3*(j + 6210)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*k + 3*k. What is the third biggest value in 1\/3, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92\/(-8)*-2 - 3 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 121623?\nAnswer: 2\/121623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39868343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1024010240 (base 5) to base 15.\nAnswer: 2cdad0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 1202477 = -3*y + 1202510, p = -4*y + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148067 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 b, and 1 a when four letters picked without replacement from bqrbbryqqyrabrqqqqm.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/6 - (0 - 2 - -2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(96)*2)\/sqrt(8))**2 + (sqrt(12)\/sqrt(4) + 5 + -4 + sqrt(18)\/sqrt(6))*6.\nAnswer: 12*sqrt(3) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*x - 453*x = -1232*x + 412*x + 1128 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1630 and 137407370.\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**4 - 4*m**3 + 7*m**2 - 3*m. Let o(j) = j**4 + j**3 - j**2 + j. Let l(p) = 5*b(p) - 5*o(p). Factor l(q).\nAnswer: 5*q*(q - 2)**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q + 50. Let l be r(-23). Suppose -4*t = l*f + 16, 4*t - 4 = f - 0. Solve -2*h = -t*h + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 10 = -5*u + 8, -4*u - 4*n = 0. Let w = -47 + 71. Suppose -w - 22 = -u*k. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38435 + -22635. What is w rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.052 * -0.2.\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 264227 and 264228 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5776*v**4 + 2*v + 375 wrt v?\nAnswer: -69312*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 8:44 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -2 - 1\/2*n**2 - 6*n. Let u(j) = -j - 7. Determine -6*p(x) + 5*u(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 6. Suppose 56 = 4*h + i*w, -2*h - 3*w + 32 = -0*w. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 2*q + 4*q - 5*q**2 - 4*q + 22 to the form c*q + l*q**2 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -32*d + 588. Let n be j(17). Solve 10*t - 21*t - n = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/38 - ((-1320)\/95 + -4). Let c(p) = 28*p - 1. Let v be c(1). Calculate the greatest common divisor of d and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 68\/12 + (-4)\/6. Let s(l) = l**2 + 10*l - 9. Let y be s(-11). Solve 0 = y*c - m - 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 2, x: 1, h: 1}. What is prob of sequence hxy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (0 + (4 - 10)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 786194300 to the nearest integer?\nAnswer: 28039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ca7c2 (base 16) in base 11?\nAnswer: 517140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 8. Let v be m(-10). Suppose -3*k + 501 = 3*c, -165 = -c - k - v*k. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.14 + 20.14. What is the biggest value in w, 0.06, -0.2, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8377 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: Three letters picked without replacement from fwwwwwwwfwfwwtw. Give prob of sequence wff.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 5*l**2 - 14*l - 5. Let g be j(-13). Suppose -234 = -r + g. Suppose 0 = -3*f + 5*p + r, f - 5*p = -f + 2302. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*k + 4*o, -3*k + 4*o - 14 = -3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(2700) - sqrt(2700))*-5 - sqrt(2700))*-2)\/((sqrt(252)*-2)\/(sqrt(567)*-1)).\nAnswer: 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -185587\/60 - -15511\/5. What is the common denominator of 33\/184 and r?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 10. Let q be v(-5). Let b = -1 + q. Let y be 1*(b - 3) + 45. What is the greatest common divisor of 115 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 344862?\nAnswer: 344862.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -69268 minus 5?\nAnswer: -69273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from hhhcchhh?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22779669, -45559317, -68338965, -91118613, -113898261, -136677909?\n\"Answer: -22779648*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 7419360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*n**4 + 88242987*n**2 - n + 716592804?\nAnswer: -8*n**3 + 176485974*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 212 = 4*d, y - 5*d = -3*d + 50. Let q be 8\/(-6)*(-1539)\/(-38). Let n = y + q. Let b(l) = -7*l. Determine b(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2, 126, 472, 1144, 2250, 3898, 6196?\n\"Answer: 18*h**3 + h**2 - h - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112023?\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76962965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q + 5*q + 3*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 9*o**2 + 7*o + 15. Calculate the remainder when v(-8) is divided by 2\/(2\/13 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 24, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/11*j**2 + 0 - 62\/11*j = 0. Calculate j.\nAnswer: -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28860 and 14430.\nAnswer: 28860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 2)*(-3 + 2 + 3) + 0 - 1 - 1)*(0*g - g + 0*g) + 0*g + 5*g + 2*g.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/10)\/(3\/(-105)). Let b(p) = -7*p**2 + 4*p - 3. Let s be b(2). Let q = s - u. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-2)\/4)\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 2, -57, 3 in descending order.\nAnswer: 5, 3, 2, 1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10312 - -1120023?\nAnswer: 1130340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**3\/7 - 136*y**2\/7 - 747*y - 5670 = 0.\nAnswer: -63, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92191477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*n**2*s**2 - 908*n**2 + 78*s**2 with respect to s.\nAnswer: 10*n**2*s + 156*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4364286.\nAnswer: 2, 3, 41, 113, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 - 282*f + 121. Determine r(70).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*o = -161*o - 18. Calculate the common denominator of 31\/107 and o.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l + 1. Let r be 21\/7 + (-3)\/1. Let a be b(r). Put 5, a, 0.1 in increasing order.\nAnswer: 0.1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4090 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccivfiiiic. Give prob of sequence icfc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 549602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 769323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43424, 43428, 43432?\n\"Answer: 4*n + 43420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.1 (b) -1\/22 (c) 5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/5)*g)\/g**(1\/25))\/(g\/(g*g\/g**(1\/4)))**(-1) assuming g is positive.\nAnswer: g**(41\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 5*l - 6. Let s be m(-5). Suppose -2773 = 11*z + 40974. Let x be (z - 7)\/((-2)\/(1000\/s)). What is x rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -11*x. Let q(a) = 11*a. Determine i(q(m)).\nAnswer: -121*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581*u + 368 = -558*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 144?\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uup when three letters picked without replacement from {u: 12, p: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 319940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21470084 - -2.7.\nAnswer: 21470086.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586971701 is divided by 1857?\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8*k + 6. Calculate a(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 225, 241, 267, 303, 349, 405, 471?\n\"Answer: 5*v**2 + v + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14301221, -28602441, -42903659, -57204875, -71506089, -85807301?\nAnswer: -100108511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875915?\nAnswer: 5, 167, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2002011100 (base 3) to base 10\nAnswer: -40941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-4))\/((-2)\/(-16)*2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -558149 divided by -9\nAnswer: 558149\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/6 and -77\/864?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -26 - 19. What is the closest to 3\/2 in -2, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26\/7? (a) -1.3 (b) -0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 29 + 7. Let i = q - -20. Suppose 0 = -2*p + 18 + i. What is the second biggest value in -4, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-7)*(-112)\/64. Let j = 0.03 + 2.97. Let d = 4462 + -4461.8. What is the nearest to -0.1 in j, d, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 546 and 145807571?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = 4*d - 134*g + 587*g - 33 + 105 - 341, -3*g = -3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3506242, -3506244, -3506246?\nAnswer: -3506248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 18*o + 9 - 32*o + 15*o. Calculate b(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 390 and 500?\nAnswer: 19500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4649*m**3 + 5*m**2 - 5*m**2 - 4645*m**3 + 0*m**2 + 9292*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, g: 9, n: 2}. Give prob of sequence gnnu.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x - 2. Let q(g) = -1514 + 0*g**2 - 3*g**2 + 1514 + 6*g**2. Give q(i(o)).\nAnswer: 12*o**2 - 24*o + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3794050 to the nearest ten thousand.\nAnswer: 3790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0. Let v = -11 - -3. Let o = 7.9 + v. What is the biggest value in 4, o, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54600 divided by 4?\nAnswer: -13650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-10)\/2 - 1. Put c, -5, -1 in descending order.\nAnswer: c, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 4*r + 14 = 3*b, 4*b + 2*r - 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 62*f**2 + 11*f + 681. Let d be a(-62). What is the closest to -2 in 35, 3\/4, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 44559*k**2 + 17*k + 20. Let r be s(-3). What is r rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -3. Let t = -1017\/7 - -145. Let h = -7.7 + 7.3. Which is the nearest to t? (a) h (b) 0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.8 + -7. What is the nearest to 1\/2 in 1, 2\/3, l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 200 = z + 3*z, 2*z + 4*a = -112. Is z at most as big as -236\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 4 + 19. Let z(s) = 3*s**2 - 1. Let v be z(-1). Let x be 1 - 4*(-3)\/(-12). Sort x, v, r in descending order.\nAnswer: v, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17865 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.2627 rounded to one dp?\nAnswer: 19.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**3\/p**(3\/8)*(p**(1\/2))**(7\/5) assuming p is positive.\nAnswer: p**(133\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-3*(-2)\/(-6)). Solve 5 = -w + t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*y + 76 = -9*g + 166, 5*g - 2*y + y = 4*y + 50 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 2. Let u(a) = 15*a - 2. Let d(f) = 2*g(f) + u(f). Let k(p) = 27*p + 5. Determine -5*d(s) + 2*k(s).\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**2 - 107014*r + 534988. Give g(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4 + 10*x + 11*x + 15*x - 35*x. Determine u(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216088.331 rounded to the nearest 100?\nAnswer: 1216100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6476*h - 593 + 593.\nAnswer: 6476*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/4 + 327*n\/2 - 651\/4.\nAnswer: -3*(n - 217)*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6)*y)\/(y**(-1)\/y))**(-1\/59)*(((y\/(y\/y**(-2)*y)*y)\/y)\/y*y)**6*(y\/(y*y\/(y\/(y*y\/y**(-4\/3)*y))))\/y**(-4) assuming y is positive.\nAnswer: y**(-3236\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -32 (b) -0.1 (c) 0 (d) -2879 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 53*v**2 + 172*v - 1103. Give m(50).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 3331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 806941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 109945663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5360880, 10721760, 16082640?\n\"Answer: 5360880*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2145 by 65.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.4 + -17.4. What is the biggest value in -16, x, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 110, -10 in increasing order.\nAnswer: -10, -4, 5, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363534967?\nAnswer: 363534967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 12:19 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -42 + 18. Is 2319\/11 - p\/(-33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 884 divided by 34\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3016414642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4740120 by -4.\nAnswer: -1185030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (38\/(-42))\/(84\/98*2). Which is greater: 2\/5 or s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**5\/15 - 1016*h**4\/5 - 353936*h**3\/15 - 3029892*h**2\/5 + 16719354*h\/5 + 74324124\/5 = 0.\nAnswer: -57, -3, 7, 1634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/9 (b) 4 (c) -287 (d) 1\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61679\/12 - -5143. Let k = h - 10\/3. Is k at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, -14, -29, -48, -71, -98?\n\"Answer: -2*n**2 - 5*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*i = 103*i - 440. Suppose i*w - 11474 = -1354. What are the prime factors of w?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 - 0.38. Let m = -136 - -158.5. Let q = -22.6 + m. Which is the third smallest value? (a) q (b) 6\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3.8 (b) -1\/19 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12020 - 110?\nAnswer: 11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3046642 (base 11) to base 12\nAnswer: -1976705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(13\/3))\/v)\/v)\/(v*v*v\/v**(-1\/15)) assuming v is positive.\nAnswer: v**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1*d)**(8\/7)*(d**(2\/7)*d)**(-46))\/(((d*d**(2\/3))\/d**(-2\/11))\/(d\/d**(2\/27)*d**(-1\/4)*d)) assuming d is positive.\nAnswer: d**(-474259\/8316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7676913 by 33819.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 462094 - 1144.072?\nAnswer: 460949.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4)*w*w*w**(1\/20)\/w)**(3\/2))**(-6\/25) assuming w is positive.\nAnswer: w**(531\/500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 1710, 6126, 14716, 28872?\nAnswer: 49986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13162 - 0.1.\nAnswer: -13162.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 3*h + 2. Let p be o(-4). Let m be (2 - (-6)\/(-4))*p. Suppose 48 = 2*c - 5*y, 0 = 3*c - m*y + 3 - 57. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11149750823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2218 + 2295. Which is smaller: t or 1020\/13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/8 - -2)\/((-3)\/(-12)). Suppose -4*c + 36 = m*g, -15 = -3*g + 2*c + 11. Let t(o) = 3*o + 14. Let y(s) = -s - 5. Calculate g*y(z) + 3*t(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 273\/147 - (-1)\/7. Solve -m*c - 3 = -0*c + 5*d, -d + 9 = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeenfvffffeooznez. What is prob of picking 2 f and 1 n?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/3 - 4\/6. Suppose -f*x - v + 4 = 3, -2*x + 5*v - 5 = 0. Solve x + 2\/7*w**3 + 0*w + 0*w**2 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.56348 nanometers to meters.\nAnswer: 0.00000000956348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333923344 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 34141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 8*o**2 + 10*o - 10. What is f(-9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 bigger than -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -396*w**2 - 367*w - 713. Calculate j(-2).\nAnswer: -1563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2823279*v**5 + 12753*v - 44 wrt v.\nAnswer: 56465580*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (4 - (15 - 7) - 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 25102.208.\nAnswer: 50204.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8*f + 69. Let a be y(-9). Let u = 6 - 11. Sort u, a, -7.\nAnswer: -7, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001767158 rounded to six dps?\nAnswer: 0.000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1392489 by -651.\nAnswer: 2139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12322331101 (base 4) in base 5?\nAnswer: -431024403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 331 - 332. Which is the nearest to u? (a) -1\/6 (b) -0.3 (c) 0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 382869599?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 1782 = 10*f - 3*h, 3*f - 1778 = h. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 152, 356, 654, 1046, 1532, 2112?\nAnswer: 2786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4496 divided by -16\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6960\/7511)\/(-60))\/((80\/14)\/4)?\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-0.032\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*y - 4*d - 69, -2*y - 4*d = -50. Are 0.2 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -3)*(-1)\/(-5). List the prime factors of 2\/(-4)*-2 + w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/11 - 1\/33. Factor -l + 7\/6*u - 5\/6*u**2.\nAnswer: -(u - 1)*(5*u - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 351 + -286. Suppose -19 = -14*f + s. Let a(m) = -4*m - 3 + 6 + 5. Calculate a(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(40) + -3*sqrt(40))\/sqrt(8) - sqrt(5))*1)**2 + 4)*1.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h**3 + 15*h + 3. Let r(b) = -20*b**3 + 43*b + 8. Let f(t) = -8*n(t) + 3*r(t). Let j(k) = -2*k**3 + 4*k. Give 3*f(o) - 5*j(o).\nAnswer: -2*o**3 + 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c. Let g(h) = 30*h**2 - 24*h + 28. Let b(m) be the first derivative of -2*m**3 + 5*m**2\/2 - 6*m + 41. Let j(p) = 14*b(p) + 3*g(p). Calculate j(k(x)).\nAnswer: 6*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*n + 45*n + 25 = 0. Is -96\/23 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1218223?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44145 and 22682355.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110 (base 2) to base 5.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2394969?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)\/f)**(-1\/22)*f**(-4\/3)\/(f*f\/f**(2\/11)*f) assuming f is positive.\nAnswer: f**(-269\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11288 and 1496?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 40 = -7*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*r + 4708*r**3 - 123*r.\nAnswer: 4708*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 76414571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7857 - 0.05.\nAnswer: -7857.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.7 and -0.003?\nAnswer: 3.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 - (2 - 3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 7 - 326*k + 321*k)*(-k**2 - 8*k - 24*k - 2 + 10*k).\nAnswer: 5*k**3 + 92*k**2 - 386*k - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2125?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b + 82. Give g(23).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 68386426 to the power of 1\/2, to the nearest integer?\nAnswer: 8270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -55. Let l = 131.8 - 132. Put k, -4, l, 1 in decreasing order.\nAnswer: k, 1, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwzoto. What is prob of picking 1 z and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7457951 divided by -13\nAnswer: 7457951\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 20, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5 - 2*(-6)\/45.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {g: 2, m: 16}.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*v - 26387 = 0, 4*v - 3093 = -y + 2189. Is y a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45622 - -45624. Solve -1 = -g + 2*v, -98*g - r*v = -97*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133aa (base 12) in base 7?\nAnswer: 140131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 2 (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 30 = -0*z. Suppose -z = -0*l - 2*l. Solve 0*b + 2*i = l*b + 15, 3*b = -5*i + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -61e - 1943?\nAnswer: -1f61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 4*v - 1. Let k(b) = -10*b**3 + 4*b**2 + 16*b + 3. Determine k(d) - 4*o(d).\nAnswer: -10*d**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 - 64. Suppose u*z - 2288 = -13*z. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -8*a + 3. Suppose -2*z + z = -a*t - 167, 650 = 4*z + t. Calculate the remainder when z is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 1:53 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38336982815\/162184152 - -49\/1067001. Let z = -4606\/19 + y. Calculate the common denominator of 53\/8 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n - 42. Let w be h(7). Suppose -3*k - c + 965 = 0, 3*k + 3*c - 957 = -w*c. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053 is divided by 176.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 38939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from {q: 3, v: 2, p: 1, e: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 37395 - 37395.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/875 or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36121000 rounded to the nearest one hundred thousand?\nAnswer: 36100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 20, -2*p + 3*x - 2*x - 1 = 0. Let o(z) = 10 + 98*z + 15 + p. Is o(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 - 24929428*p\/5 - 24929423.\nAnswer: -(p + 5)*(p + 24929423)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 383?\nAnswer: 382.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/30)\/(2144\/280 - 8). Let 3\/2 + 1\/4*t**2 + x*t = 0. Calculate t.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.29705 decades to months.\nAnswer: 4595.646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 274264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**3 + 28*r**2 - 48*r = 0. What is r?\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 8, -4*x = -8*x + 2*r + 244. Suppose 72*k + x = 102*k. Find o such that -176\/7*o + 172\/7*o**2 + 64\/7 + k*o**4 - 73\/7*o**3 - 1\/7*o**5 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1740.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -3, -2\/5, 35 in descending order.\nAnswer: 35, -2\/5, -4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 122164 and 1998254?\nAnswer: 27975556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 283271783*t**3 + 11776224*t + 24 wrt t.\nAnswer: 1699630698*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nb when two letters picked without replacement from ynpompb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -0.1 (c) -7\/6 (d) 99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -35333096841*z**5\/5 + 188445438804*z**4\/5 - 204158811928*z**3\/5 + 62827427232*z**2\/5 - 4010256*z\/5 + 64\/5 = 0?\nAnswer: 2\/62657, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**3 + 5*s**2 - 3*s - 3. Determine u(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 12\/109 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 times -5?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -26*d**2 - 214*d + 65. Calculate z(-11).\nAnswer: -727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 13, 84, 225, 460, 813?\nAnswer: 1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2879804.4 months in years?\nAnswer: 239983.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = 4*a. Let n be 32\/(-20) - a - (-21)\/(-15). Which is smaller: -1\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1670 - 8348\/5. Suppose v*n**2 - 72\/5*n + 648\/5 = 0. Calculate n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - 5223032?\nAnswer: -5223015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78050*j**3 - 668*j + 68.\nAnswer: 468300*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -250 + -16a?\nAnswer: -3ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/105310442 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(4536)*-2*-6)\/((sqrt(2) - sqrt(50) - sqrt(2))*-6 + (sqrt(2) - 6*sqrt(8))))**2.\nAnswer: -1306368\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**5\/120 + 2*c**3\/3 + 46*c. Let r(h) be the second derivative of j(h). Let u(s) = -2*s - 19. Give r(u(b)).\nAnswer: -2*b - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-85))\/((-6)\/(-60)*-4).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1163 is divided by 669.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a + -a475?\nAnswer: -a4a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kakaakkakkakkkaakaa. Give prob of picking 4 a.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/4 - 30\/40. Let s = 0.12 + -10.12. Is l less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**4 - 1296*y**3 + 8892*y**2 - 5024*y - 15216 = 0. What is y?\nAnswer: -1, 2, 6, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -202 by -3.\nAnswer: 202\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 8, 2, -0.115, 1 in increasing order.\nAnswer: -2, -1, -0.115, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1031.1 + 1003. Let n = b - -27.9. What is the fourth biggest value in -0.4, 0, n, -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 113499*m + 794493. Determine x(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u + 2*b - 3*b, 8 = 5*u + 2*b. Let o(p) be the first derivative of 0*p + 0*p**u + 4\/9*p**3 - 17 - 5\/6*p**4. Factor o(a).\nAnswer: -2*a**2*(5*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 1 + 1 - 5*m - 2*m + 4*m + (-1 + 1 - 2)*(-4*m - m + 6*m))*(-2*m - m + m + 4*m - m - 2*m + (-2 + 2 + 2*m)*(2 - 4 + 0))*(-3428 + 67*m + 3428).\nAnswer: 2680*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -477*x = -484*x + 28. Solve -x*n - 92 = -96 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 377.9 to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 648127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) -1\/3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5006, -0.2, 2\/7, -29 in ascending order.\nAnswer: -5006, -29, -0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -8*f**3\/3 - 2*f**2 + 10. What is the second derivative of r(p) wrt p?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 55*s = 0. Solve s = 8*a - 48 + 24 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4.19 (b) 1\/2 (c) 117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**22)**(-10\/11) assuming f is positive.\nAnswer: f**(-230\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2*(2 + (-18)\/10)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264633?\nAnswer: 3, 88211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -30*d + 4*d**3 + 3 - 32*d - 3 - 8*d**2 + 57*d. Let t(a) = 4*a**3 - 7*a**2 - 4*a. Suppose 0 = 4*l - 6 - 14. Calculate l*t(s) - 4*u(s).\nAnswer: 4*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/3)*n**1)\/(n*n**1)**(-7\/5)*n*n**(1\/2)*n*(n*(n**(3\/2)*n)\/n)\/n*(n**0\/n)**(-7) assuming n is positive.\nAnswer: n**(242\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) 337 (b) 0 (c) -758\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 17*x + 105. Let u be s(-6). Find the first derivative of -50 - 6*l**3 + 46*l**u - 15 wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 + 2296 - 2*c - 4*c - 2430.\nAnswer: -6*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m**(6\/23)*m))*m\/((m**(-25)*m)\/m)*(m**(1\/5))**(37\/4))**(-1\/12) assuming m is positive.\nAnswer: m**(-12931\/5520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((((2 + sqrt(80))*1 - (sqrt(80)*2 + -4))*2)**2 + 3 + 3).\nAnswer: -1880 + 768*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 6*a. Let v = 0 - -6. Let p be q(v). Solve 2*c = 2, p*c - 3*c - 12 = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**6\/120 - 13*l**5\/60 - 11*l**4\/24 + 8*l**3\/3 - 3*l**2. What is the units digit of w(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001111111 - -10101100011?\nAnswer: 1011100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -21, -36?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 86? (a) 1\/4 (b) 2 (c) -11.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 855.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((40\/105)\/2)\/((-190)\/(-133)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/36*(24\/4)\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 + 5*c + 1. Let j = 341 + -351. Let q(h) = 2*h**2 + 3*h. Calculate j*q(v) + 6*x(v).\nAnswer: -2*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7932? (a) -10 (b) -2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 962 - 502. Suppose -4*u - u = -n. Let c be 14*245\/150 + (-18)\/(-135). What is the greatest common factor of u and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 430 + -213. Let o be -1 + (-4)\/(-6) + x\/3. Calculate the greatest common divisor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 + -2 - (292 + -289 - (1 + 11))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 9*o - 55. Calculate l(9).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 15) in base 6?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(1331)*1.\nAnswer: -55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**3 - 16*o**2 + 6*o + 44. Let a(y) = -3*y**2 + y + 7. Let t(v) = -6*a(v) + c(v). Let h(q) = -30*q**3 - 21*q**2 - 21. Give -4*h(x) - 42*t(x).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 4*j**2 + 4*j + 5. Let r be f(5). Suppose -v = -r*v. What is the biggest value in -7, 1\/12, v?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - j**2 + j - 9. Let a be y(0). List the prime factors of (-15)\/(-2) + a\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 3*l**2 - 3. Let g = 5 + -3. Let j(u) = 3*u**3 - 24 + 2*u**3 + u**3 + 8*u**g + 32. Give 3*j(c) + 8*o(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 158, 162, 168, 176, 186?\n\"Answer: f**2 + f + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 3*l**2 - 2*l**3 + 19*l**3 + 3*l**3 + l**4 + 0*l**4 - l as u*l**3 + o*l**4 + k*l + r + b*l**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4 + 3910*t**3 + 3825933*t**2 + 7640140*t + 3818116 = 0.\nAnswer: -1954, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 10718000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-2 + (7 - 3)). Let b(h) = -h**3 - 5*h**2 + 14*h + 1. Let n be b(-7). Sort n, u, -3 in descending order.\nAnswer: n, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2610752 rounded to 3 decimal places?\nAnswer: 0.261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 12*d**2 - 18*d - 31. Let f be w(-13). Suppose 25*r + 540 = f*r. Calculate the lowest common multiple of r and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1))**6)**(-1\/10)*((v\/v**4)\/(v**(1\/3)*v))\/((v**(2\/3)\/v)\/v)**22 assuming v is positive.\nAnswer: v**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 + 5\/3. Let v = -116 - -171. Suppose -a = 4*a - v. What is the greatest common divisor of a and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(108)*2*5)\/(sqrt(66)\/sqrt(176) - sqrt(6) - 3*((sqrt(54) - sqrt(6)) + sqrt(6))) + 1.\nAnswer: -200*sqrt(2)\/13 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2931087.413 to the nearest 1000.\nAnswer: 2931000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m = 25. Suppose -a = -4*s - 64, -a + m*a - 319 = -5*s. Let q be 0\/6 - (-1 - a). Calculate the highest common factor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-2*(-2)\/(-4)). Let l = v + 2. Suppose 889*q + 6692 = 1845*q. Solve -l*t = -q*t + 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1, 18, 0.2, 17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/84257 or -1?\nAnswer: 2\/84257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 35, -5\/4, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-16)*((h\/h**17)\/h)\/h assuming h is positive.\nAnswer: h**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -229670, -229528, -229386, -229244, -229102, -228960?\n\"Answer: 142*o - 229812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.4 > 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hehhhqheeeqqhhqhhhhh. What is prob of picking 1 h and 3 q?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 9:54 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 8:01 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*k**3 + 192 - 909 + 49*k**3 - 104*k**3 - 58.\nAnswer: -4*k**3 - 775","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 9*c - 5. Let l be i(8). Factor -l*d**4 + d**4 + 7*d**2 - 4*d**2 - d**4.\nAnswer: -3*d**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7663154 millilitres to litres.\nAnswer: 0.0007663154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 3*s**2 - s - 5. Let b be u(4). Suppose -3*q + 6 = -15. What is the greatest common divisor of q and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-5) - (-9)\/(-15). Suppose u = 7*d - 6*d - 5. Find the third derivative of -d*v**2 + 4*v**2 - 2*v**6 + 7*v**6 wrt v.\nAnswer: 600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1970 and 38\/4531.\nAnswer: 45310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-1 + 7 - 5) + 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -187932000 to the nearest 1000000.\nAnswer: -188000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7274 - -0.6274. Which is bigger: m or -755?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31925*-0.3.\nAnswer: -0.095775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4\/3 - 32*p**3\/3 - 40*p**2\/3 + 32*p\/3 + 12.\nAnswer: 4*(p - 9)*(p - 1)*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -154, -214, -262?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**3 + 1477*t - 3*t**3 + 4 + 3*t**2 - 1479*t in the form k*t**2 + d + h*t + y*t**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(192) - (sqrt(192) + 0)) + sqrt(192) + sqrt(192) + sqrt(192) + (-2 + sqrt(192)*-2 + sqrt(192))**2 + sqrt(192) + -5)*4.\nAnswer: 256*sqrt(3) + 764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 19 = -104*b + 101*b, -b = 4*w + 18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -207.72 - -206. Let y = m + 0.72. Which is the nearest to y? (a) 13 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -538828294 - -538828419.2520865. Let k = -2.7478988 - v. Let r = k + 128. Round r to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124\/6 + 1\/3 is divided by -4*5\/((-80)\/24).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121 and 2783?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-20))\/(((-18)\/(-4))\/(-1))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = 4*n. Suppose 0 = 4*z - n*z - 6. Solve 0 = 5*u + 3*d - 19, d + 2*d = -z*u + 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzzqqazqzqhzzxz. What is prob of picking 2 h and 2 q?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1342603 + 3?\nAnswer: 1342606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**2 + c - 2 + 0*c**2 - 3*c**2. Let s(v) be the second derivative of -1\/6*v**3 - 1\/12*v**4 + 0 + 3\/2*v**2 - 5*v. Give 6*f(b) + 4*s(b).\nAnswer: 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 573 + -441. What is the remainder when 281 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 90 = j. Calculate the greatest common factor of 18 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-59790)\/71748*18\/(-5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - k - 4 = 0, 6*z + 634*k = -4*z + 12*z + 638*k + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42716979709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 54\/(-4) - 123\/(-82). Let r(u) = -28*u - 92. List the prime factors of r(b).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 (base 9) in base 5?\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/1696 and -59\/848?\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 120403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - g - 4*g - 35, -4*a = 2*g + 26. Let n = 23 + a. Solve 10 = i - 3*i, -2*o - 2*i = n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 6)*(-3)\/(-6). Let t(c) = c**2 - 2*c + 3. Let r be t(w). Suppose -3*k - 55 = -r*k + 4*m, 4*k = 2*m + 60. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4631*0.3.\nAnswer: 1389.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98196 = -547*h - 808*h + 14*h + 172*h for h.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 15*g - 10. Let a be o(-14). Let y = -13 - a. What is the remainder when 30 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 269*s - 91819. Determine u(197).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15452627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-4 - 2) - (16 + -59 - -31)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3784009, 15136101, 34056255, 60544471, 94600749, 136225089, 185417491?\n\"Answer: 3784031*g**2 - g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**5 - 5*p**5 - p**5 + (-p**3 - 8*p**3 + 2*p**3)*(-p**2 - 5*p**2 + 5*p**2).\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5903258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*2\/3*(-1320)\/(-1100)*7.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 + 4*u**3 - 2*u**3)*(-12*u + 21 - 21) - 5*u**4 + 2*u**4 + 4*u**4.\nAnswer: -59*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15430635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1148, -577, -2296, -4003, -5692, -7357, -8992, -10591?\n\"Answer: p**3 - 3*p**2 - 1723*p + 2873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 16*k - 15. Determine x(15).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsvsvsvsvv. What is prob of picking 4 s?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.37 + -1106213007.4.\nAnswer: -1106213008.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/43 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 5*b. Suppose b = -3*y - y - 116. Let u = y - -47. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 - 8*k + 12. Let w(i) = i**2 + 5*i + 5. Let b be w(-5). What is the tens digit of a(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 4 - 2)\/(3 - 1). Suppose 859 = g + 5*m, a*g - 3*g - m + 867 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 5*p + p**3 - 4*p - 3*p**3 + 8*p**2. Let k be z(6). What is the highest common factor of 45 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -370, -2037, -4808, -8683?\nAnswer: -13662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8467*o + 121969 = 102583 + 442736 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 18448 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) -38 (c) 0.4 (d) -109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kikp. What is prob of sequence kik?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.016 - -1.016. Let y = 164\/7 - 24. Which is the closest to p? (a) 5 (b) -1\/6 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 u when three letters picked without replacement from offununff?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from iiifirribrfbiirif?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 11. Let c be f(-13). Suppose -c*y = -6*y + 88. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3821 - -3822. Let q(r) = 9*r - 5. Let v(u) = -u + 1. Give t*q(f) + 5*v(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 w when four letters picked without replacement from {c: 4, w: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/7)*p)\/p*p*p**(-8))**(-2\/9) assuming p is positive.\nAnswer: p**(88\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 + -234 - (-3 + -14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3175 and 14913864.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11020 (b) 1652 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkkkkkskksskkkkks?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + -51. Suppose -3*k + 2*g = -13, 2*g = 5*k - 3*g - 20. Suppose -s + k*f + 18 = s, 2*f + 12 = 2*s. Solve -n*j - 2 = s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111442 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - ((-280)\/(-42))\/(((-250)\/60)\/5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x*x\/(x**(-2\/13)*x)*x))*x\/(x\/(x*x**(-12\/7)))*x**18\/x**(-32) assuming x is positive.\nAnswer: x**(4681\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/3)\/(192\/(-352) + 3\/(-55))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -171 + 185. Suppose x*j - 56 = -0*j. Solve 32 = 4*z - 4*q, -6*q - 24 = -4*z - j*q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 469 and 670?\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8803.472 seconds to microseconds.\nAnswer: 8803472000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3426 to two decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 5*n**2 - 5*n - 1. Let r be u(3). Solve -w - 27 = -5*f - r, 2*w + f + 6 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.9 + -0.1. Let y = 7 + i. Let j = 0.0000015 + y. What is j rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 290 and 185890.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/18 and 41\/873398.\nAnswer: 7860582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -2.92\nAnswer: -11.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**5\/7 + 6042*v**4\/7 + 887660*v**3\/7 + 33590100*v**2\/7 + 123062742*v\/7 + 90354258\/7 = 0.\nAnswer: -69, -3, -1, 3163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6315?\nAnswer: 3, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/14)\/((-1296)\/(-30024)) and -127\/728.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/210 and 19\/36.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*y - 154*y + y**2 + 72*y.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.03 (b) -1\/3 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566339.\nAnswer: 31, 18269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*f + 12*u - 9*u, -9 = -f + 2*u. Let l = 8 + -12. Put f, 5, -3, l in ascending order.\nAnswer: l, -3, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.15, 3, -0.3, -12, 0.05, 0.01?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qlqccuqbaqcbcb. What is prob of picking 2 c and 1 a?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**2\/3 - 12760*x\/3 + 10176100\/3 = 0.\nAnswer: 1595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. Suppose -3*r - 32 = -4*q + r, -5*q - 4*r - 5 = 0. Suppose q*l = -2*l. Solve -5*i + 5*v = l, -5*i - v = -k*v - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1730 - -1726. Sort -3, 0.49, r, 0.7 in ascending order.\nAnswer: r, -3, 0.49, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3465)\/(-84))\/(4\/272) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 4*i**3\/3 - 9*i**2\/2 - 25*i + 29. Find the first derivative of p(m) wrt m.\nAnswer: 8*m - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((45\/(-6))\/3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49507087\/201468 - -25304\/103. Find the common denominator of c and 265\/(-70) - (-1 - 1).\nAnswer: 13692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 6*k - 15. Let x be c(-2). Let f = -4 - -1. Put -2\/5, f, x in descending order.\nAnswer: x, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 576?\nAnswer: 575.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*c**2 - 91 - 90 + 4*c**2 + 181.\nAnswer: -94*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10872 and 792.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 935573 to the power of 1\/2, to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**2 - 7*h - 6. Let f(i) = 18*i**2 + 10*i. Let d(b) = -8*b**2 - 5*b. Let p(o) = -2*d(o) - f(o). Determine g(p(c)).\nAnswer: 24*c**4 + 14*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/10*16\/(-96).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Solve 0 = j - 4*n + 7 + g, 3*n - 6 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 24 = -2*g. Let v = -6 + g. Suppose j - 12 = 5*j. What is the closest to v in 3, 5, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-10)*3*-4*(-16)\/(-1920). Let r = 82\/5 - 17. Which is the third biggest value? (a) m (b) r (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t + 0 - 6 + 4 - t**2 + t**4 + 0 to the form g*t**2 + y + h*t**3 + s*t + c*t**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*g - v, -g - 5*v - 4 = -5*g. Let m = -5099 - -5094. Sort -3, m, 3, g in ascending order.\nAnswer: m, g, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 6:10 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - i + 8 = -0*t, 2*t + 5*i + 44 = 0. Let s = 10 + t. Let r = s + 12. Calculate the remainder when 17 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/3)\/5*3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqoqizqzoiozo. Give prob of picking 3 q and 1 o.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101110100 + 11100101?\nAnswer: 100001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 18.9. Let w = -42 - n. Let a = 22.999945 + w. Round a to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 15432867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**2\/2 - 10*s. Let d(m) = -2*m - 7. Let c(w) = 4*w + 15. Let r(i) = -6*c(i) - 13*d(i). What is r(n) + u(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (4 - 1) + -8 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 10054*m - 171251. Give n(-17).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19355000 rounded to the nearest one hundred thousand?\nAnswer: 19400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-64)\/36 + 68\/18. Suppose h*q = 3*r - r - 18, -5 = -r. Let z be (72\/27)\/(0 - q\/3). Solve g + 4*g = -z*v - 17, 0 = -5*g + 4*v - 33 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d - 1. Let l be 1\/(2\/(16 + -2)). Suppose -2*f = -l*f + 125. Calculate the remainder when f is divided by m(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8702993.2 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -121*b + 124*b + 9, -b = 4*k + 43 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 486461, 972925, 1459387, 1945847?\nAnswer: 2432305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 40. Let z(s) = 374*s + 237. Calculate 6*k(w) + z(w).\nAnswer: 368*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 615.8501 kilometers?\nAnswer: 615850.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9822\/(-6)*(-1 - -2). Let a = -1008 - l. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18301 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011101 + -10?\nAnswer: -10011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-380)\/(-3610) + (-604)\/(-38). Let k(x) be the first derivative of m + 0*x - 3\/2*x**2. Let i(s) = -6*s. Calculate k(i(z)).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cac when three letters picked without replacement from {c: 10, a: 9}.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*p + 430*p - 23865 = 139*p. Solve o + 33 = -3*d + p, -d = o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/713 and -63\/10.\nAnswer: 7130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 20 = 484*p - 499*p, p - 4*g + 16 = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.03552 + 0.03552. Sort t, 0.1, -5, -17\/6 in decreasing order.\nAnswer: 0.1, -17\/6, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i + 2. Let p be u(0). What is the tens digit of ((-46)\/(-5))\/(p - (-57)\/(-30))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*m**2 + 45*m - 3.\nAnswer: 3*(m + 1)*(16*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 f, 1 g, and 1 y when four letters picked without replacement from fqyqqqgyyvqi?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + u - 3 + 1 + 0.\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2019 + -1 + -2 + 3.\nAnswer: 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 4 (c) -0.3 (d) -4\/11 (e) -1\/497 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/8 - (-7)\/2. Suppose 0 = -b*v + 12 + 15. Suppose 0 = 473*d - 68673 + 17589. Calculate the greatest common factor of v and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 25 = 0, -22331*c - 5*q + 70 = -22336*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3*(-12)\/(-8). Let n be 2*z\/2*-31. Let m = -20 + n. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-6454.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 7:21 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56.2 - 47. Let r = o + -9. Put -0.4, 3\/5, r in increasing order.\nAnswer: -0.4, r, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102361 and 578788.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2885389\/2 or 1442694?\nAnswer: 2885389\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -2231, -7912, -18975, -37214, -64423, -102396, -152927?\nAnswer: -217810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**3 - 155*m**2 + 68*m + 98. Give h(-52).\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -24. Let t = 1.8 + l. Sort -2, t, 1\/5 in decreasing order.\nAnswer: 1\/5, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-126)\/14)\/(-27)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s**3 - 6*s**2 - 15*s - 2. Let d(b) = b**2 + 3*b. What is -6*d(x) - r(x)?\nAnswer: 6*x**3 - 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2. Let j(l) = -6011*l. What is j(n(i))?\nAnswer: -12022*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 0 - 2)*(-1 + 0 + 3) + 0 - 4 - 2)*(3*u + u - 2*u) to the form m*u + i and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(4163\/276)\/(-181).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 7*f - 9. Let k be j(9). Suppose -20 = -k*m + 4*m. Solve -m*t + 3 + 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000010 (base 2) in base 10?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 434276 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l - 1. Let y be z(1). Let j = 10 + -8. Suppose -4116798 = -i + y*n + 1483190, j*n = 2*i - 11199994. What is i rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12831673 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 161, 337, 673, 1235?\nAnswer: 2089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 234 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 2:06 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d. Let i = -5 + 3. Let f(v) be the first derivative of -v**4\/6 + 3*v**2 + 5. Let q(l) be the second derivative of f(l). Determine i*x(s) - q(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62*w - 277*w**2 - 57*w - 116*w - 132*w wrt w.\nAnswer: -554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j + 2. Suppose -3*h + 2*h + 3 = 0. Let i(y) = -6 + 1 + 7 - 2*y - 1. Calculate h*d(n) - 5*i(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((117\/(-24))\/(-13)*(-168)\/1050)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -48250000 rounded to the nearest one million?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7485*r**2 + 25*r. Let z(t) = 460328*t**2 + 1540*t. Determine 308*d(m) - 5*z(m).\nAnswer: 3740*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2029)\/6087)\/((-4)\/(-150))?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 13*h**2 + 11*h + 6. Let n(p) = 4*p**3 + 29*p**2 + 3*p - 16. Let r be n(-7). Calculate a(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -3*c - 35. Suppose -4*t + c = -265. Suppose 3*o - 934 = 5*g + t, -g = -3*o + 996. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 14266 (b) -2\/15 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 857.1242ug in kilograms?\nAnswer: 0.0000008571242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 386 + 0*x**2 + 101*x**3 - 383 + 7*x**2 wrt x.\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**2 - 11*z**2 - 3*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3802.\nAnswer: 2, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 1.2413583?\nAnswer: 0.7413583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002397649 to seven decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 4*w**2 + w - 1. Suppose 34 = 4*p + 2. Let o = 5 - p. Is 2 a factor of g(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6) - 3\/36*4. Suppose a = 3*f - 4 - 62. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y = 65724 + 16908. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 266292 (b) -92 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 98814714 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 358\/(-10) + 53452\/(-460) + 116\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*j - 4*j - 4*j**5 + 40*j**3 + 55734*j**4 - 120*j**2 - 55722*j**4 + 108 = 0. Calculate j.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30 + (-8732)\/(-370))\/((-4)\/45). Suppose -929 = -2*w - 209. Calculate the highest common divisor of x and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 25. Suppose 5*z - 5*n = 95, -z + 7*n = 3*n - 25. Are z and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -2, -7, -113, 2 in decreasing order.\nAnswer: 2, 0, -2, -4, -7, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*i**2 - 1 - 870*i**2 + 1 + 94*i**2.\nAnswer: -682*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320 (base 7) to base 9.\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25560 and 210.\nAnswer: 178920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -3. Let p = 376\/2275 + -2\/175. Let t = 235 - 240. Which is the nearest to 0.2? (a) p (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 0.0047.\nAnswer: -4.9953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-266)\/35)\/((-1)\/16*400\/(-250))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -726*v + 2068*v + 3041*v.\nAnswer: 4383*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 11:08 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwwdwdwwwwwwdwdwww. Give prob of sequence wdwd.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (156\/(-40) + (-2)\/(-5))*-2. Which is smaller: 22\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 696, 1432, 2166, 2898, 3628, 4356, 5082?\n\"Answer: -u**2 + 739*u - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 44940.34 and 12.\nAnswer: 539284.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyyyyuyyyyy. Give prob of picking 1 u and 3 y.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46147 rounded to 3 dps?\nAnswer: 0.461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 389131992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w - 23*w + 897 = -4*s, -s + 24 + 33 = 4*w for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3647 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10, -29, -54, -85, -122, -165, -214?\n\"Answer: -3*p**2 - 10*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3349 + 9485 = 3161*w + 1261*w - 7130 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13058, 26103, 39148?\nAnswer: 52193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5389 - -6105.8. Let c = d + -695. What is the biggest value in -2\/7, 3\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85948818870 - 0.92\nAnswer: 85948818869.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14\/493 + 1969\/17255. Let n(r) be the third derivative of 0*r**4 - 5\/6*r**3 - 3*r**2 + 0*r**5 + 0*r**6 - s*r**7 + 0 + 0*r. Differentiate n(j) wrt j.\nAnswer: -72*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1156065 (base 7) to base 15\nAnswer: -2e046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2 - 9 - 10 + 19. Let y(j) = -3*j**2 + 46*j - 46*j. Calculate y(h(g)).\nAnswer: -75*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -1863*b + 14928. Determine p(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 66863, 133720, 200577?\n\"Answer: 66857*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11620, 46576, 104836, 186400, 291268?\nAnswer: 419440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**6\/2 - 208*z**5\/5 + 2*z**3\/3 - 7*z**2\/2 + 1465. Find the third derivative of m(j) wrt j.\nAnswer: -180*j**2 - 4992*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*u**4 + 2*u**3 + 24*u**2 + 857*u + 1 wrt u?\nAnswer: 72*u**2 + 12*u + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 217576 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/10 + 4\/20. Suppose 0*t = 2*t - 16. Suppose -g*n = -26 + t. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0.014 (c) -7\/3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g + 17. What is w(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -101184039 divided by -1022061\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2698 + -2437.1. Let t = i - 216. Let u = -45 + t. Which is the third biggest value? (a) u (b) 0.01 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.6009216\nAnswer: -3.004608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.29 less than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2 + 339723652*q - 14426519966027138 = 0. What is q?\nAnswer: 84930913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36742 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -681*u**5\/20 - 385*u**4\/12 + 432*u. What is the third derivative of f(d) wrt d?\nAnswer: -4086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + m + 3)*(5 + 5 + 17).\nAnswer: 27*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -260 - -194. Let c = 77 + y. Calculate the remainder when 62 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 74*n - 3. Let m be w(-37). Let g be (4\/(-6))\/((-2)\/(-12)). Let x be 30\/((-15)\/m) + g. What is the third smallest value in x, 0.4, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 11:40 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 315555*h**2 + 1239346 wrt h?\nAnswer: 631110*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 11*a**2 + a**2)*(-7 + 19 - 12 - 17*a).\nAnswer: 170*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13*c + 9. Let f(d) = 26*d + 17. Let i(r) = -4*f(r) + 7*g(r). Let u be i(-10). What is the remainder when 49 is divided by (2\/5)\/(5\/u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 38 = -o + 6*o, -3*q = 4*o - 31. Suppose -5*g - o = -4*g. Put g, -1\/5, -2 in increasing order.\nAnswer: g, -2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1603871, -3207745, -4811621, -6415499, -8019379, -9623261?\n\"Answer: -l**2 - 1603871*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27101461 is divided by 3387681.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j + 18. Let y(h) = h + 7. Let z(s) = 5*u(s) - 12*y(s). What is the derivative of z(r) wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 914, 857, 800?\nAnswer: 743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -460 - -459.23. Let f = 2.77 + w. Let s = 0.11 + -0.11. Sort 0.1, f, s in decreasing order.\nAnswer: f, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (53 - 43 - (2 - (2 + 1))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17930 divided by -11.\nAnswer: -1630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -148*w**2 + 12*w**3 + 148*w**2 + (w**2 - w**2 + w**2)*(-3*w + 1 - 1) + 3*w**3 - 6*w**3 + w**3 + 2 - 3*w**3 - 2.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 o when three letters picked without replacement from ooffofooooofoo.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.31 != 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19, -43\/38, -1\/4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 3)*(-1 + 6 - 1)*((-2 + 4 - 1)*(-2*q + 6*q - 3*q) + 3*q + 4*q - 6*q - q + 0 + 0 - q - 3*q + 5*q + (1 + 0 - 2)*(3 - 3 - q)).\nAnswer: -60*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 17*p - 34. Let q be a(19). Suppose -b + 10 = 3*n, -3*n + 5*b - 8 = -4*n. What is the second derivative of -d**q - 5*d**4 + 2*d + n*d**4 wrt d?\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 + -26. Suppose 10*n - v = 5. What is the nearest to n in -3, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**6\/120 - d**5\/6 + d**4\/3 + 2*d**3 + 9*d**2. Calculate y(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15413 + -15402. Let p = 4.6 - 0.6. Put p, g, -0.1, -4 in descending order.\nAnswer: g, p, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(243) + -5 - sqrt(243) - (sqrt(243)*1 + 3) - (2*sqrt(243)*1 + -3)*5)**2.\nAnswer: -1386*sqrt(3) + 29452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*p**3 - 355176*d**2*p - 167*d**2 + 2*d*p**3 + d*p**2 - 4*d + p**3 + 10238*p**2 - 29 wrt d.\nAnswer: -4*p**3 - 710352*p - 334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 24*l**2 - 7*l - 10. Let t be x(-2). Let m = t - 91. Solve 4*d + 1 - m = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 3*l**7\/70 + 23*l**5\/60 + 12*l**2. Find the third derivative of u(f) wrt f.\nAnswer: 216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and (3\/9)\/((-23)\/(-11178))?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23*(-80)\/24840 + ((-6090)\/(-324))\/(-5)?\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q + 38. Let m(l) = l**3 + 8*l**2 + 12*l - 7. Let x be m(-6). Let h be n(x). Solve 0 = 5*u + 3*o - 15, u - 2*o + 6 = h*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, 50, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) -0.5 (b) -4 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*p = 39, z + z - 3 = 3*p. Let y be ((z - 3) + 0)\/1. What is the derivative of -c**3 + 1 + 4*c**y - 5*c**3 wrt c?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 95948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - 15 - 4*i + 3 + 8)*(-i - i**2 + i).\nAnswer: 2*i**4 + 4*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -7*t + 19395. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 79*d**2 + 839*d + 858. Give v(67).\nAnswer: 3203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*s + 52 - 12 = -69. Which is the biggest value? (a) -0.1 (b) 5 (c) 0.8 (d) -0.79 (e) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54912 divided by -52\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 12*f - 12 = 21*f - 8*f, -3*f = 8*x + 48 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-12)\/12)\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 3)*(0*y + 0*y + 2*y) + 12*y + 7*y - 25*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*j + 5*j + 10*j + 9*j + 10*j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**2 + 112*m + 3136 = 0.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 2114.\nAnswer: 1\/2114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-13 + -3 - (-38 - -54))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 37600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181214.\nAnswer: 2, 11, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 34. Let g(r) = 7*r**2 - 6*r - 7. Let z(d) = 8*d**2 - 7*d - 8. What is j*z(u) + 6*g(u)?\nAnswer: 2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (28 + -15 - 58).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 815826595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2677668*w**2 - 44517*w - 105 = 0?\nAnswer: -7\/508, -5\/1757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -114 + 108. Put 2, m, -2 in ascending order.\nAnswer: m, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c139 (base 14) in base 5?\nAnswer: -2030200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960 is divided by (0 + -15 - (-2296)\/16)*(1 - -1)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o - 5*g = -17*o + 5, 0 = 2*o - g - 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1936 + 1933. Which is the closest to -1\/4? (a) 3 (b) 18 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80491?\nAnswer: 80491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -13352*z + 1922700. Give g(144).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5\/2 - 259*q**4 - 32756*q**3 + 202792*q**2 - 409768*q + 274576.\nAnswer: -(q - 2)**3*(q + 262)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 + -92. Let o be -20320*-250*4\/d. Round o to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -250.231.\nAnswer: -250.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 7:45 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -122753933\nAnswer: -6\/122753933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*t - 42 = 2*t, -2*u - 3*t = -16. Suppose 0 = -g - u - 16. Let f = -2 - g. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*v - 94*v + 2244. Suppose 0 = 5*d + 7*i - 2*i - 30, 12 = 2*d + 5*i. Calculate the remainder when v is divided by (-6)\/(-9) + 152\/d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 14*z + 25. Let l be j(13). Solve -3*h + 388 = l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 471\/7 + (-8)\/28. Let x = f + -47. Suppose b = 6*b - x. Is 3 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/284)\/(-114 - (-3234)\/28)\nAnswer: -4\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-7)\/2*14. Suppose 2*c = 5*m - 150, -3*m + 3*c = -m - t. Is 26 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h - 41*h - 68*h)*(-h + h + 3*h).\nAnswer: -348*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153312.\nAnswer: 2, 3, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7380)\/(-1120) - 14*(-3)\/(-6) and 103\/76.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 9*r**2 - 14*r + 38. Let s be u(5). Suppose 53 - s = -m. What is the remainder when m is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 45397, 45394, 45391, 45388, 45385, 45382?\n\"Answer: -3*j + 45400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51841.\nAnswer: 47, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16466, -32934, -49432, -65966, -82542, -99166, -115844, -132582?\nAnswer: -149386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88501 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1171*v = -1246*v + 75 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 8\/23, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -619\/72?\nAnswer: -619\/72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37*f + 15 + 5*f**2 + 5 - 12*f.\nAnswer: 5*(f + 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**3 + 123*l**2 + l - 250.\nAnswer: -6*l + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 75949 and -1542187.\nAnswer: -1466238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 8234 - 8234 - 90*g - 575*g as b + d*g and give d.\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5\/21 - 94*l**4\/21 + 199862*l**3\/21 - 6629426*l**2\/21 + 6030740*l\/7 = 0. Calculate l.\nAnswer: -355, 0, 3, 31, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 1077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 71723093578 - 71723093578.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3}. What is prob of picking 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -3*m. Suppose 0*p - 5*p + 810 = m. Calculate the greatest common factor of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398601.\nAnswer: 3, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -362 - -518. Let u = q - 466\/3. Let d = 0 - 0.1. Which is the nearest to 0.1? (a) u (b) -0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.3 and 4294902.\nAnswer: 4294904.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11349 and 1418334.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 2. Let d = -5 + t. Which is bigger: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(3*u - 2*u - 2*u) + 6*u - 9*u - 9*u.\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61 and -11.\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 410\/291 + -22\/291. Let r(h) be the second derivative of 0*h**2 + 0 + c*h**3 - h**4 - 23*h + 1\/5*h**5. Factor r(b).\nAnswer: 4*b*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 99, 28, -45, -120, -197, -276?\n\"Answer: -n**2 - 68*n + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -61*j**3 - 3*j - 2. Suppose 3 + 3 = -6*z. Is c(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 12:06 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1150234 + -152?\nAnswer: -1150416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/4 and 21\/608?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1364128 + -1623?\nAnswer: 1362405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 1.9763. Round v to three decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/((-189)\/(-243)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (27\/6 + -1)*2. Let q = -5 + 2. Let h = q + z. Solve -j - 3*j = -h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128\/6*36897\/28112?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34678409*m**3 + 121585380 with respect to m.\nAnswer: -104035227*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**4\/12 + 2*v**3\/3 - 3*v**2\/2 + 2*v - 15. Determine d(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 14. Let y be m(-12). Let j be (-13)\/(-3) + 6\/9. Let z = y + j. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 + 121*k**2 + 59*k - 50. What is the remainder when 146 is divided by p(-60)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 9*c**2 - 3*c + 70. Let h(t) = -8*t**2 + 2*t - 66. What is 3*h(a) + 2*v(a)?\nAnswer: -6*a**2 - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*y**3\/8 + 168083*y**2\/8 - 6003*y\/2.\nAnswer: y*(y + 24012)*(7*y - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/18)\/((-3)\/(-1410)) + -3. Let z = i + 89. Does -149 = z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**14\/v*(v\/(v\/(v**(-22)\/v*v))*v)\/v*v)\/((v*v**25)\/((v\/v**(1\/15))\/v)))**(-46) assuming v is positive.\nAnswer: v**(23506\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 y when three letters picked without replacement from {y: 3, x: 5, j: 2, k: 2, w: 6, f: 1}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430599*b**2 + 36*b - 36*b.\nAnswer: -430599*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40*p**2 - 40*p**2 - 8*p**3)*((-3 + 1 + 3)*(p - 6*p + 4*p) + 0 + 0 + 2*p + 62 + 285*p - 62) to the form d*p + r*p**2 + g*p**4 + m*p**3 + h and give g.\nAnswer: -2288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 14284, 3 in descending order.\nAnswer: 14284, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-270)\/(-105) - 4\/7. Solve 3 = h*v - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*t = -2*v - 31, 0 = -4*t - 5*v - 18. Let f = t - -13. Let h(z) = 5*z - 12. Let u be h(3). Solve u = -c + f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*t - 2107 - 4448 = 0 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(-990*g**2 - 346906*g + 346906*g) + (-g + g + g)*(-3*g + 2*g - g) + 2*g**2 - 2*g**2 - 2*g**2 + g - g + 2*g**2 + 4 + g**2 - 4.\nAnswer: 1979*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 0, 0 = -r + 3*o - 0*o + 9. Let x be 8 + (-3 - -4)\/1. Calculate the highest common divisor of r and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 8*r**2 - 29*r + 13. Let v(u) = -u**2 - 3*u - 1. Let c(g) = -4*v(g) + z(g). List the prime factors of c(-10).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -11, 2, 0.4 in descending order.\nAnswer: 2, 0.4, -0.3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -8 in descending order.\nAnswer: 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-90) + (-522)\/(-45) + (-58)\/2\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -202 + 193. Let g = s + 12. Let n = 3.2 - 2.8. Which is the third biggest value? (a) n (b) g (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 719 - 1433\/2. Let y be (-12)\/16 + 2\/4. Sort p, y, 50 in decreasing order.\nAnswer: 50, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 5. Let q be n(10). Suppose 4*z + q*o = 164005, -3*z + o - 6*o + 123005 = 0. Round z to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2, -4*x + 9*x + 942 = -3*u. Let m = x + 193. Solve m*r - 3*r + r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d - 13. Suppose 8*a - 7 = 9*a + o, 5*a + o = -43. Give j(a).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -65, -88, -111, -134, -157?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l + 15*l + 14*l - 34*l + 90.\nAnswer: 9*l + 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 + 0.02. Let w = 7 - 12. Put w, -2, k in increasing order.\nAnswer: w, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-42) + 136\/84. Suppose -r - 4 = -3*f - 15, -r + f = -5. Which is greater: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from {b: 3, a: 1, e: 6, x: 4, z: 1, t: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (130\/(-117))\/((-4)\/(-6))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40650)\/95 + (-18)\/(-12)*(-12)\/171. Is 1\/5 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185780033 by 185780033.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -322857*k*l**2 - k*l - k + 13*l**2 + 189023 wrt l.\nAnswer: -645714*k + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m. Let l(t) = -4*t + 4. Calculate w(l(x)).\nAnswer: -12*x + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 519*x + 8370.\nAnswer: 3*(x + 18)*(x + 155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4175186589 to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 6*i + 4. Let p be w(5). Let c = 50 + -55. Let t be (-10)\/(-10)*(-1)\/((-3)\/c). Is p less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56876 and 12926428?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0, -50, -1\/8, -3.\nAnswer: -50, -3, -1\/8, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i**2 - i - 80. Let w(n) = -8*n**2 - n - 76. Let s(r) = -7*l(r) + 6*w(r). Give s(0).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 c when three letters picked without replacement from {z: 2, i: 2, e: 1, c: 2, t: 1, j: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) + 2*sqrt(3159))\/sqrt(3) + (sqrt(130)*-2)\/sqrt(10) + -5)**2 - (-5 + (0 + sqrt(325) + 3 + -1*sqrt(325)*-5)**2).\nAnswer: -7922 - 350*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**4\/24 - 5*z**2. Let q(h) = -2*h + 1. What is -3*c(o) + 2*q(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 81 = -3*z + 229, 3*x + 4*z + 392 = 0. Calculate the common denominator of -17\/25 and ((-3)\/12)\/((-15)\/x*-2).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62371 - 8.1\nAnswer: 62362.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*d - 211 + 229 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o - 3*o - o. Let i(x) be the second derivative of x**4\/3 - 66*x - 1. Calculate q(i(p)).\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r = 1171 - 1132 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/21*(-7)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -99*j**3 - 394*j**2 + 503*j - 10.\nAnswer: -(j - 1)*(j + 5)*(99*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - q + 1. Let v be c(1). Let k(u) = -u + 4. Let g(n) = -1. Let w(z) = v*k(z) + 4*g(z). Let y be (24\/9 + -3)*-18. What is w(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24.1 and -0.009797.\nAnswer: 0.2361077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 - -138?\nAnswer: 14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*x - 1 + (-3 + 17 + 3)*(4*x - 6*x + 3*x) in the form m*x + k and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*(-2 + sqrt(833) + sqrt(833)) + 2 + 2 + sqrt(833).\nAnswer: -13 + 91*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120764417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-6 - -4) + 72\/(-33)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - (-14 - (19 + -98))) + (5 - -2).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32060 and 18219698.\nAnswer: 3206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 7, 6, -1, -14?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1212*w - 1197*w - 990. Calculate the highest common factor of 18546 and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3\/4, -0.4, -309.\nAnswer: -309, -3\/4, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 264530*t + 1957. Is j(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 11*w + 6. Let a(i) = i**2 + 3*i + 2. Let c be a(-2). Suppose c*b + 3*b = -33. What is the units digit of x(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2 - 68. Suppose -5*f + k = -59. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 183, -5, -2, 0, -3 in increasing order.\nAnswer: -5, -3, -2, 0, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/7711 - 377821\/69399. Calculate the common denominator of r and 71\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 1)*(-47)\/(-3). Find the second derivative of -35*w**4 - 4*w**4 + d*w - 87*w wrt w.\nAnswer: -468*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l - l + 1 + 7*l + 2*l + 0*l + 0*l + (0*l - l + 2*l)*(5 - 1 - 3) - l - l + 5*l to j*l + r and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48008*w**2*y**4 - 670*w**2*y**2 - 12*w**2 + 5*w*y + 5015*w - 2 wrt y.\nAnswer: -576096*w**2*y**2 - 1340*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 102 divided by 34\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-18)*(-1 - (-68)\/2). What is the highest common factor of 33 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 699, 701, 703, 705, 707?\n\"Answer: 2*n + 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-33 + 27 - (35 + 4 + 4)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025857633.\nAnswer: 19, 53992507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2*v - 5*v - 66, 4*l - 64 = 2*v. Suppose 13*z = 17*z - 20. Calculate the highest common factor of l and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/5*w**2 - 3*w - 1\/5*w**3 + 7\/5.\nAnswer: -(w - 7)*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1288576.05000053 - 1288576. Let q = 1853.95 - 1854. Let t = q + r. What is t rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by 1.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 3*l**2 - 1. Let q be i(-2). Suppose 0 = -2*h - 3*y + 4, 4*y + q = -13. Calculate the least common multiple of 30 and h.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8242 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4149 and -3536901890.\nAnswer: -3536897741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -1. Let l(m) be the second derivative of -m**4\/3 + 5*m**2\/2 + 1638*m. Let u be (-2)\/(9\/3 - 1). Give u*l(y) - 5*s(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 28*c**2 - 23*c - 12. Let t be h(27). Let j = 2 - -10. Let v = t + j. Does 27 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -29 - 40. Suppose u = 5*y - 4*a, -4*y - 2*a + a + 10 = 0. Suppose -y*l = -3*d + 3, -2*l - 3*d + 10 = -3. Solve x = 2 + l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 21159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.1398 (c) 0.7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 15068 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1347 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(132)*2)\/sqrt(12))**2 - ((sqrt(1584)*-1 - sqrt(1584))**2 - sqrt(11))).\nAnswer: -37752 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**2 - 9*j**2 + 3*j**2 + (j**2 + 3*j**2 - 5*j**2)*(4 - 9 - 23).\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*2 + sqrt(44) + ((sqrt(132)\/sqrt(3))**2 + sqrt(44))*-6.\nAnswer: -264 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.337 - -11.337. What is the nearest to p in 0, -0.66, -1\/3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d\/((d\/d**(-4))\/d)))\/((d*d**3)\/d))\/(d*d**1)**(-2\/23) assuming d is positive.\nAnswer: d**(50\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.13, 983, -5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roo when three letters picked without replacement from rboororoodbo?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*i + 8832, -10281 = -4*i - 2*j - 1479. List the prime factors of i.\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4508\/95312*16\/14.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 2*n - 42. Find the third derivative of -87*p**2 + 4*p**6 - 28*p**3 + 25*p**3 + 3*p**n wrt p.\nAnswer: 840*p**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + sqrt(10)\/sqrt(5) + sqrt(2) + sqrt(8) + -1 + sqrt(2) + 2 + -4 + 1.\nAnswer: -6 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -445 - -1189. Is 29 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 75014147 + 3?\nAnswer: 75014152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 10*o = 378 - 253, 3*o + 0*o = 10*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.54 from -7.39048.\nAnswer: -6.85048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 1. Let t(g) = -3*g - 15. Let m(z) = -2*i(z) + t(z). Let h be m(-2). Let u(l) = l**3 + 8*l**2 + 7*l - 7. Determine u(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 0 + 218 + -178 + -8\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 9*o**2 - 642*o + 11843. Calculate n(34).\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1868242893?\nAnswer: 3, 11, 56613421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11375 and 130?\nAnswer: 22750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 4\/5, -0.4 in descending order.\nAnswer: 32, 4\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - o**2 + 13*o + 7. Let s be c(-6). Let f = -159 - -645. Let k = s + f. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r. Let k(n) = n. Let s(p) = -p**3 + p**2 + 2*p + 1. Let o be s(-1). What is o*g(j) - 2*k(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/(-41) - (1 - 0))\/(-394 + 284464\/736).\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -3, 91, -0.03, -36\/5, -0.51?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -461565 in ascending order.\nAnswer: -461565, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31787 and 532.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 43. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8434?\nAnswer: 2, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*v + w, -8 + 23 = 3*v + 2*w. Suppose -x - 1 = v*p, -x - 2*x + 2*p - 3 = 0. Is (4 + -1*323)\/x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 5*f**2 + 7*f - 4. Let u be i(4). Let h = u - -43. Suppose -14 = x - h. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -277629, -555257, -832883, -1110507, -1388129, -1665749, -1943367?\nAnswer: -2220983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 254 - -211. Let a = -464.9999998156 + v. Round a to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.31 and 366.\nAnswer: 366.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**2 + q + 3. Let j(i) = i**3 - i**2 + 1. Let b(c) = 3*j(c) - l(c). What is the second derivative of b(n) wrt n?\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160209439?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 0.3, -1\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16162 and -1.33.\nAnswer: 0.2149546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a + 0*a + 5*a = 0. Let a*n - 2\/3*n**4 + 0 - 4\/15*n**2 - 14\/15*n**3 = 0. What is n?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/1825648 and -163\/734712?\nAnswer: 60246384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -24\/7, 4, -4\/53 in decreasing order.\nAnswer: 4, -4\/53, -24\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 403658927.3 to the nearest 10000.\nAnswer: 403660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1277640\/138411)\/((-8)\/78)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -1, 1 in ascending order.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = a - 5*j - 7, 0 = -4*a - 4*j + 188. Let d = 2655 + -2599. Calculate the highest common divisor of a and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - 3*m - 7*m**3 + 8*m**3 - 3*m**3 + 17. Is d(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 + -26)*380\/120?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1026261640 + 2?\nAnswer: -1026261636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13796 is divided by 274?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (0 + 6)) + 2. Let a = 1830 - 14673\/8. Calculate the common denominator of 2\/7 - 15\/i and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21255040 (base 7) in base 9?\nAnswer: 3361651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 232.024 - 188. Let i = 44 - j. Round i to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 6:33 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 3:22 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61720 is divided by 183?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**4*v*z - 20*m**3*v*z - 2*m**3*v - 2*m**2*v - 37*m**2*z wrt m?\nAnswer: -24*m*v*z - 120*v*z - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349*m - 6809147 = 3716352 + 3859234. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*a**2 - 83*a**2 - 94*a**2 - 67*a**2 + 41*a.\nAnswer: 4*a**2 + 41*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2748824 is divided by 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 788\/(-10835)*9910\/(-48) - 15?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8400801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 43 + 71*l**2 - 2*l**3 + 5*l**2 + 66*l - 130*l**2 + 3*l**3. What are the prime factors of y(53)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 216 (b) 0.3 (c) 3.1 (d) 257 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f**2 + 15*f - 47. Let i(p) = -19*p**2 + 45*p - 140. Let o(j) = 3*i(j) - 8*u(j). Find v, given that o(v) = 0.\nAnswer: 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 7*p**3\/6 - 5*p**2 + p - 3. Let i(s) be the first derivative of k(s). Is i(8) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -1 - (345 + -341).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 - 11*t**3 - 109 - 7*t**3.\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -10, 8 = 4*t - 3*u - 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3)*1)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 617688*m - 47692308168.\nAnswer: -2*(m - 154422)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*j = 20, 0 = 5*t + 2*j + 2*j + 25. Let m(y) = -5*y**2 - 7*y. Suppose f + 0*f = -4. Let k(r) = r**2 + r. Calculate f*k(c) + t*m(c).\nAnswer: c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6576 divided by -2192.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 44 + 16 = 0. Let k be 3\/10*((-16)\/g + -5). Let o = -3 - -4. Are o and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 15 = -3*g, 5*g + 30 = 5*z. Let j(a) = 4*a - 1. Let s be (1\/(-3))\/((-9)\/(-189)). Let i(u) = 9*u - 2. Calculate s*j(b) + z*i(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*u - 16*u + 6*u + (5 + 0 - 3)*(4 - 2*u - 4) - 3*u + 6*u - u - 2 + 2 - u to the form z + w*u and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3333213 - -1213?\nAnswer: -3332000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.1398 to two dps.\nAnswer: 9.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 + -63. Let c(l) = 2*l**2 + 2*l - 2 - l**2 + 2*l. Let q be c(-4). Is q > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -4425*z + 4417*z + 267, -v - 137 = -4*z - 0*v for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11682*b = -11660*b + 176 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i**4 - 1445*i**3 + 2445*i**2 - 495*i - 490 = 0.\nAnswer: -98, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 511, 510, 507, 502, 495, 486?\n\"Answer: -t**2 + 2*t + 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25629 - -308?\nAnswer: 25937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 o when four letters picked without replacement from oooloplpolpppl?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(4*i + 0*i - 2*i) + 4*i - 2*i - i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 3:03 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-13))\/((-24)\/(-5840)). Let p = s - -2785\/52. Let n = p - -58. Which is the smallest value? (a) n (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 10:49 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 119.648.\nAnswer: -35.8944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53362876 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -1\/4*y**4 + 15*y + 0 + 0*y**2 + 0*y**5 + 0*y**3 - 8\/15*y**6. Find the third derivative of a(d) wrt d.\nAnswer: -384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h + 12 = 4*n, -4*n = -5*h - 11. Let y(k) = 5*k**2 - 5*k + 2. Let m be y(3). Suppose -n*j + m = -2*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m + 143 + 149 - 443 + 151.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 19. Let j = z + 4. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 384 + -388. Which is the closest to 1\/4? (a) -3\/7 (b) -1\/3 (c) -1\/5 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1131)\/(-351) + ((-88)\/(-36))\/(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1236 divided by 309?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 111151175 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: Four letters picked without replacement from aabybbyb. Give prob of sequence babb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**9\/5040 + o**5\/30 + 17*o**4\/24 + 4*o**2. Let x(z) be the second derivative of a(z). Differentiate x(v) wrt v.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3090, -3082, -3066, -3036, -2986?\nAnswer: -2910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 + x**4 - 2*x**4 + (-x + 2 - 2)*(-2 + 2 - 2)*(-4*x**3 - 3*x**2 + 3*x**2) + 4*x**4 + 10*x**4 + 6*x**4.\nAnswer: 10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -266*k - 224 wrt k?\nAnswer: -266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49\/(-30) - 159\/(-106))*120\/(-9).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ucuucuc. Give prob of picking 3 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4 = -3*u + 6, 3*u + q = 16. Suppose 6*i - 5*i + 3*v = 14, -u*i = 4*v - 70. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 252.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 832 and 4286152.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/((n\/(n*n**8))\/n)*n)*n)\/n)\/(n*n**10))**(-2\/25)*(n**(-2\/13)*n\/(n\/((n**(-3)*n)\/n)))\/((n\/(n*n**3))\/n**1) assuming n is positive.\nAnswer: n**(821\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -13563 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36323 is divided by 367?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*m - 2883, -14415 = -5*h + 27*m - 23*m. Does 55 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 10*t**2 + 7*t. Let p(o) = -3*o**2 - 2*o. Let j(z) = -2*n(z) - 7*p(z). Let h(i) = 60*i. What is h(j(c))?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.429 weeks in nanoseconds?\nAnswer: 13565059200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**5\/30 - 29*f**4\/24 - 8*f**3\/3 + 1439*f**2. Determine z(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195434879 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g*k**2*u**3 - 33*g*u**2 + 21*k**2*u**3 - u**3 wrt g.\nAnswer: k**2*u**3 - 33*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.02, 6, 1, 1\/3, 531 in descending order.\nAnswer: 531, 6, 4, 1, 1\/3, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + 0.36. Let w = 4.3 - 0.3. Let l = w - 4.1. Which is the second biggest value? (a) p (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, b: 5, x: 8}. Give prob of sequence xb.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 19 = -2*a, -9 = 25596*a - 25593*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/161104 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*c**2 - 8*c - 78*c**2 - 23 + c**3 + 23 to q*c**2 + u*c + y + o*c**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 589, -0.2, 68, 3\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75991423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*k - 162*k - 1874*k**2 + 491*k - 163*k.\nAnswer: -1874*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/6 - 1129*i**2\/6 + 94468*i\/3 - 1233176.\nAnswer: -(i - 76)**2*(i + 1281)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 - 1)*(-16 - 7*c + 16) + 0 + 0 + c)*(2*c**3 - 2*c**3 - c**3) - 3*c**2 + c**4 + 3*c**2 + (3 - 2*c**4 - 3)*(-5 + 2 + 5).\nAnswer: 10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200511478?\nAnswer: 2, 100255739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, 0.3, -6, 3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7108874, -7108873, -7108872, -7108871, -7108870, -7108869?\n\"Answer: b - 7108875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -149 at least -444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 45 = 3*o, -t = 2*o + o - 35. Let i = 174 + -159. What is the smallest common multiple of t and -2*1\/10 - (-333)\/i?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 426215 - 426215 - 148*u**2 - 247*u**3 - 43*u**3 wrt u?\nAnswer: -1740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 3*d + 2. Let p be i(-3). Let m = 30 + p. Is 13 a factor of m + 2\/2*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 7*s**2 - 7*s + 8. Let x be n(6). Let u(z) = x*z**2 + 138*z - 138*z. Let g(w) = -8*w. Determine g(u(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12e8 + -45?\nAnswer: 12a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4528*y**4 + 1212*y**3 - 84992683*y**2.\nAnswer: 108672*y + 7272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a millimeter in micrometers?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/80 and -43\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.82? (a) 0 (b) 4 (c) 0.1 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*f**2 + 45*f**2 + 63*f**2 - 138*f**2.\nAnswer: 43*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 137500655 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 133 * 97.\nAnswer: 12901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 1\/((-2)\/(-18)). Suppose -8*c = -s*c - 9. Calculate the lowest common multiple of 10 and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370.51 take away 5396024?\nAnswer: -5395653.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -202560, -202570, -202580?\n\"Answer: -10*y - 202550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/13*206\/(-515)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101278 by -1.\nAnswer: 101278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as -311\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 27*o - 53. Calculate b(29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Suppose g + 31 = 3*h. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11049758 rounded to the nearest one thousand?\nAnswer: 11050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -285, -564, -843, -1122, -1401, -1680?\n\"Answer: -279*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 9*l + 10. Let f be i(-8). Suppose -f*y = 4, -m + 3*y = m - 38. Suppose h = m + 8. Calculate the highest common divisor of 24 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(27) + sqrt(3))**2 + sqrt(3) - -6*-1*sqrt(3).\nAnswer: -5*sqrt(3) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 177?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*g - 55292 = 4324. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 7:19 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 + x + 2. Let r be s(-1). Suppose d - 4*m - 34 = -2*d, d + 2*m = -2. Suppose -6*g = -r*g - d. Solve 3 - 1 = -4*h + 3*c, 5*h + g*c = 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61334 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 12, -k + 3*a - 2*a = -12. Let p be (48\/(-9))\/((-3)\/k). Suppose 4*x - p = -m, 3 = 2*x - 5. Solve m = -0*r + 4*r - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0131292km to centimeters.\nAnswer: 1312.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/21 and -5\/234?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/58 and 47\/4.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45376 and 99969?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is -17.076299 rounded to 0 dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 816 and 25041.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -17*k**4\/12 - 7*k**3\/6 - 17*k**2. Find the first derivative of s(n) wrt n.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74068.\nAnswer: 2, 18517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 2:22 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 8*w - 3. Is v(11) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(468)*3)**2*2.\nAnswer: 72*sqrt(13) + 8426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1656)\/60 + 27 - 472\/5 - (34 - 46).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -10*g - 48. Let x = -2571 + 2566. Give d(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -37, -4 in descending order.\nAnswer: -4, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (287*z**4 + 7*z**4 + 173*z**4)*(-2*z + 5*z + 0*z)*(5 - 3 - 1).\nAnswer: 1401*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (240\/(-200))\/((-135)\/(-50))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 61*h**2 + 4 + 38*h**2 - 9*h**3 + 8*h**3 - 101*h**2. What is k(3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-462)\/245 + -10?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1040, -2789, -5714, -9815, -15092?\n\"Answer: -588*v**2 + 15*v - 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5 = 9. Let k = i - 5. What is the highest common divisor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*f + 340*f - 3 + 3.\nAnswer: 420*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1191984783.\nAnswer: 3, 11, 3299, 10949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 3\/4*w**2 - 1\/4*w**3 + 9\/4*w - 29. Suppose x(y) = 0. Calculate y.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25550264657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.1374 to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 814 + -821. Let a be ((-4)\/(12\/(-9)))\/((-21)\/t). Let i = -4065\/11 + 371. Which is bigger: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5805 - 5805 - 3*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a - 1. Let h be v(-1). Suppose 0*g + 3*w = -3*g, h*g = 3*w + 28. Is 1\/4 - (-91)\/g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/69248591 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 27216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-2 - -5) - 3. Suppose h = 2*l - l. Find c such that -l*c - c + 2*c**2 + 3*c**3 + c**2 - 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 11385\/6881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101 - 0?\nAnswer: 110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + (sqrt(2) - sqrt(2)*2).\nAnswer: -3 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - i = -7, 2 = 13*s - 15*s + 2*i. Which is the second smallest value? (a) 1 (b) -0.7 (c) 20 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -8*i**3 - 798*i**2 + 1004*i - 627. What is o(-101)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)*k**4\/k)\/(k**0*k\/(k*k**(-1)\/k)) assuming k is positive.\nAnswer: 1\/k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 27 = -o + 6*n, 0 = -3*n + 3. Let l = o - -34. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/27526048 and -127\/48170584?\nAnswer: 192682336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 21556100 to the nearest 100000.\nAnswer: 21600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13.38 and -0.9214?\nAnswer: -12.328332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*sqrt(75).\nAnswer: -10*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2837655, 5675311, 8512967, 11350623?\n\"Answer: 2837656*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 4507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/6414 and -101\/226.\nAnswer: 724782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, 2\/31, -104\/5, 0, 0.29?\nAnswer: -104\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29, -24, -19?\n\"Answer: 5*g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -377*h**2*m**3*t + 246323*h**2*m*t + h**2*t**2 + 109599*m**3*t**2 - 169*m**2*t**2 wrt m?\nAnswer: -2262*h**2*t + 657594*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7455?\nAnswer: 3, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Suppose 2*g = i*m + 10, -5*m = -4*g - 3*m + 20. Sort 4, g, 0.\nAnswer: 0, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -105038160 and 332.91.\nAnswer: -105037827.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/j**(-1)*j*j)\/(j*j*j**(2\/5)))\/(j\/j**(-4\/3)*(j*j**(3\/2))\/j))\/((j**(-5)*j*j\/j**(1\/3))\/j**29) assuming j is positive.\nAnswer: j**(311\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, g: 15}. Give prob of sequence ggmm.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32764 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522*f + 131*f + 7296 = -2479 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 306450 * 0.5\nAnswer: 153225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k**3 - 19*k**2 - 6*k - 3. Let f(r) = 6*r**3 + 18*r**2 + 4*r + 2. Give -3*f(o) - 2*q(o).\nAnswer: -6*o**3 - 16*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -476531300 to the nearest one million.\nAnswer: -477000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arrttrt. Give prob of picking 2 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3141912 and -4.\nAnswer: -3141916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-273)\/12)\/((7 + -10)\/102)*2. Suppose -i - o - 3*o + 29 = 0, 3*i - 47 = -2*o. Suppose -i*d + r = -0*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667872 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78.6241808 + -79.0641. Let d = -121.5594508 + y. Let i = -122 - d. Round i to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 + 12498*a + 4 + 10 - 12490*a to the form w*a**3 + k*a**2 + i*a + x and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28\/3, -1\/5, 2\/13 in descending order.\nAnswer: 28\/3, 2\/13, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/7191 and 31\/45.\nAnswer: 35955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s**2 - 9*s + 2. Let a(x) = 5*x**2 + 8*x - 1. Let v(k) = -6*a(k) - 5*j(k). Let h(c) = c**2 + 1. What is 4*h(l) + v(l)?\nAnswer: -l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6 - (-4)\/3. Factor b + n**2 - 35*n - 37*n + 69*n.\nAnswer: (n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.13 + 5.13. Suppose 5*p - 3*q = -11, 39*q - 44*q = -2*p - 12. Put 1, -0.1, p, t in decreasing order.\nAnswer: t, 1, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 188 = -117. Let g be 1\/2 + f\/2. Let o = -69 - g. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 7 - 13. Let f be (-2 - 1) + w\/2. Solve -f*l = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 6*v**2 + 7*v - 6. Let l be q(5). Suppose l*x + u = -5, 3 + 0 = -3*u. Which is the biggest value? (a) 4 (b) 0.3 (c) 0.08 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 - 3) + 7 + -12 + 3. Let p(i) = i**2 + 3*i - 2. Let v be p(-4). Let m(g) = 7 + g**2 - 6*g + v*g - 3*g. What is m(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32*(-21)\/7056*(-18)\/1.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (-11 + (7 - 25 - -12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*i = -2824496 - 2414816. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 + -4347?\nAnswer: -4327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 9:28 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201102120100 (base 3) to base 7.\nAnswer: 3151620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 11 = 2*r. Let k = -1.38 - -1.18. Which is the closest to k? (a) 0.3 (b) 3\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -221 (b) -3 (c) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 1:38 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1079.34, -43.7, -1\/4 in descending order.\nAnswer: -1\/4, -43.7, -1079.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/12*(-99)\/(-6). Suppose 2*q = -5*v - q - 2, -5*q - c = -v. Find the second derivative of -k**4 + v*k - 2*k**4 + 0*k**4 wrt k.\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.01 + -12. Let g = p + 0.09. Let h = g - 0.6. Is h < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29897858\/7 or 4271124?\nAnswer: 29897858\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000 + -110000111001111111?\nAnswer: -110000111011010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 3*z - 275, 3*b - 8*b - 4*z + 275 = 0. Suppose 8*l = 17*l - 126. What is the remainder when b is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1107*r + 630 = 1037*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62 + 39 - 88) + 56?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -3) + -1 + -67 + 113 + -8?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmwmmxwxmvmmcwwixc. What is prob of sequence vxxx?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 1) + (-12 - -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + o + 1. Let q(y) = 5*y**2 + 1. Let a(h) = q(h) - 6*t(h). Let x be a(-5). What is the remainder when 3 is divided by 1 + x + (2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 6128 = -2*z + 2*j, -4*z - 2*j + 12250 = 0. Suppose -7*s - 1949 = z. Find the common denominator of -27\/5 and s\/120 + 8\/12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 2. Let t be a(-2). Let v be 8 - 5\/(5\/3). Let w(z) = 2*z - 9*z + v*z + 5. Determine w(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15636*r**2 + r - 2*r - 14632*r**2 + 0*r.\nAnswer: 1004*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/45276 and -41\/293608.\nAnswer: 9689064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*r - 26. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -14.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*j - 20 = 116*j. What is the remainder when 279 is divided by 14*((-30)\/(-4) + j)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 12*p = 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -8.093992?\nAnswer: 8.593992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3065157533?\nAnswer: 53, 103, 251, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(264)*-2)\/sqrt(6))\/sqrt(2))\/(sqrt(11) + -4*(-1*sqrt(11) + sqrt(11)) - -4*(2*sqrt(11) + sqrt(11))).\nAnswer: -2*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 63, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -346231, -346229, -346227?\n\"Answer: 2*w - 346233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = r + 32. Let g be 36\/r*8\/6. Let b(x) = -4*x - 5. Let i be b(-5). Calculate the highest common divisor of i and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 3. Let d be v(2). Let x = d + 7. Suppose 4*s - x = s. Solve k = -2*k + s*a + 19, 0 = -4*k + a + 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 102*w + 357. Let i(n) = 15*n + 51. Give 27*i(g) - 4*t(g).\nAnswer: -3*g - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13939340 minus 5724.9?\nAnswer: -13945064.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-33))\/((-2)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*u + 0*u + 0*u)*(11*u**3 + 668 - 668) + 3*u**4 + 9*u - 9*u)*((u - 2 + 2)*(-2 + 7 - 1) + (-2 + 1 + 0)*(-2*u + 3*u + u)).\nAnswer: -38*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -6 - -27) + -14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 870, 868, 866, 864, 862, 860?\n\"Answer: -2*v + 872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 7\/(56\/48). Let t(n) be the second derivative of -1\/15*n**s + 0*n**2 + 0*n**3 + 6*n + 1\/45*n**6 + 0 + 1\/18*n**4. Solve t(o) = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 - 141\/2. Find the common denominator of n and 121\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 2, 0.04, 2\/5, 0.01, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 1\/6*j**3 - 4*j**2 + 0 - 1\/120*j**6 - 1\/12*j**5 - 1\/6*j**4 + 0*j. Let o be q(-3). What is the closest to -0.1 in o, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 13, -23, -83, -173?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 193*r - 904. List the prime factors of c(41).\nAnswer: 43, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a litre in millilitres?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1008 and 30\/119.\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 163157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 take away 14762.6864?\nAnswer: -14760.5864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n. Let q(j) = -j. Let x = -87 + 82. Give x*k(l) - 20*q(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 3*i + 15 = 2*k, k - 2*i = -10. Solve -5*b + 5 = -5*y - k*b, -4 = -b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 3*n + 1. Suppose -5*u = -3*u + 6. Give c(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-10096200.\nAnswer: -20192400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 823*d**4*o + 2*d**4 + d**3*u**2 + 1252*d**2*o*u**2 - 7*d*o*u**2 - o wrt d.\nAnswer: 19752*d*o + 48*d + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1888880156.\nAnswer: 2, 4091, 115429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61087 = 10*f - 44083. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 47?\nAnswer: 18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2135.1 + -117?\nAnswer: 2018.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9*d**2. Let w = -9953 + 9953. Let j(u) be the second derivative of -1\/2*u**3 + w - 16*u + 0*u**2. Calculate j(q(h)).\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3 (b) 32.1 (c) -8 (d) -1\/5 (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -790973?\nAnswer: 790977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8.8? (a) 4\/7 (b) -2\/3 (c) -2\/19 (d) 37 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.4 + -17. Let f = -1.5 - -2. Let p = 13 - 8. What is the second biggest value in z, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 + -70. Suppose -3*g - 3*i + l*i - 11 = 0, -4*i + 14 = -2*g. Let n(t) = -9*t + 4. Give n(g).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsjjjjjsjj. Give prob of sequence jss.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27*50\/30 - (4 + 6)) + -10?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5 - 3. Let k = -4 + 6. Let d(v) = -v + 0 - k*v + 2. What is d(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118292263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000110110000001000 (base 2) to base 10.\nAnswer: 1076232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**6\/15 - 31*v**5\/20 - 4*v**3 - 16*v + 1. What is the second derivative of b(l) wrt l?\nAnswer: 24*l**2 - 186*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-21)\/35)\/(8\/(-80)). What is the third biggest value in -4\/5, -3\/2, a?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyhyhhhyyyyhhyhhyyhh. Give prob of sequence hhhy.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (39\/9)\/(-13)*408\/8\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -38. What is the closest to 0 in 0, b, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 56923.63 years?\nAnswer: 683083.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 28*z**5\/45 + 16*z**4\/9 + 44*z**3\/27 + 4*z**2\/9 + 56. Determine a so that h(a) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11591376*u**2 + 11591381*u**2 - 2417*u + 2417*u.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2825, 5500, 8189, 10898, 13633, 16400, 19205?\nAnswer: 22054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2. Let b(p) = 1201823*p + 6. Give b(y(q)).\nAnswer: -3605469*q**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 555*n**2 + 575*n + 20 = 0.\nAnswer: -1, -4\/111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j = -8. Suppose -5*b - 15 + 80 = 0. Suppose p + 4 - b = -5*z, -3*p + 7 = -5*z. Solve 5*a - s + p*s = 15, -2*a = -j*s - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 56*h - 2 + 2 = 25*h + 26*h, 6*g - 4*g + h = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10424239, -10424217, -10424173, -10424101, -10423995?\n\"Answer: t**3 + 5*t**2 - 10424245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or 68825?\nAnswer: 68825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2132188288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, r: 1, p: 4, q: 1, y: 4}. Give prob of sequence pry.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*n = -79*n - 42. What is the remainder when (-2)\/n - (221\/(-3) - 2) is divided by 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10486*z - 7109*z + 4139*z - 9154*z - 5358*z to l*z + y and give l.\nAnswer: -27968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/63)\/((37\/(-111))\/(5\/(-90)*-119)).\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -117*s - 260. Let u be q(-31). Let y = -978 + u. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**3\/3 + x**2\/2 - 45*x - 58. Let r be q(6). Let z(w) be the third derivative of -w**4\/4 - 2*w**3\/3 + 2*w**2. What is z(r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17805*l + 17805*l - 4*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 471*h**2 - 3031*h - 6737. Differentiate g(i) wrt i.\nAnswer: 942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven eighths of a millisecond?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/28)\/((-2)\/(-21))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.5 - 5.5. Let q = 7 + -12. Suppose 4*d = g + g + 8, -2*d + 5*g - 4 = 0. Which is the second smallest value? (a) d (b) h (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63424*k + 21531 wrt k.\nAnswer: -63424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*1 - (16002\/399 + -31)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -490.9435 + -0.0565. Let g = z + 386. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.077 + 63.923. Let p = i - 48. Let k = 0.1 + -0.3. Put p, k, 5 in descending order.\nAnswer: p, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 36. Let n = -3 + -1. Which is the closest to i? (a) n (b) -3\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -27 + 45 - -6 - 0.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*g + 4 = 8*g, 3*y + g = 6. Let m(x) = 7*x**2 - 38 - 12*x**y + 40 + x**3 - 2*x. Suppose 0 = -0*i + 4*i + 5*k - 25, -2*i + 9 = -k. Determine m(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/34 and -13\/108.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12358316 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 6*a - 5. Suppose 8*g - 35 = 3*g. Let u be b(g). Solve -u*q + 0*q = 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - z - 3*z)*(13*z**4 + 19*z**3 - 19*z**3).\nAnswer: -65*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71830 - 40132 = -450*i - 808*i for i.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66041?\nAnswer: 66041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, k: 5}. What is prob of sequence vk?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 29*l**2 - 848*l. Let h(s) = 95*s**2 - 2555*s. Let d(m) = -3*h(m) + 10*k(m). Factor d(w).\nAnswer: 5*w*(w - 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, w: 3}. Give prob of sequence waw.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 7*p - 7. Let i be q(-2). Solve 0 = -i*s + a + 8, 0 = 3*s - 6*s + 4*a + 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b + 9. Let r(s) = 3*s + 10. Let l(o) = -3*h(o) + 2*r(o). Give l(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2684, 2674, 2650, 2606, 2536?\n\"Answer: -i**3 - i**2 + 2686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 6*o**2 + 9*o + 9. Calculate x(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -24. Let d(a) be the second derivative of a**5\/20 + 3*a**4\/4 + 5*a**3\/3 + a**2\/2 - 11350*a. Give d(l).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 55798, 111560, 167322, 223084, 278846, 334608?\n\"Answer: 55762*v + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 861 = 7*f. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**2 + 4*f - 4. Let b be g(3). Let p = b + 49. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17263352317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d - 54. Let k(f) = 4*f - 27. Give -11*k(i) + 6*p(i).\nAnswer: -2*i - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*f + 295*f + 291*f + 280*f - 1132*f.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-44))\/(3\/12). Let x be 189524\/995094 - 2\/9. Let l = x + -2\/937. Which is the biggest value? (a) l (b) -1\/2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (171*t - 229*t - 300*t)*(-t**4 + 5*t**4 - 3*t**4) + 0*t**2 + 0*t**2 + 2*t**5.\nAnswer: -356*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2. Let b(f) = 1521*f. Give b(d(x)).\nAnswer: -1521*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 3:13 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.092 + 0.133. Let g = l + 0.659. What is the third smallest value in 0, 0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 189*y - 20*y + 71*y. Let g be x(3). What is g rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c**4 + 63*c**2 - 11198*c - 11271*c + 22470*c + 1 in the form g*c**4 + k*c + u*c**3 + l*c**2 + m and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m + 0*m - m)*(4*m + 13*m - 12*m)*(5 - 4 - 2) in the form i + o*m + x*m**2 and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*u - 2)*(3*u + 254 - 489 + 246).\nAnswer: 6*u**2 + 22*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -711 = -26*u + 105*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 519325.3cm to kilometers.\nAnswer: 5.193253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 70*3\/12*-40. What is j rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 9:53 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -38048 and -45.5993.\nAnswer: -38093.5993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 88 = -2*s - 2*w, 5*w = 3*s + 145. Let m be (s\/12 - -3)*4. What is the units digit of (-456)\/(-15) + m\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t. Let a(b) be the second derivative of 0 + 0*b**2 + 0*b**3 - 13\/12*b**4 + 21*b. What is g(a(w))?\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 - -46. Let i be f\/10 - (-6)\/(-15). Let q be (-52)\/(-30) + i\/10. Put q, 0, -4 in ascending order.\nAnswer: -4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h**2. Let z(c) = 21*c. Let v(y) = -5*y. Let d(g) = -26*v(g) - 6*z(g). Determine d(m(n)).\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*u, -17*u = -2*n - 19*u - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + 4 - 6*i**3 + i + 3*i**2 - i**2 + 4*i**3 as y*i**3 + q*i**2 + u*i + d and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -205, 4 in decreasing order.\nAnswer: 4, 2, 1, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 e when four letters picked without replacement from {m: 4, t: 2, e: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d**2 - 26*d**2 - 30*d**2)*(7*d + 0*d + d) - 2*d**3 + 6*d**3 - 3*d**3.\nAnswer: -511*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1885\/130065)\/((-2)\/(-24)).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-14)*198\/132*28\/12\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -455 - -268475?\nAnswer: 268020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -15. Which is the nearest to 0.2? (a) q (b) -1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(102) - sqrt(102)))\/sqrt(6) - ((sqrt(408) - sqrt(408)*1)\/sqrt(8))\/sqrt(3).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/5, 20, 0.1 in increasing order.\nAnswer: 0.1, 2\/5, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -121 in -1, 1\/22, 4\/5, -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/14 + (-120)\/(-56). Suppose 0 = -y - 0*y - l, 5*f + 4*y = 217. Calculate the greatest common divisor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 11) to base 14\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (4 + (-9 - -3)). Suppose r*c = 2*l + 2*l + 566, 5*l = -c + 195. Factor 2*x**2 + 0*x**2 + 12 + x**2 - 175*x + c*x.\nAnswer: 3*(x + 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/8 of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17045579930 rounded to the nearest one hundred thousand?\nAnswer: 17045600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1695)\/21 - 14\/49. Let r = -31 - c. Calculate the least common multiple of r and 45.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 149, 210, 271, 332?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*m**5 - m**3 + 11*m**2 + 34215*m?\nAnswer: -600*m**3 - 6*m + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbklblblkblwlzkblw. Give prob of sequence zbw.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621201448?\nAnswer: 2, 19, 10665799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23622 - 425309\/18. Let i = 1520369\/30 - 50684. Find the common denominator of i and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -5 (c) -1 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0238 + 37.7762. Let s = -55 + j. Round s to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j - 4. Let c be i(7). Let b(k) = -3*k**3 + 6*k**2. Suppose -2*z + 13 = 1. Let q(x) = 9*x**3 - 17*x**2. Give c*b(d) + z*q(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 + b**3 - 4*b**3 + (b - 1 + 1)*(-4*b + 4*b - 2*b**2) - 2*b**3 + b**3 + 0*b**3 + 4*b**2 + 111*b + 2*b**2 - 307*b**3 + 306*b**3.\nAnswer: -5*b**3 + 6*b**2 + 111*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -3. Suppose -11 = -3*l - 2*v, 10*v + 13 = -l + 6*v. Is (-3238)\/g - (7\/3)\/l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**5\/40 - 3*g**4\/32 + g**3\/8 - g**2\/16 - 3*g + 8. Let m(s) be the first derivative of k(s). Factor m(u).\nAnswer: (u - 1)**2*(4*u - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.9337592 to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, j: 4, x: 5}. Give prob of sequence xxj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1971 - 2017. Is b < -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15884 divided by 19.\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 17. Let k be x(-5). Let b be 2*2\/k*3. Let p = 10 + -6. Which is bigger: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1264 = 87*v + 307 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 10*c - 11. Is 9 a factor of m(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10858773361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2583\/10 - -4012\/15. What is the common denominator of (-1)\/2 + (-88)\/12 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b + 986. Let h(a) = -a - 329. Calculate 8*h(l) + 3*z(l).\nAnswer: l + 326","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.103 - -0.103. What is the closest to -4 in v, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Let o(q) be the third derivative of q**5\/120 - q**4\/6 + q**3\/6 - 2*q**2. Let k(c) be the first derivative of o(c). Give k(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.405 + 0.435. Let v = n - 1.34. Which is the third biggest value? (a) -0.5 (b) 19 (c) -1 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - m**2 + m + 659. What is the units digit of t(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 less than 471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 141*j**2 + 5*j - 11. Let a(h) = -142*h**2 - 6*h + 11. Let u(i) = -2*a(i) - 3*k(i). Find the second derivative of u(o) wrt o.\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 653 - 2013 = 68*j for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 21ee1?\nAnswer: 21edd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**34*(u*u\/((u**5\/u)\/u*u*u))\/(((u\/(u\/u**(-2\/9)*u))\/u)\/u) assuming u is positive.\nAnswer: u**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 10 + 3 + -5 - -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42\/9*3\/(-2). Suppose 6*y = 8*y + 12. Let h(t) = -5*t + 1. Let a(f) = 6*f - 2. Let v(b) = k*h(b) + y*a(b). Let o(q) = q - 4. Determine -3*o(n) - 2*v(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0*y + 5*y + 10, -3*o - y = 30. Let r(x) = -5*x + 10 - 4*x**3 + 10*x**2 + 5*x**3 - 5. What is the remainder when r(o) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -274.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 plus -1413?\nAnswer: -1413.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6055733*j**4 + 5564223*j**2 wrt j?\nAnswer: 145337592*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 34 = 6*f - 7. Let o(n) = 21*n - 25. Let b(p) = 11*p - 13. Let i(v) = 5*b(v) - 2*o(v). List the prime factors of i(f).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 5 (c) -2\/3 (d) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1672 - -1672.4. What is the fourth smallest value in i, 0, 12\/7, -0.1?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3421 = 29*i - 9451 + 4145 for i.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y + 25 = 0. What is the greatest common factor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -360, -702, -1094, -1554, -2100, -2750, -3522?\nAnswer: -4434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*h - 5, 0 = 2*h - 3*w + 3 - 4. Is 0 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**3\/3 + 49*j**2\/3 + 208*j + 192 = 0.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.0329 (b) 1\/5 (c) -5 (d) 2\/27 (e) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*t - 6. Let y(a) = -7*a - 2. Let r be 2*1 + -3 + 5. Let f(g) = -5*g + g - r - 11*g. What is t*f(n) - 13*y(n)?\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(76) - sqrt(76)*-1) - sqrt(76)*-1*3)\/(-5*(sqrt(196) - sqrt(4))*2) + 5.\nAnswer: -3*sqrt(19)\/20 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w - 290336*w**2 + 4*w + 5 + 290335*w**2. Let l(u) = -u**2 - 1. Calculate -3*l(r) - z(r).\nAnswer: 4*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 * -15533\nAnswer: -27959.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6168*l + 135367 + 66116 = -125421 for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.2 + -18.2. Let n be ((-2)\/3)\/(2\/12). Suppose 2*m + 6 = 5*m. Which is the second smallest value? (a) n (b) m (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 - 245 = -38*i. Solve 4*t - i = -16 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**5\/60 + 11*a**4\/24 - 3*a**3 + 129*a**2. Solve z(j) = 0.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/10*-8)\/(1 - -1). Solve -n*v = 5*x - 4*v - 11, 0 = 5*x - 4*v - 17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 996 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 2)\/(1\/4). Let y = u - -14. Suppose -y = -3*b, -18 = -2*n + 2*b - 4*b. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 121112 = -19268. Is 123 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 41 = 27. Let x = 10 + l. Do -5 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 378, 821, 1340, 1935, 2606, 3353?\nAnswer: 4176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 60*l + 28. Solve 3*m = 0, 15 = l*y - 0*m - m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2184 = 82*q. What is the highest common divisor of q and 7618?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*(2 + (5*(-2*sqrt(65) + sqrt(65)))\/(sqrt(720)*1)).\nAnswer: -5*sqrt(13)\/12 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 5:44 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(4\/13)\/(x*x\/(x*x**(-23))*x)*(x**(-7)\/x)\/((x\/(x*x**3))\/x*x) assuming x is positive.\nAnswer: x**(-386\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 293456, 0.2, -3 in ascending order.\nAnswer: -3, 0.2, 293456","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -466*m - 32 = -462*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**5\/30 - o**4\/2 - 5*o**3\/3 + 24*o**2. Let t be h(-5). Suppose 1070 = 10*d - t*d. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/8)*t*t**(-24))\/(t**(-2\/57)\/t**(1\/3)) assuming t is positive.\nAnswer: t**(-3269\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 - 4*u**4 + 3*u**2)*(16*u - 8*u - 6*u).\nAnswer: -8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((g**3 + 0*g**3 + g**3)*(-2*g + 0 + 0) + (-5*g**2 + 4*g**2 + 2*g**2)*(g**2 + 0*g**2 + g**2) - 2*g**4 - g**4 + 0*g**4)*(3*g + 5*g + 2*g)*(2 + 1 - 1).\nAnswer: -100*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109 - -76. Let t be 80\/198 + 6\/x. Which is bigger: -0.1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1149*v + 365324. Calculate d(-318).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190 and 530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or -699?\nAnswer: -699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 3\/4, -3, 1, 3\/11, -0.09, -1\/5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**4\/12 + 5*v**3\/6 + 7*v**2. Let c be w(-5). What is the highest common factor of 165 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 2000.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fufdffufrrfff. Give prob of picking 1 d and 1 r.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p + 27. Let k be q(-6). Let w = 8 + -2. Suppose w*o + 5*v = 3*o + 345, 0 = -v - k. What is the highest common factor of o and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/(-266))\/(33\/154)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 0, 4*d + 12 = -4*m - 8. Let b = -200 + 199. Sort b, m, 5.\nAnswer: m, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -202 - 102?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6261656 (base 7) to base 10\nAnswer: 754592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 6*n**2 - 8*n - 6. Let t be i(-4). Let g(w) = -4*w - 5. List the prime factors of g(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*b = -12, 5*k + 2 = 2*b - 6. Suppose 2*n - n + 4 = -4*v, k = -2*v + 2. Let o be n\/6*126\/(-12). What is the greatest common factor of 70 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 16*i**2 + 3107*i + 687. What is r(-194)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6, -14, -72, -186, -374, -654?\n\"Answer: -3*q**3 - q**2 + 4*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = f - 8. Let w = f + -2. Does w = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 103\/2 (b) 2\/5 (c) -1\/4 (d) 1\/8 (e) -35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 3*o. Let q(h) = 43*h**2 + 83*h + 4. Let b(n) = -2*q(n) + 10*s(n). Factor b(m).\nAnswer: -4*(m + 2)*(24*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 4*x - 5*x)*(0 - 9 + 2)*(0 + 0 + 1).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((55 - (13 - -19)) + (0 - 1))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 - 2*z + 9. Let w be b(8). Suppose 2*g = 3*d + 186, -3*g - 3*d = -0*d - w. Let x = -58 + g. Solve 2*f + x = 4*c + 7, 0 = f + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2032245 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4110986040 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 123135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -6*m + 3472. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 - 3314.5235.\nAnswer: -3271.5235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*b**3 + 90*b**3 + 28*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -60848331 - 0.826\nAnswer: -60848331.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**3\/7 + 1242484*b**2\/7 + 12424540*b\/7 + 4437300 = 0. What is b?\nAnswer: -310611, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 4*k**2 - 4*k - 2. Let m be q(5). Suppose -j + m*j = -120. Let l be 32\/j + (-1)\/(-3). Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/2*-1 + 4. Suppose 3*p = 7 - s. Solve -3*v + p*v + 4 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49 (base 16) to base 12.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*c**2 - c**2 + 30*c**2 + (-c + 0*c - 3*c + (c - 3*c - c)*(-7 + 3 + 2))*(c - 4*c + 2*c) to h + q*c + o*c**2 and give o.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*m + 3, 4*m - 11 - 4 = -5*v. Let g = 3288 + -3287. Suppose -x - g = j, -20 = -4*j - v*x + 5*x. Calculate the highest common divisor of j and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*h + 25, 5*i - 62 + 87 = -h. Let v(c) = 3*c**2 - 2*c**2 - 4*c + 5*c. Let b(s) = s**2 - 5*s. Give i*v(o) - b(o).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1884813)\/(-63)*(-48)\/(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 325, 327, 329, 331, 333, 335?\n\"Answer: 2*n + 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 62, 66, 70?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2505 - -1082?\nAnswer: 3587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -35*u + 292. Let t be s(8). Solve -t = -3*q + 3*n, -3*q + 4*n = -5*q - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 17 = 3*y, p - 17 = 4*y + 4*p. Suppose -4*s + 4*c = -8, -3*s + 4*s = 2*c + 4. Let i(f) = -f**3 + s - f - 98*f**2 - 4 + 93*f**2. Determine i(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20591 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**3 + 80*l**2 - l + 15. What is r(20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c5149 (base 13) to base 15.\nAnswer: e4d45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 4) to base 10.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 544469294 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.733 to one dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - 21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f + 198 - 198)*(1 - 3 + 3 + 0 - 1 + 2 + (4 - 4 + 2)*(0 - 3 + 5) - 4 + 3 + 2).\nAnswer: 35*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -6, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + 1 + sqrt(1008) + -5 - (sqrt(63)\/(sqrt(90)\/(sqrt(40)\/sqrt(4))))**2.\nAnswer: -11 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37336895*w**6 + 3*w**2 + 1627448*w.\nAnswer: 4480427400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6386785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2))\/(4\/(-16)). Let u = -35 - -4. Does 16 divide 0 + (-2)\/c - u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -235 + 229. What is the third biggest value in 1\/5, 3\/4, -2\/7, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*m**2\/4 + 573*m\/4 - 81\/2 = 0. Calculate m.\nAnswer: 2\/7, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 212388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 3*x + 3*x**2 + x**2 + x to the form y + c*x + f*x**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22352 and 1904.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, r: 2, l: 1, j: 1}. What is prob of sequence rjls?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*j + 4431 - 23849 = 11*j. What is the greatest common divisor of 342 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(3800))\/(sqrt(6)\/(sqrt(9)\/(-2*sqrt(3)))).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + i + 1. Let d(r) = -2*r + 4. Let g be d(0). Suppose 5*l - 21 = -6. Suppose g*j = -j + 2*u + 8, -3*j + 3*u + l = 0. What is t(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 16*y**2 + 39*y + 1. Is 6 a factor of r(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -333*y**2 + 4*y**3 + 187*y**2 + 3*y**3 + 199*y**2 + 0*y**3 as s*y + a*y**3 + f + m*y**2 and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + p - 395*p**3 + 555*p**3 + 0*p**2 - 285*p**3.\nAnswer: -125*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - c + 242. Let l(f) = -10*f**3 + 2*f**2 + 2*f + 1. Let h be l(-1). Calculate the highest common factor of h and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85017 to the power of 1\/2, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 3*z + 54, -2*i - 5*z + 4 + 10 = 0. Suppose 0*t + 4*t + 3*p - 140 = 0, 105 = 3*t - 4*p. Calculate the remainder when t is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onz. Give prob of sequence zo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36036 by -5148.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b. Let t be j(2). Let u be t\/12 + (-39)\/18. Let i(f) = -4*f**2 - 2*f - 1. Let m(l) = 3*l**2 + 2*l + 1. Let q(g) = u*i(g) - 3*m(g). Factor q(r).\nAnswer: -(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 2*o**2 - 3. Let y be g(3). Let w(a) = -8*a**2 + 14*a - 9. Let d be w(2). Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (645\/1548)\/(140\/(-42)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 84, 294, 702, 1374, 2376, 3774?\nAnswer: 5634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 1129*z - 4467. Determine w(4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1050.8 + 1050.52. Which is the second biggest value? (a) 0.02 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*q**4 + 4*q**2 + 6*q - q**3 - 5*q**2 - 1 - 129*q**4 as i*q**4 + c + z*q**2 + d*q + o*q**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + a + 4. Let i be x(0). Let n(b) be the first derivative of b**2 + 0*b + 2 + 0*b**3 + 1\/2*b**i. What is the second derivative of n(m) wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8631, -13860, -19053, -24192, -29259?\nAnswer: -34236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -323720, -1294840, -2913376, -5179328?\n\"Answer: -323708*w**2 + 4*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -14*n + 33, -5*n + 66*c - 70*c + 3 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 215 and -3.\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**3\/19 - 9738*i**2\/19 - 2*i\/19 + 9738\/19 = 0?\nAnswer: -1, 1, 4869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, a: 1, s: 2, x: 1}. What is prob of sequence sba?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f**2 - 168*f - 18. What is the smallest common multiple of 150 and r(17)?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105157.56982874 - 105164.971. Let w = 236.59880534 - h. Let a = w - 244. Round a to 6 dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 6*b + 10. Suppose -2*z + 24 = -5*n, -4*n - 4 = -5*z + 22. Let g be o(n). Solve 7 = -2*x + i + g*i, -4*x + 2*i = 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80469\/1001 - 717\/77. Is 72 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -825\/708544 or 1?\nAnswer: -825\/708544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1, 16, -20 in descending order.\nAnswer: 16, 3, 1, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**2 + 7*b + 9*b**3 - 8*b**3 - 8 + 4. Give o(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-4))\/g*g**(-1)*g*g*g**4*g\/((g\/((g**(-4\/7)\/g)\/g))\/g)*(g\/(g*g**2)*g)**(-1\/27)\/(g**(-1)*g)**(-3\/16) assuming g is positive.\nAnswer: g**(-101\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.071, 39\/7, 0 in increasing order.\nAnswer: -0.071, 0, 39\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636371808?\nAnswer: 2, 3, 541, 12253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 2. Suppose -64 = -3*q - w. Suppose -k - q = -2*l, 0 = -5*l + k + 40 + 4. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**3*n - 270969*d**3 - 8*d**2*n - 233377*d*n wrt d.\nAnswer: 12*n - 1625814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11110 (base 2) to base 5\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-6)\/(-56) - (-2928)\/(-1344)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0. Let m = 122\/3 + -40. Factor 2\/3*r**3 + 4\/3*r**2 + o + m*r.\nAnswer: 2*r*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 72*l**2 - 2884*l - 15288.\nAnswer: 4*(l - 39)*(l + 7)*(l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -226 - -226.3. What is the second biggest value in -2\/175, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.2. Suppose -18 = -q - q. Suppose 0 = 2*z - q - 1. Which is the nearest to v? (a) 3 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*i - i, -k - 5*i = -27. Suppose 5*a + g - k*g = -6, a + 5*g = 4. What is the tens digit of (8\/(-16))\/(a\/46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21390 = -72*a + 22974 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*m**2 + 1248*m**4 + 1 + 46*m**2 + 40*m**2 - 124*m**2 in the form l*m + b*m**4 + h + j*m**2 + p*m**3 and give b.\nAnswer: 1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040801 - 0.17379?\nAnswer: -0.214591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.0801 - -0.0199. Let q = m - 6.1. Let t = q - 8. Is t greater than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - s - 2. Let i be t(2). Let h be 1\/(-2)*i\/(-3). Let f = 2 + h. Solve 0 = f*z + 2 + 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35820*m**2*q - 21*m*q**2 - 4*m*q*r + 49156*q**2 - 62*q*r - 2*q wrt m?\nAnswer: -71640*m*q - 21*q**2 - 4*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437052 is divided by 987.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -24*d + 4. Let m be h(-3). Suppose i - m = -i. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 13*d**5\/30 - d**4\/4 - 188*d**2. Is 4 a factor of s(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/25? (a) 3 (b) 2 (c) -7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**2 + 2*v**2 + 3*v**2. Let n(q) be the third derivative of 0*q**4 - 2*q**2 + 1\/20*q**5 + 0 + 0*q**3 + 0*q. Determine n(h(u)).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4\/7 - 412*a**3\/7 + 1976*a**2\/7 - 224*a.\nAnswer: 4*a*(a - 98)*(a - 4)*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + 3*j**2 + 8*j**2)*(-5*j + j - 6*j - 5 - 2*j).\nAnswer: -168*j**3 - 70*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*a*y - 3091*a - 241426*y wrt a.\nAnswer: -4*y - 3091","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/3)\/16*12\/(-22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*67\/((-268)\/(-56)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 784 is divided by 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 6) to base 5\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/369 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 163112666.1 to the nearest 1000000.\nAnswer: 163000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -287216 divided by 619\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 839133 and 18740637.\nAnswer: 56221911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77927757?\nAnswer: 3, 41, 633559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84745, 338947, 762623, 1355779, 2118421, 3050555, 4152187?\nAnswer: 5423323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 11*i + 117. Let v = -40 - i. Let z = 25 + v. Solve 3*m - 4*r - 15 = 0, 4*r - 4 = 4*m - z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 5*p**2 + 6*p. Let d be x(6). Let g(y) = y**2 + 14. What is the tens digit of g(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.62838 (b) 1 (c) -8 (d) -0.29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5470 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451016945?\nAnswer: 5, 59, 1528871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -96*x + 7773. Calculate k(81).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Suppose -4*x + 3*k = -35, x + z*x - k - 25 = 0. List the prime factors of (2 + -1 + 1)*x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 1:54 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -246, -4, -130055 in increasing order.\nAnswer: -130055, -246, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18705835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 902*z + 92685. What is y(-294)?\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 5. Suppose w = -c*w + 12. Solve -5 = w*k + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 216529366*f**6 + 2*f**3 + 12107*f**2 - 5517?\nAnswer: 25983523920*f**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o + 2*o - 2*o + (-2 + 4 + 0)*(-o - o + o) - o + 6*o - 4*o + (-2*o + 3*o - 2*o)*(-3 + 3 - 2) + 0 + 0 - o to the form r*o + w and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b**2 - b)*(-2*b**2 + 2*b - 2*b) - 21*b**4 - 29 + 29.\nAnswer: -19*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16*(-9)\/(-324))\/((-2)\/(-3)). Factor s - 2\/3*a - 2\/3*a**2 + 2\/3*a**3.\nAnswer: 2*(a - 1)**2*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -2*v - 29, 3*u + 3 = -2*v - 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111681*u = -108290*u + 71211 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -3) + 3 - ((-25 - -7) + 13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k + 5. Suppose -u - 263 + 41 = -2*p, 4*p + 5*u = 444. Suppose 105*i + 72 = p*i. What is the remainder when w(-5) is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (240\/(-25))\/12*10\/18\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1773?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and (2 - 2) + (13 - 3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48011 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(76) - (sqrt(76) + sqrt(76) + sqrt(76) + -2*sqrt(76))))\/((sqrt(48)\/sqrt(4))\/sqrt(3) + sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/51*(-261)\/(-4)*(448\/21)\/32?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37421576 a multiple of 1032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -8*y. Let f be 2*(2 + (y - 3)). Let h = 0 + 0.1. Which is bigger: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 28, 57, 104, 175, 276, 413, 592?\n\"Answer: f**3 + 3*f**2 + 13*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, u: 6}. What is prob of picking 3 u?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 5*m. Suppose m = -9*f + 24 + 48. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**2 - 9*m + 2. Let v be y(2). Which is the second smallest value? (a) 35 (b) -2\/15 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 39. Calculate s(24).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) -0.09 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 319 - 319.3. Let x = 2 - 5. Sort 0.4, j, x in decreasing order.\nAnswer: 0.4, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 25 - -27) + 0 + 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 46.1. Is -0.06 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - r**2 + 7*r + 9. Let q be m(-1). Solve 4*v - 9*v - 10 = q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**2 + 1. Let h(u) be the third derivative of u**5\/20 + 8*u**2. Give p(h(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 8:45 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/(-275))\/((-3)\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) 4 (b) 29\/6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 340, 754, 1168, 1582, 1996?\n\"Answer: 414*c - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 5*b**2 - 8. Let f(n) be the third derivative of n**6\/120 - n**5\/20 + 5*n**3\/6 - 34*n**2. What is -8*f(x) - 5*i(x)?\nAnswer: -3*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjolloolodjdooljd. What is prob of picking 1 o and 1 l?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - 0.5. Let f = -10812 - -10813. Which is the closest to 12? (a) f (b) -2\/11 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {v: 2, g: 1, t: 5, h: 4, p: 2}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0805 - -10.1345. Let d = j - 0.015. Let p = d + -10.3. What is the closest to 0 in p, 0.5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j + 11. Let w be z(6). Let g be 55\/w + (-7 - -10). Let i = -6.9 + 7. Which is the nearest to i? (a) -3\/2 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66597?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9408048, -18816097, -28224150, -37632207, -47040268, -56448333?\nAnswer: -65856402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d + 15. Let x(i) = -i**2 - 29*i + 82. Let g(h) = -11*n(h) + 2*x(h). Let a(z) = 9*z**2 - 40*z + 6. What is 2*a(q) + 11*g(q)?\nAnswer: -4*q**2 + 8*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -51. Solve 0 = z*s - s + 3*o - 20, -4*o = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -50 - -1?\nAnswer: -4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5538274 <= -5538273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 82 + 76 - 43 + 53 - 33*n**2 + 4*n + 32*n**2. Calculate a(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 3 (c) -0.04 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2394 - -2399. Let b = 0.06 + -0.16. Let f = 3\/46 - 107\/230. What is the closest to f in b, s, 1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4691 + -4689. Solve 4*i + 7 = 3*i - 3*y, 0 = -n*y - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-1 - 5) - (427 - 526)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 8*s**2 - s**3 + 0*s**2 + 2 + s + 3. Let m be k(8). Which is smaller: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 7284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3. Let l = -426 - -420. Let n(o) be the first derivative of o**2\/2 + o - 3. What is l*n(f) - 2*u(f)?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v. Let f = -1 + 11. Let z(k) = 10 - k**2 - f. What is b(z(x))?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f - 69. Let h be k(11). Suppose 0 = -3*c - 3*u - 138, 5*u = -0*c - c - 50. Is 4 a factor of -2 - h - 1\/(3\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1582235345?\nAnswer: 5, 313, 1011013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 252230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1300275121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*f**3*q**3*r - 1806*f**3*q*r - 9*f**3*z - 3*q**3*r*z + 28*q**3*z with respect to z.\nAnswer: -9*f**3 - 3*q**3*r + 28*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 1. Let q(h) = h**2 + 7*h - 8. Let y be q(-8). Let x be l(y). What is the tens digit of ((-304)\/8)\/(-1 + x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17347543 (base 8) to base 6.\nAnswer: 222453351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.09403 to one decimal place.\nAnswer: 17.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -291 + 4?\nAnswer: -28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66434 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -80*n**2 + 217*n - 10. What is l(4)?\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18 - 1.28. Let x = 32 - 31.1. Let u = i + x. Which is the smallest value? (a) -0.4 (b) u (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 648, -0.07 in increasing order.\nAnswer: -3, -0.07, 648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l + 12. Let c(u) = -11*u + 270. Determine -c(d) - 2*z(d).\nAnswer: 3*d - 294","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32189, 32177, 32159, 32135, 32105, 32069?\nAnswer: 32027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1162*k**3 + 12 + 1862*k**3 + 1817*k**3 - 365*k + 362*k - 10 to g*k**2 + z*k**3 + o + f*k and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 7*y - 3. Let p be m(8). Let v be p\/(-10)*(-50 - 0). Calculate the highest common factor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10.35, -2, 0 in increasing order.\nAnswer: -10.35, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -2. Let r be (3 - (-1 + x)) + -1. Let u = -206 + 210. Solve -u*l + r = -10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1792\/120 - 8 - ((-151 - -159) + (0 - 1)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2212 (base 3) to base 2.\nAnswer: -1001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 10 - 4. Let o(i) = -3*i - 9. Let b be o(p). Solve -2 = -2*n - b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, r: 6, m: 1, l: 8, f: 1}. Give prob of sequence ml.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 (base 14) in base 15?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a week in minutes?\nAnswer: 756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1689040 is divided by 153531.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 657, 50, -1\/3, -0.5?\nAnswer: 657","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12338 or 40040?\nAnswer: 40040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1792 is divided by 194.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*t**2 + 86 - 86)*(-3 + 0 + 1)*(-15 + 20 - 14).\nAnswer: 522*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*w - 9*w - 2625. Suppose 8*f = 3*f + w. Does 21 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2008188 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21937238, -21937240, -21937242, -21937244, -21937246?\n\"Answer: -2*k - 21937236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-2))\/w)\/w**(-1\/3))**(-1\/10)*((w*w\/(w\/((w*w**(-7)*w)\/w)*w))\/(w\/w**0))\/(w\/(w*w**(-2\/3)))**(1\/5) assuming w is positive.\nAnswer: w**(-221\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/5 + 86*t\/5 - 504\/5 = 0. What is t?\nAnswer: 7, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 13*d**2 + 24*d + 25. Let f(v) = 9*v**2 + 16*v + 17. Let b(a) = -7*f(a) + 5*l(a). Factor b(k).\nAnswer: 2*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggtg when four letters picked without replacement from {t: 1, q: 2, g: 4, x: 8, m: 1}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 252103 (base 8) to base 5\nAnswer: 10241412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 195\/(-13)*48\/(-80) - (0 + -1). Put -0.5, -125, l, -0.2 in ascending order.\nAnswer: -125, -0.5, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341211767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**3 - 2*l**2. Let i = 25 - 23. Let f(q) = -q**2 - 3*q**3 + 4*q**3 + 10*q**i - 10*q**2. Give a(m) - 2*f(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -7)*(15\/21 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2351761 to the power of 1\/2, to the nearest integer?\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 + 1 - 68*d**3 + 0 + 1 - 41*d**2 wrt d?\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 5:34 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 - 12*y**2 + 10*y - 12. What is the tens digit of j(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3527020 (base 8) to base 4.\nAnswer: 3222320100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(3)*-1 - sqrt(3)*2*-6)*5)**2.\nAnswer: 9075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/245 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 135151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -394, 0, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = 0, -2*m = -0*m - 2*h - 6. Suppose 0*q - m = -q. Suppose q*i + a = -4*a - 58399995, 4*a - 29200004 = 2*i. Round i to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-26 + 38) - (35\/(-3) - -4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -11*f. Let i be (-175)\/(-55) - 3 - 1218\/(-77). Let t(j) = 15*j - 29*j - 3 + i*j + 3. Determine t(x(l)).\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 4*q - 9, 0*y - 5*y = -5*q - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -44 - (-3 - 13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (-6 + -10 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21393 and -484.\nAnswer: -10354212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-4) + 1 + 3. Suppose a + 4*m + n = 3*a, -2*a + m = -9. Suppose 0 = 3*w - 7 - a. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370927?\nAnswer: 41, 83, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.08951 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -13*u**7\/42 + 61*u**6\/30 + u**5\/10 + 855*u**3 - 4550*u. Find the second derivative of d(a) wrt a.\nAnswer: -260*a**3 + 732*a**2 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-189))\/((-78)\/(-234))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uikgnlu. Give prob of sequence gin.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000249034 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (508\/(-10))\/(1\/5). Let k = -119 - n. Let a = 30 - k. What is a rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 0 - 4*f - 1\/5*f**2 - 3\/10*f**3 - 7\/50*f**5 - 4\/15*f**4 - 1\/25*f**6 - 1\/210*f**7. Suppose p(h) = 0. What is h?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*r = 35, 2*v - 2*r = -v + 21. What is the greatest common factor of 161 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9304576, 9304561, 9304532, 9304489, 9304432, 9304361, 9304276?\nAnswer: 9304177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -263aa9?\nAnswer: 263aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*3766.\nAnswer: 11298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -11) + 322\/(-21) + 6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence duu when three letters picked without replacement from {u: 2, i: 1, x: 2, d: 7}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 89289252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -45 - -59?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 630, 629, 628, 627, 626, 625?\nAnswer: 624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -36*b + 13. Let t be m(-7). Let r = t + -126. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in sixty-seven quarters of a kilogram?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-98)\/147*(2 + -1996 - -2)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -0.5. Let z = -315 - -1259\/4. Which is the biggest value? (a) z (b) 2\/3 (c) -4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -10*k**3 + k**2 + k - 1. Let v(a) = 28*a**3 - 15*a**2 - 27*a - 13. Let l(b) = -3*c(b) - v(b). Factor l(o).\nAnswer: 2*(o + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -9*b**2 - 4*b - 5. Let u(k) = 7*k**2 + 4*k + 5. What is 4*l(f) + 5*u(f)?\nAnswer: -f**2 + 4*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -9. Solve 0 = 3*s - m*s + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*j + 18*j + 2*j**2 + 6*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -g + 1. Put 0.1, -5, g, 0.5 in descending order.\nAnswer: 0.5, 0.1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.78 + 0.22. What is the closest to -1 in c, -2\/13, 0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 420\/11. Which is the fourth biggest value? (a) 4 (b) -1 (c) g (d) 0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {f: 1, e: 1, y: 1, v: 2, d: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**5\/8 + 35065*z**4\/4 + 52595*z**3\/2 - 35065*z**2\/4 - 210381*z\/8 = 0.\nAnswer: -70127, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 11*c**5\/120 + c**3 - 3. Let u(v) be the third derivative of x(v). Suppose -r = 5*f - 10, f + 4*f + 4*r = 25. Give u(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -534, -1071, -1608, -2145?\nAnswer: -2682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -790*l + 67 - 67 + 797*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -538 + 273. Let u be m - (1 + -1)\/(11 + -13). Let z = 154 - u. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - ((8 - -13) + -14) - -4\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60002?\nAnswer: 2, 19, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 728 or 733?\nAnswer: 733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 1\/60*l**5 - 3*l**2 + 0 + 1\/24*l**4 + 0*l + 0*l**3. Find the second derivative of z(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 11762333.\nAnswer: -1\/11762333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001084 rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7078527 take away -7665.63?\nAnswer: -7070861.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/7)\/(w\/w**(-4)))\/(w**(-1\/5)*w*(w**(-2\/13)\/w*w)\/w*w))\/((w**(-1\/2))**0\/(w**(-1))**3) assuming w is positive.\nAnswer: w**(-3804\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*g + 15 = 3*h, h - 14 = 4*g. Suppose 3*w = -3*m - 3, -3*m - 5*w = 11 - 2. Solve m = -h*n + n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 22*i - 485. Let f be q(23). Solve -f*z - 67 = 17 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 649?\nAnswer: -25.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + j = -9*a + 26, 20 = 4*a + j. Let i be (1 + 0 - -32)\/(a\/4). Let h = i + -5. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 + 39. Let h = v - -27. What is the remainder when h is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a week in minutes?\nAnswer: 13860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21809345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92\/3 + -389\/12. Which is bigger: l or 2.5?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*w + 31*w + 12 = -4*z, 0 = z + 5*w - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610 = -776*g + 791*g - 96 + 1166 for g.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 59*s - 361. Determine g(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 12:36 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + (-25 - -24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - r**2 - r - 1. Let t(u) = u**3 + 4*u**2 + 2*u + 2. Let y(f) = 4*d(f) + 2*t(f). Solve y(o) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -5.6. Let p = -1.5215 - -1.7215. What is the nearest to p in -0.1, -5, k, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 788.2943 + -772.3. Let f = -200.4 - -184.4. Let z = t + f. Round z to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -668, -662, -652, -638, -620, -598, -572?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**5 + 1739645*i**4 + 151296488505*i**3 - 3783461290945*i**2 + 3329563127150*i + 7264319166960 = 0. Calculate i.\nAnswer: -173977, -1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2493342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from ttsggm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 241247534 to the power of 1\/3, to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*i = -24, -2*r + 2*i = -0*i - 16. Calculate the highest common factor of r and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(90)\/sqrt(5) + -6*sqrt(2)*-2.\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 298.828987 to 2 dps.\nAnswer: 298.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p - 6 - 14 - 10*p. Let u(y) = 11 + y - 4 + y. Let i(v) = -v**3 + 26*v**2 - 182*v + 4740. Let h be i(26). What is h*u(x) + 3*l(x)?\nAnswer: -2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9027 - -23001. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 37, 74, 223, 556, 1145?\n\"Answer: 12*y**3 - 16*y**2 + y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/(-9) + (14 - (-3782)\/(-279)). Which is the biggest value? (a) 3.3 (b) 2\/29 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0.4, -4, 23, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(1\/5))**(-30)\/((((b\/(((b*b*b**0*b)\/b)\/b))\/b)\/b)\/b**(-8\/7)))**(-19\/2) assuming b is positive.\nAnswer: b**(1539\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - 13\/(52\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 291*u**3 - 885*u**2 + 36*u.\nAnswer: 3*u*(u - 3)*(97*u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**1*q*q)**5)**(-36))**(-2\/57) assuming q is positive.\nAnswer: q**(360\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1767901 is divided by 196424.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2375, -4746, -7107, -9452, -11775, -14070, -16331?\nAnswer: -18552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -o + 9, 2*o = -3*o + a + 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -t + 21. Let p(c) = c**2 + c - 3. Calculate the remainder when 2 + 3 - (-11 + t) is divided by p(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -49.1, 0.3, 4\/7, 0.0234 in ascending order.\nAnswer: -49.1, 0.0234, 0.3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4 + 92*w**3 + 5424*w**2 - 271872*w + 995328 = 0.\nAnswer: -54, 4, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q. Let v = 216 + -145. Let i(z) = 71 - v - z. Calculate g(i(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(300)*1 + 5)*-5 + 2*(-5 + (sqrt(300) - (-2*sqrt(300) - sqrt(300)))) + 1)**2.\nAnswer: 2360*sqrt(3) + 4681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, -4, -3 in decreasing order.\nAnswer: 3, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 16) in base 14?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 33*v**2 - 293*v + 294. What is the remainder when 767 is divided by p(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from {a: 4, s: 5, l: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + (0 - -24006) - (-3)\/(-6)*-6?\nAnswer: 13, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(1331)*-4 - sqrt(11)) + -4 - (sqrt(1584)*-4)**2*4.\nAnswer: -101380 - 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/14630 and 12\/5.\nAnswer: 14630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -2*f - 28 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szk when three letters picked without replacement from kkskzzkkzzkkzzzzkks?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -96\/11? (a) 2\/749 (b) 0.6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + 8. What is the second derivative of -8 + 3*i + 3*i - 10*i + l*i**4 + 15*i**4 wrt i?\nAnswer: 684*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -294 - 423 + 3*i + 708. Let y(u) = -2*u + 5. Determine -3*o(n) - 5*y(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-24)*u*u**(1\/6)\/u*u)\/((u\/(u\/u**(1\/31))*u)\/(u*u**(-3\/19)*u)) assuming u is positive.\nAnswer: u**(-77831\/3534)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.091 - 1.391. Sort -4, 1, m in decreasing order.\nAnswer: 1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -3. Let s = -1.289509 + -0.7104926. Let x = u - s. Round x to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -3 (c) 0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 10 = 82. Solve -5*s + 2*n = c, -4 = s + 2*s - 2*n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 11*n**2 - 383*n + 2. Let p(f) = 16*f**2 - 381*f + 3. Let z(i) = 3*h(i) - 2*p(i). Factor z(k).\nAnswer: k*(k - 387)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -11 + (2 - -5) + -3 + -37?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -49?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -106 - -2a?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/4 + 3\/(-12). Let p be (2*-1)\/(-1) + -1. Which is smaller: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 3654976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.094? (a) -330 (b) 1 (c) 0.3 (d) 86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -2 (c) 2 (d) -4 (e) -11 (f) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 60.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*((sqrt(1872) + sqrt(1872) + 1 + sqrt(1872))*-4 + sqrt(1872) + -3*sqrt(1872) + -5)**2 + -4.\nAnswer: 9072*sqrt(13) + 1100976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -200220 (base 3) in base 15?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2. Let j(i) = 460*i**2 + 60*i**2 + 234*i**2 - 35*i**2 + 80*i**2. What is m(j(k))?\nAnswer: 1276802*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -22312203 (base 4) to base 8\nAnswer: -126643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/(-33) + ((-88)\/(-6))\/4. Solve -y*h = -h - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671058.9ns to milliseconds.\nAnswer: 0.6710589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 162 + 69. What is the highest common divisor of 42 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128 - 120. Suppose -560 = a - z*a. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -r - 4*r + 18. Suppose -2 = -2*i + 2*y, -i + 2 = 3*i - 5*y. What is the least common multiple of r and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*b - 406*b - 623*b - 78*b.\nAnswer: -1297*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 + 181 = 5*q - 5*j, -4*j = 2*q - 94. Let a = 112 - q. List the prime factors of a.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -5)*(19 + 1). Solve -5*j + f = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 9. Let i(t) = -4 + 3*t - 2*t + 0*t. Let f(k) = -2. Calculate d*i(m) - 5*f(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 12*y + 7*y + 124, j - 123 = -4*y. List the prime factors of j.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -224\/1536497?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 0.1. Let l = 0.091 + -3.811. Let k = l + -0.28. Sort k, f, 2\/7.\nAnswer: k, f, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2*(0 + 3 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 18*o**2 - 3*o - 7. Suppose 3*a = -a + 32. Let s be l(a). Suppose 2*g - s = 899. What is g rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 3*u - u**2 + u**2.\nAnswer: 3*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*1\/15 + 139\/(-5). Suppose -2*u - u + 156 = 0. Let n = u + w. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 11220524?\nAnswer: -11220526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o + 7*o - 4*o + 7*o - 17*o + 8*o.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -336218, -336221, -336224, -336227, -336230?\nAnswer: -336233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 1. Let k(m) = -3*m**3 + 33*m**2 - 126*m + 138. Let b(y) = 6*c(y) + k(y). Factor b(q).\nAnswer: -3*(q - 4)**2*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188601, 188601, 188603, 188607, 188613, 188621, 188631?\nAnswer: 188643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 2:44 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 - 3)*(-2 + 2 + 2*w)*(24*w + 3*w - 27*w + 293*w**3).\nAnswer: -4102*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18086688793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6))**(1\/33) assuming t is positive.\nAnswer: t**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 176849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*sqrt(5) + 3)*6 - (-4 + -3 + (sqrt(40)\/sqrt(2))\/sqrt(4)))**2.\nAnswer: -2450*sqrt(5) + 12630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 40. Let q be (-3 - (1 - 2)) + 7. Suppose 2*n + r - 9 = 0, t*n + q*n = 2*r. Solve 3*p = 2*g + n, -8*g = -5*p - 3*g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.161 (b) -0.06 (c) 996\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 950309 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*(sqrt(68) - (sqrt(68) - (sqrt(68) - sqrt(68)*2) - sqrt(68))) - sqrt(68))\/((sqrt(24) + sqrt(24)*2 + sqrt(24))\/sqrt(6)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -3*sqrt(44) + (-2*sqrt(121))\/sqrt(11) + ((-2*sqrt(132) + sqrt(132) + sqrt(132))*-4 - sqrt(132))\/sqrt(12).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -9*p**5\/5 - 138*p**4\/5 + 582*p**3\/5 - 828*p**2\/5 + 507*p\/5 - 114\/5 = 0.\nAnswer: -19, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 421 + -152. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 513 + -516. What is the units digit of 7795\/20 + 2*o\/(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-15))\/((-18)\/(-162)). Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2369131.\nAnswer: 79, 29989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3)*(79 + -4). Suppose -u = 4*u - f. What is the smallest common multiple of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 255441718?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3367 take away 22?\nAnswer: -3389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(4*z - 2*z + 3*z) + 2*z + 2*z + 2*z - 6*z - 4*z + 5*z - 2*z + 3 - 2 + 1 + (3*z + 142 - 142)*(2 - 1 + 0) to v*z + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 6*w - 4. Determine y(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217490 = -22226*p + 24616*p for p.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4504260 is divided by 1736.\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 148, 181, 214?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 10*k + 11. Let a be c(9). Let z = 3 + a. Find the third derivative of -d**5 + d**2 - 3*d**2 + 2*d**z wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1605.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008280987 rounded to 6 dps?\nAnswer: -0.000828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lktkkztkltkk. What is prob of picking 1 k, 2 l, and 1 z?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 2. Let k be j(-5). Suppose -93 = -2*d - 5*t, 2*d + k*t = -d + 126. Calculate the remainder when 75 is divided by d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 10:54 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 + -35. Let b be (2 - 22\/g)*1. What is the third smallest value in b, 0, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6404 + -6591 - (-145 + -1).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*a - 3*a - l, -2*a + 5*l + 21 = 0. Find the common denominator of (-2)\/10*(7 + (-171)\/a) and 27\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 157*d - 4 + 4.\nAnswer: 157*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/3, -3\/4, 3, -43, -606?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 + -223. Suppose 10*j = -629 - 91. Let k = j - c. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3) - (-21)\/9. Suppose 0 = 2*q + x*v - 593, -q - 3*q + v = -1151. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*b = 233, -2*s + 7*b + 127 = 6*b. What is the remainder when 617 is divided by s?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 3:24 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -4 (c) -9911\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 - 5 + 5)*(-1 + 1 - 2*s) + 2*s**4 + 18*s**4 + 0*s**4 + 711*s**3 + 376*s**3 - s**3 - 363*s**3 + 2*s**4 + 500*s**3.\nAnswer: 26*s**4 + 1223*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from {m: 3, p: 1, n: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 8361*b**2 + 1476*b**2 + 13 - 5 in the form n*b**2 + q*b + d and give n.\nAnswer: 9837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -2*w**2 + 11162. Let l(d) = -857*d + 1. What is y(l(c))?\nAnswer: 3428*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/32 - -97\/288. Let j = w + 917\/180. Calculate the common denominator of 68\/21 and j.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -387.98+-1.2916929\nAnswer: -389.2716929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**5 + 1207*x**4\/4 - 44227*x**3\/2 - 391837*x**2\/4 - 116739*x - 23409 = 0?\nAnswer: -2, -1\/4, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/5 - 437848*j**3\/5 - 437834*j**2\/5 + 2627076*j\/5 = 0. Calculate j.\nAnswer: -218923, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 161*w**2 - 81 wrt w?\nAnswer: 322*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 f, and 1 h when four letters picked without replacement from {v: 4, f: 2, y: 9, t: 1, h: 3}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {n: 1, q: 14}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 30?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z**(11\/5)\/z)\/z)*z**32 assuming z is positive.\nAnswer: z**(164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18993\/(-117) + 2\/(-3). Let g = 181 + d. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5\/3 + 4*o**4\/3 - 7*o**3 + 4*o**2\/3 + 28*o\/3 = 0. What is o?\nAnswer: -7, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 3, 26, 69, 138, 239, 378?\nAnswer: 561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c + 13*c + 4*c - 8*c**4 - 32*c wrt c?\nAnswer: -96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 12:54 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6121 rounded to 2 dps?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 6*a + 4 = -3*d, a = -3*d - 8. Solve s - 5*s - 2*l = 6, a*s - 14 = 2*l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(76) + 3)*1*-2 + (sqrt(76)*1*-3 - (4 + sqrt(76) + -1 - sqrt(76))))**2 + -1.\nAnswer: 180*sqrt(19) + 1976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/(-3) - (-3 - -1). Let q be 36\/15*(-200)\/n. Let m(b) = -2*b + 4. Let p be m(-3). Calculate the highest common factor of q and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -346?\nAnswer: 3\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -8*f**3\/57 - 1411*f**2\/19 + 706*f\/19 + 6163. Factor k(a).\nAnswer: -2*(a + 353)*(4*a - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-6)*-255)\/((-3)\/(-6)). Suppose -12 = -81*h + f*h. Sort h, -1, 8 in decreasing order.\nAnswer: 8, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Let x(k) = 31*k**2 - k. Let i be x(r). Suppose -5*l + i = -20. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 89*k + 857. Determine p(-12).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7590 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24*2\/30)\/(((-3)\/10)\/(162\/(-36))).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1501140.\nAnswer: 2, 3, 5, 127, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 10:35 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 136, 16, 2\/3, -4, -1225\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6b8702b + -2?\nAnswer: 6b87029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1063405 by -115.\nAnswer: -9247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, k: 3, g: 4}. What is prob of picking 2 g and 2 l?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/28*25\/((-2050)\/287)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 9*i - 6*i. What is the smallest common multiple of 6 and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 at least 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -1\/8 (c) 2\/5 (d) 1064 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*z**6 + 2*z**4 + 5*z**2 + 4*z wrt z.\nAnswer: 3120*z**3 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3564) + (sqrt(3564) + 4 + 2)**2).\nAnswer: 702*sqrt(11) + 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-10))\/(5\/(-1017230)). Let y = 20257 + d. Let b = 88 + y. Is -1\/5 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2)*d)\/((d**(1\/7)*d)\/d))**(-37)\/((d\/d**(-2\/3))\/(d*d\/(d**(1\/2)\/d))*(d*d**(-1)*d)**(-2\/49)) assuming d is positive.\nAnswer: d**(1811\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84870 and 2376360.\nAnswer: 2376360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1098184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 9 - (0 - -2)) + -1. Suppose -j*c - 10 = -14. Differentiate c + 0 - 2 + 16 + 17*l**2 wrt l.\nAnswer: 34*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 164 - -5?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6679909, -13359818, -20039727, -26719636?\nAnswer: -33399545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**2 - 1 + 8 + q**3 + 0 + 2*q. Suppose 4*l - 36 = 4. Let u be l\/6*(2 + -5). Calculate a(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129588 (base 13) to base 16\nAnswer: -6da79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 13 + (-2 - 0). Let b be ((-33)\/(-2))\/(15\/40). Calculate the greatest common factor of s and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**4 - 3*r**4 + 4*r**4 - 3*r**4 + r**4 + 0*r**4 + (7*r**3 - r**3 - 10*r**3)*(2*r + 2*r - 6*r) in the form x + u*r**4 + h*r + z*r**3 + n*r**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -20, -32, -46, -62?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2301 rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7548 is divided by 236?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5934 - 4694 = 310*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4 (b) 308607.1 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 558403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.104 - -13. Let k = -4.464 - q. Let v = k + -1.34. What is v rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -14. Suppose -d + 11 = -q*d. Let p(m) = -m - 8. List the prime factors of p(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88407 and 1197.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36.7 - -37. Suppose 4*d + 3*u = 8, d + 2*u = 3*u - 5. Sort d, 0, n.\nAnswer: d, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1538*s**2 - 2*s - 3. Is g(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 392 - 390. Let -4\/3*o**v + 2*o + 2\/3*o**4 + 2\/3 - 4*o**3 + 2*o**5 = 0. Calculate o.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 522764923 to the nearest integer?\nAnswer: 22864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -30 + 8*l + 14 - 11*l. What is the remainder when 54 is divided by o(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + h. Let p(z) = -4*z**2 - 5*z + 28. Let i(m) = 5*k(m) + p(m). Find the first derivative of i(w) wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/19 and -97\/3344.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1\/11, 6, -1\/31, 1\/3, 0.02?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4415870705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-4035)\/20*4. Let p = -29861\/37 + d. Is -2 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-2)*24\/12. Put -10, 3, x in increasing order.\nAnswer: -10, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, f: 4}. What is prob of picking 3 f and 1 b?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -48*o**2 - 14*o. Let t(u) = -55*u**2 + 1 + 7*u**2 + 8*u - 23*u. Let b(n) = 5*j(n) - 4*t(n). Find the second derivative of b(z) wrt z.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/48 and -10*(-9)\/(2592\/22)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - o + 5*o)*(0*o + 2*o - 8*o)*(14*o - o + 0*o + (3*o + o - 6*o)*(0 + 1 + 1) + 3*o + 0*o - o + o + 4 - 4).\nAnswer: -72*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -186183\/35 or -5320?\nAnswer: -5320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4733.348 and 2976?\nAnswer: 7709.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtttftzftrztzttrtt. What is prob of picking 1 r and 1 f?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-21))\/((6\/(-4))\/(-3)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 5:29 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**3\/2 - 26*o**2 - 6157*o\/2 - 3052 = 0.\nAnswer: -56, -1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1010111111010000010 (base 2) to base 4\nAnswer: 1113322002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1014575 to the nearest integer?\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -22176 - -4?\nAnswer: -22172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2165 - 0.21650094. Round x to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87 - 36 - 88) + 78?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 107415 divided by 5\nAnswer: 21483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -330653*r*z**3 + 240692*z**3 wrt r?\nAnswer: -330653*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5 = -f - 6*o, -11 = -5*f - o. What is the closest to 0.1 in f, -1\/3, -3\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 52, 5, -3 in decreasing order.\nAnswer: 52, 5, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 - 2*d + 64. Let h(u) = 5*u**2 - 3*u + 128. Let y(s) = 4*h(s) - 7*x(s). Differentiate y(o) with respect to o.\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 4*m + 2532 - 2632, -3*z = -14*m + 86 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 15. Let f be (1\/(-9))\/(v\/(-2)). Let i = -9 + 9.2. Which is the closest to -2? (a) -5 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*y = 5*i - 62, -2*i - 60 = 2*y - 10*y + 12 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4659227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**6*z + 772*a**4 - 17*a**2*z + 117*a**2 - 2*z wrt a?\nAnswer: 480*a**3*z + 18528*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q. Let a(x) be the third derivative of x**8\/20160 + x**5\/12 + 8*x**2. Let r(y) be the third derivative of a(y). What is r(d(g))?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/(-11) + (-42)\/462 + 555. Round s to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -303\/13 (c) 1 (d) -9\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-20))\/(21\/328). Let h = 5\/21 - s. Factor 192\/5*m**5 + 0 + h*m**2 - 12\/5*m**3 - 1\/5*m - 16*m**4.\nAnswer: m*(3*m + 1)*(4*m - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 17*u**2 + 57*u + 81. Suppose -z = -2*z - 4. Let f(k) = -4*k**2 - 14*k - 20. Let i(a) = z*h(a) - 18*f(a). Let i(x) = 0. What is x?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*y - 21*y + 9*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + 120*k**2 - 19*k + 300. Let a be f(60). What is a rounded to the nearest 10?\nAnswer: -840","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 6. Let i be (-6)\/8 + (-345)\/(-92). Suppose -3*x + m = 2*m, i*x - 3*m = 0. Determine y(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 8*u**3 + 5*u**2 - 2*u. Let r be -25 - -34 - -30*6\/(-12). Let p(g) = -17*g**3 - 11*g**2 + 4*g. Suppose 5*j + 17 = -48. Calculate j*a(z) + r*p(z).\nAnswer: -2*z**3 + z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-10)\/(-6) - (-44)\/60. What is the nearest to g in 3\/2, -0.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3582416 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5\/4 - 137*h**4\/4 + 279*h**3\/2 - 421*h**2\/2 + 563*h\/4 - 141\/4 = 0. Calculate h.\nAnswer: -141, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-17)\/(-17))\/(1\/2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(128) - sqrt(128)*1 - sqrt(128)) + sqrt(72) + sqrt(72) + -3))**2.\nAnswer: -216*sqrt(2) + 369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 681 divided by 515789\nAnswer: 681\/515789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = s + 8 + 7, 2*u = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 - 1. Let x = a + 0.3. Let t = -11 + 10. What is the nearest to 1 in x, t, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from cpmkmkmkdzczmkmmp.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6417)\/372*3\/(18\/(-16)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3 + 1 + 1 - 5 - 5*f. Let o(r) = 8*r - 39 + 81 - 42. What is y(o(b))?\nAnswer: -40*b","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3004*b - b**3 - 3004*b.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147227?\nAnswer: 3, 61, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-565)\/(-70 + -43))\/(20\/276).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 92*r - 2305. Give o(-113).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247076, 247075, 247074, 247073?\nAnswer: 247072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5 = -3*g, -15 = -5*g - 0. Suppose 10*y - 7*y = -6, -15 = u + 2*y. Sort u, z, -3 in increasing order.\nAnswer: u, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 57483681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -v - 0*v + 6947, -4*k - 34697 = -5*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**5 - 25*p**4 + 1150*p**3 + 350*p**2 - 79625*p + 289835 = 0. What is p?\nAnswer: -13, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + (((0 + sqrt(500))**2 + sqrt(500))*-1 - -1*sqrt(500)*-2).\nAnswer: -499 - 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46167427 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -7. Let t = -9 - -13. Suppose 0 = t*q + 4 - 16, -2*f + 113 = 5*q. What is the remainder when f is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-7944)\/517684)\/((-6)\/34).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 60112220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169471120.\nAnswer: 2, 5, 7, 13, 23279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 57?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y**3 + 694*y**2 - 3896*y - 2904 = 0. Calculate y.\nAnswer: -121, -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -21*d - 1012. What is the smallest common multiple of c(-66) and 8?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 287504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 16398081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3678809567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*s + 12, -5*l + 4*s - 41 = 0. Let k = l - -16. Let z = k - 0. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - v - 2. Let c(g) = -g**2 + g + 2. Let h(w) = -c(w) - d(w). Let o(z) = 28*z**2. Give o(h(y)).\nAnswer: 28*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58 - (42 - 102)) + -3 + -1 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2*y + 22, 0 = -4*z - 2*y + 18 + 90. Is (z\/(-3))\/((-8)\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1138 and 98.965.\nAnswer: -112622.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y - 2*y**2 + 1 + y - 6 + 3*y**2 + 6 - 3*y**2 + 4*y**2 + y**2 + (y - 5*y + 2*y)*(-3*y - y + 2*y).\nAnswer: 7*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 + 82*x - 82. Let o be p(-42). Solve o*w + 36 = 3*h + 32, 3*h = -4*w - 26 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/128 of a hour in milliseconds?\nAnswer: 84375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5929.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204 by -68.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*c - 35 = 0, -2*q + 2*c - 9 = -5*q. Let k(a) = -a - 3 + 0 - q + 9*a. What is the units digit of k(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2970 is divided by 142.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 3\/3)*(-1 - -3). Find f, given that 0 - 1\/4*f**h + 1\/4*f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2221840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*h + 523, 3*z - 2*z - 563 = 4*h. What is the remainder when z is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjvlllltvvlvjlj. What is prob of picking 2 v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from vvsvushvuvvhvudhh.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -405.88 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5341, -5337, -5331, -5323, -5313, -5301, -5287?\n\"Answer: a**2 + a - 5343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 4 - ((2 - -50) + (57 - 29) + -21)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 629 take away -0.059277?\nAnswer: 629.059277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.16, 5, 6 in decreasing order.\nAnswer: 6, 5, 1\/5, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107935*w + 107935*w - 8*w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*b + 3*b + 6, -5*c = -4*b + 10. Suppose -4*y - y + 35 = b. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - x - 4 = 0, 4*q - 14 = 2*x. Solve -q*r - 4*m - 2 = -14, 5*m + 15 = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 9:53 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27284029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -8*v**3 + v**3 + 7*v + 5*v**3 - 5*v**2 + 9. Let l be r(-5). What is the greatest common factor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10886836 or 10886834?\nAnswer: 10886834","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/10)\/(1\/(-6)). Let z = -3 + s. Let c(j) = 0 - 1 + 2*j**2 + z*j + j - 1. What is c(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c = 46*c - 121275 + 121109. Factor -1\/7*o**c - 60\/7*o - 900\/7.\nAnswer: -(o + 30)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 6*h**2 - h + 11. Let l be b(6). Let g(k) = k**2 - 2*k - 1. Calculate g(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 5:07 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**2 + 11*a - 3. Let w(o) = -o**2 + 4*o - 1. Let d(t) = 6*j(t) - 17*w(t). Suppose -3*v + 18 = -3*k, 0 = -k + 246*v - 241*v - 26. What is d(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - 3*a**2 + 3*a**2)*(2*a + 2 - 2) + a**3 + 1 - 1 - 1903*a**3 - 6664 + 6664.\nAnswer: -1904*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 11) to base 14.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 27*b - 136. Let p be w(5). Put 1, 8, -5, p in descending order.\nAnswer: 8, 1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*u**2 + 12*u**3 - 6*u**3 - 1 - 4*u**3.\nAnswer: 2*u**3 + 112*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 6*j + 7*j)*(0*j - 2*j + 3*j) - j**2 + j**2 - 2*j**2 + (5*j**2 - 3*j**2 - 3*j**2)*(-2 - 2 + 3) + 2*j**2 + 2*j**2 - 2*j**2.\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - -5*-2*sqrt(17)) + sqrt(17) + (sqrt(68) - (-3 + sqrt(68)) - sqrt(17)) - 4*(-5 + sqrt(1700) + sqrt(1700)*2)**2.\nAnswer: -61297 + 1191*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2 + 2981*h - 2980 = 0?\nAnswer: 1, 2980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c + 3. Let t(o) = 27*o - 12. Let k(i) = 9*f(i) + 2*t(i). What are the prime factors of k(-2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 6:21 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/15 + 10\/(-3). Let l(c) = 2*c**3 + 2*c**2 - 2*c + 3. Let x be l(u). Let q be 3\/(9\/(-2))*x\/9. Solve n - w = -4*n + 24, q*n - 4 = -w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/10)*k)\/(k**(-1\/3)*k)*((k*k**(-2\/17)*k)\/k)\/(k\/(k\/(k\/k**(4\/3)))))\/(((k**(5\/3)\/k)\/k**(-2))\/(k**(1\/4))**(-21)) assuming k is positive.\nAnswer: k**(-2063\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -693*w - 9925. Let x(b) = 260*b + 3308. Calculate 8*x(f) + 3*y(f).\nAnswer: f - 3311","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 57 (b) 0 (c) -7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 0.4, -2\/31, -2\/7.\nAnswer: -2\/7, -2\/31, 0.4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1709 + 30833\/18. Find the common denominator of -16\/483 and p.\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1053) - (sqrt(1053) - (sqrt(1053) + -1))))**2.\nAnswer: -288*sqrt(13) + 16864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196 + 2890532650.\nAnswer: 2890532454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, q: 7, b: 5, t: 1}. What is prob of picking 1 t and 1 b?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -232, -444, -654, -862?\n\"Answer: z**2 - 215*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4530 is divided by 439?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 267 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8128*k**2 + 127*k - 127. Let h(n) = -129*n**2 + 2*n - 2. Let c(t) = 6*f(t) - 381*h(t). Let u(p) = -7*p. Give u(c(z)).\nAnswer: -2667*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -28, 782 in ascending order.\nAnswer: -28, -2, 5, 782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 181*w**3 + w**2 - 2*w + 1. Let z(o) = -180*o**3 - o**2 + 2*o - 1. Let t(b) = 5*s(b) + 4*z(b). Let d be t(1). Suppose -2*a = 3*a - d. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 5*n**2 - 4*n + 5. Let t = -233 + 249. Suppose -9 = 3*y, 2*f = 3*f - 4*y - t. Give h(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - f**2 - f - 1. Let u(a) = 18*a**3 - 2*a**2 - 2*a - 3. Let t(q) = 2*h(q) - u(q). What is the derivative of t(p) wrt p?\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150 - -147 - (1 - 4) - -13\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 5*h + 33. Let u be j(-4). What is the nearest to -13\/3 in u, 0, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1391325, 2782608, 4173891, 5565174, 6956457?\nAnswer: 8347740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*m**2 - 94*m + 94*m to the form r + o*m + u*m**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98894 divided by 2.\nAnswer: -49447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 74, 156, 280, 452, 678?\nAnswer: 964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48569?\nAnswer: 17, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1248 is divided by 1218\/15*(60 + -55).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 - 43*b**2 + 43*b**2 + 1262 + 2*b**3. Let g be t(0). Let n = 3836\/3 - g. Find the common denominator of n and -71\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 26 = -5*x - 2, 3*x = 5*k - 23. Let z be -5 + x + 306\/6. Solve -d + z = -11*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**12\/(a**(-1\/5)*a) assuming a is positive.\nAnswer: a**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 934 - 458 = 0. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011010100111111011 (base 2) to base 8.\nAnswer: -1324773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 20*l - 48. What is the tens digit of j(29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-19) + (-15 - 3247\/(-323)). Put j, 3, -17 in ascending order.\nAnswer: -17, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 4*g + 3. Let x be o(-4). Suppose 4*b + 3 - x = 0. Suppose -s - 3*s - s**2 + b*s + s = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**4\/5 - 34*y**3 + 36440*y**2 - 3237000*y - 17100000 = 0.\nAnswer: -380, -5, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2464, 2321, 2178?\n\"Answer: -143*b + 2607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-2) + -1)\/(-7 + (-65)\/(-13)). Solve 10 = -2*i, t = 3*y + i - 5 + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-12)*(-21)\/28?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -2\/525*n**7 + 3\/100*n**6 + 0*n**3 + 1\/15*n**4 + 0 + 3*n**2 + 0*n - 2\/25*n**5. Let w(k) = 0. What is k?\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 - 91. Is (36\/d)\/((-3)\/(-42)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2604 and 69\/1064.\nAnswer: 98952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 3:27 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*15\/(-63)*3*-7. Is (-3)\/4*-4 - (-58 + q) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.4 + 22.186. Let a = 0.21400318 + y. Round a to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61*f**3*h**2 - f**3 - 8*f**2*h**2 + 2*f - 11828*h**2 wrt f?\nAnswer: -366*f*h**2 - 6*f - 16*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*f**3*j**3 + 2*f**3*j**2 + 842*f**3 + 23501*f**2*j**3 wrt f.\nAnswer: -36*j**3 + 12*j**2 + 5052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*i)*(-178*i**3 + 1754*i**4 + 80*i - 58*i - 1756*i**4).\nAnswer: 4*i**5 + 356*i**4 - 44*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4\/5 + 868*c**3\/5 - 94178*c**2\/5 = 0. Calculate c.\nAnswer: 0, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.7 - 4. Let h = -21 + 24. Sort h, t, 1 in ascending order.\nAnswer: t, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -21*(-20)\/70*1\/33\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 + 49. Let p be u*3\/(-42) + 52\/7. Solve -2*n - p = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*((-1409)\/(-2) - 0). Let r = 627 - o. Suppose -4*s + r - 280 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1034\/(-4200) + (-2)\/(-8). Let h = z - -298\/525. Let l = 16.1291 + -16.6291. What is the biggest value in -3, h, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 + 9*o + 16*o - 27*o as j*o**2 + i + n*o and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = t - 2*r, r + 1832 = 9*t - 5*t + 459*r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -112*d**3 - 322*d. Let a(u) = 110*u**3 + 321*u. Let g(o) = 4*a(o) + 3*t(o). Find the second derivative of g(f) wrt f.\nAnswer: 624*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98158884?\nAnswer: 2, 3, 17, 481171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**2 - 253*z - 81. Calculate f(-84).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = s. Suppose 0*p - 76 = -5*p + 4*k, -40 = -3*p + k. Suppose -7*w + p*w = 0. Is w > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/((-97)\/(-582)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14521 + -14520. Let x = -0.8 - -2. Which is the nearest to 0.1? (a) x (b) 1\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgg when three letters picked without replacement from {g: 3, w: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.03, 1, -1\/8 in descending order.\nAnswer: 1, 0.03, 0, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -14. Let j = p - -17. Calculate the least common multiple of (-2)\/(0 + 3\/(-18)) and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -197*a**3\/6 + 3*a**2\/2 + 11*a. Is x(-4) 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 1099236?\nAnswer: 2, 3, 47, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -0.48?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 822 - 474. What is the remainder when f is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 7 - (1 + (0 - 7))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 30 + 1 + 60*i - 28*i.\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1057 + -1030. Solve 57*n - t*n - 120 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -3)\/((-20)\/32).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 5, 101, -5.\nAnswer: -5, -4, 5, 8, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 5*a + 8. Let p be q(-6). Suppose d + 4*k = 4*d - 79, -2*d - 4*k + 26 = 0. Suppose 5*c - d = p*c. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thjpppttpjjtnjppjtj. Give prob of sequence jthn.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*y**2 - 22*y**2 + 33*y**2.\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -3. Let c be 2\/1 - 4 - -14. Let v be 13\/3 + (-4)\/c. Solve q*i = 9 - v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 14*w + 4. Let d be i(-14). Let h(c) = c**3 - c. Let p(q) = -5*q**2 + 6*q - 3. Let b(g) = -h(g) - p(g). Determine b(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -66 - 284. Let z = g + -34. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m**2 + 3*m**2 - 3*m**2)*(0 - 16 - 12) to the form x + b*m + d*m**2 and give d.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10378 is divided by 83?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 14. Is (q + (-21)\/(-6))*422 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*c - 3*c - 5*h - 13, 0 = 3*c + 3*h + 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 217*d = 222*d - 24, -5*l - 3*d = 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3474, 6952, 10432, 13914, 17398?\n\"Answer: n**2 + 3475*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*b - 11 = -0*b, 7 = 3*q + 2*b. Solve -3*x - 14 = -4*c, -q*x + 2*x = -2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*a - 19 = -62*a + 61 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2296403 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6305\/1012 - 5\/253. Find the common denominator of c and -15\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8679 - 8301. Calculate the least common multiple of 189 and z.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 9*q = 7*q - 3, 0 = -4*d + 3*q - 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (10 - (-12 + 8 - (0 - 9)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**3 + 38*y**2\/7 + 68*y\/7 + 16\/7 = 0?\nAnswer: -1, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrw when three letters picked without replacement from mmmmrmrmmwwmrrwrmwr.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 847404.8099956 - 847405. Let v = 0.15 + 0.04. Let h = u + v. What is h rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 12*d**2 - 5*d + 7. What is the lowest common multiple of w(-3) and 8?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0647 times 155881\nAnswer: -10085.5007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 503440767 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.078 and -1?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 3*l + 5. Let k be h(4). Let w = -5 + k. Solve -2*v + w*v + 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42603 or 42631?\nAnswer: 42603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b6553 (base 12) in base 11?\nAnswer: 303779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 9*u**4\/4 + 2513*u**3\/2 + 75329*u**2\/4 - 20091*u = 0.\nAnswer: -543, -148\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -70201, -140401, -210601?\n\"Answer: -70200*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(9\/9) + -1 + 45. Calculate the highest common divisor of 18 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 4. Suppose -100 = k + k + a, -4*a = -4*k - 212. Let c = k - -56. Determine z(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/7540*143225\/(-14). Let u = -1\/754 - n. What is the common denominator of 17\/7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131404 (base 5) to base 7.\nAnswer: 21150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13928, -27779, -41620, -55451, -69272?\nAnswer: -83083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 8:06 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, 3, -5, -371, -2 in decreasing order.\nAnswer: 5, 3, -2, -5, -6, -371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -7) + 2 - (-51)\/1. Let w be (6\/h)\/((-15)\/(-40)). Sort w, 0.3, 8\/9 in increasing order.\nAnswer: w, 0.3, 8\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4)\/i)**(5\/12)*i**(-3\/8)\/i*i\/(i*i\/(i\/i**(-4\/9)*i)))\/((i**1)**(-3)*i**(-4\/5)*i**(-1\/2)) assuming i is positive.\nAnswer: i**(2771\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, f: 2}. What is prob of sequence ff?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 - 2*i**2 + 3*i**4 + 6*i**2 + 36 + 2*i - i**4 to w + l*i**3 + a*i**4 + v*i**2 + m*i and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/3)\/((z*z**(-3)*z)\/z)*z*z**(-5\/4)*z**(-5) assuming z is positive.\nAnswer: z**(-43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/32 (b) -1098107 (c) -3\/5 (d) 9 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 588 = -v, -p - 4*v = -0*v - 162. Suppose i - p = 4*g, -4*g - 54 = 2*i - 358. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.45*-1\nAnswer: 6.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from {n: 7, b: 2}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 2. Let s be 0 + 0 + (-3)\/9*-33. Suppose -s*i - 95 + 7 = 0. Give v(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v = -12. Let m be 15\/(-6)*v\/10. What is the tens digit of (27\/2)\/(m\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2006*p + 3587*p + 4160*p + 1125*p + 159*p as y + a*p and give a.\nAnswer: 7025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and -0.167.\nAnswer: -2.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131786.\nAnswer: 2, 3, 20959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 6. Let x be (w - (2 - 408)) + -3. What is x rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 214 - 212. What is the closest to n in 0.5, -0.02, -4, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + (-4 + (sqrt(272) - (sqrt(272)*2*-6 - sqrt(272))))**2 - ((-3*5*sqrt(272)*-1)**2 + -6*(-1*sqrt(272))**2*-1).\nAnswer: -9511 - 448*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(5280\/(-64))*2\/(-20)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1354.\nAnswer: -1\/1354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + u + 5 = 0, 7*q - 2*u = 2*q + 19. Solve -12 = 2*d + 3*j - 26, -q*j = 5*d - 26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571 less than -1076?\nAnswer: -2647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429173 is divided by 107285?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55611 or -55606?\nAnswer: -55606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = -0*w. Suppose 0 = w*u + 5*i - 290, -4*u + 2*i + 216 = -2*i. Calculate the greatest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 33)*(-10 + 20 + 24)*(-2 + 3 - 3)*(0*l + l - 2*l + (4 - 1 - 1)*(4*l - l - l) + 3*l - 2*l + 0*l).\nAnswer: 7888*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 127315105?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 5, -1547, -5 in descending order.\nAnswer: 5, -5, -10, -1547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.29? (a) -0.1 (b) 0.5 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.31 and -172094.\nAnswer: -53349.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 40*v**3 + v**2 - 5*v - 9. Let x(a) = -10*a**3 + a + 2. Let b(h) = -2*c(h) - 9*x(h). Let r be (-6)\/(-3) + 0 + -1. Is b(r) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Let w(v) = v**2 + 4*v - 1. Determine -4*q(h) + w(h).\nAnswer: h**2 + 8*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 151*t + 42901. Let q be z(-284). Suppose 5*l - l = 168. Solve 5*y - q = -l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -5 - (-177)\/57. Let h = 0.04 + 0.36. What is the closest to 0 in o, h, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 87, 89, 91, 93, 95?\n\"Answer: 2*q + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k + 95 = 5*i, 0 = 3*k + i - 47. Let r = -8 + k. What is the remainder when 17 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105655 divided by 21131\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 21273399153889\nAnswer: 21273399153888.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 411006 (base 7) in base 10?\nAnswer: 69978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 139917 smaller than 139917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30397, -29337, -27581, -25129?\n\"Answer: 348*v**2 + 16*v - 30761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372849978?\nAnswer: 2, 3, 109, 570107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/8 + (-7)\/(-4). What is the nearest to 1 in v, 3\/5, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.04 (c) 2\/523\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 15*s - 27. Let i(w) = 120*w. Let d(u) = 238*u + 4. Let v(h) = -d(h) + 2*i(h). Give 4*b(k) - 27*v(k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.8, -30, -774?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-5))\/(2\/(-5)). Let r = 966.511 - 967. Let l = r + -0.511. Which is the smallest value? (a) 1 (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81\/4*w - 3\/2*w**4 + 45\/4*w**3 - 27*w**2 + 0.\nAnswer: -3*w*(w - 3)**2*(2*w - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 4. Let u be a(-7). Let y be 10\/u + 8\/12. Find the second derivative of y*v**3 + 3*v + 3*v**3 + 5*v**4 - 7*v**3 wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 10:32 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -637*n - 4 = -639*n. Solve 2*i - 2 = n*o, -3*o = 3*i - 2*o + 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -55328, -54967, -54606, -54245, -53884, -53523?\n\"Answer: 361*x - 55689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -4.1932015.\nAnswer: 4.1932015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.7 and -905.\nAnswer: -905.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 5*h - 3. Calculate the remainder when 97 is divided by a(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43*s**2 + 32 - 50 + 11)*(-4 + 12 + 39) to the form r + x*s + f*s**2 and give f.\nAnswer: -2021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 - -63. Let j(p) = 12 + 2*p - k - 6. Let m(a) = 1. Let w(y) = j(y) - 2*m(y). Let h(g) = 44*g. Calculate h(w(x)).\nAnswer: 88*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 8. Suppose -2*c + 5*c - 40 = y, j*y = -4*c + 50. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, j: 3, a: 1, t: 4}. Give prob of picking 1 j and 2 t.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1421*k = -1407*k - 2*w + 732, 2*k - 2*w = -96 for k.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81817\/24 - -3407. What is the common denominator of a and -59\/22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/(-4))\/12)\/2\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 35 = 5*h, -2*w + 3 + 17 = h. Suppose 30 = t - w. Find the third derivative of t*q**2 + 45*q**2 - 9*q**6 - 95*q**2 wrt q.\nAnswer: -1080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 403*z**3 - 10*z**2 + 2 - z**4 - z + 4*z**4 - 405*z**3 in the form p*z + s*z**2 + a + l*z**3 + t*z**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-9) + (-91)\/42. Let k be (3 + (-68)\/22)*-2. What is the second smallest value in i, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/2 - (-6 - 10\/(-5)). Let m(o) = o + 12. Let h be m(s). Let b(x) = -x**2 + 8*x - 4. Let i be b(6). Solve h*k = -3*a + 6*k - 6, 5*k + i = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 0.1 (c) -1348.9 (d) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -12*y + 7*y + 5 - 18, -4*y - 50*y = 4*w + 254 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l**2 + 7*l + 3*l**3 + 6*l + 1 - 5*l - 4*l**3. Suppose -5*s + 0*s + 4*r = 55, -4*r = -3*s - 41. What is w(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 2*s**2 + 181*s - 2*s**2.\nAnswer: 2*s**2 + 181*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + c**2 + 1. Let a(r) = 2*r**3 - 4*r**2 - 12. Calculate -a(x) - 4*h(x).\nAnswer: 2*x**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -530, -1069, -1614, -2165, -2722?\nAnswer: -3285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-1)\/l)))**(-4\/43))**(3\/5)*((l**(-1\/4)*l*l)\/l)**(3\/38)\/(l*l*l*l*l**(-2\/3)*l*l**3) assuming l is positive.\nAnswer: l**(-702211\/98040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-2)\/3)\/((-232)\/3480). Suppose 0 = 5*k - 4*x - 29, 3*k - 2*k + 4*x - 1 = 0. Solve -k*r - y = -0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 9:04 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**5\/60 + s**4\/4 - s**2. Let g = -16 - -14. Let l(u) be the first derivative of u**2\/2 - 1. Determine g*b(p) + 11*l(p).\nAnswer: -2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/13, -3, -1, 3\/7, -5 in increasing order.\nAnswer: -5, -3, -1, 5\/13, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 5*y + 3. Let t be m(-3). Let r(j) = -j**3 - 2*j**2 + 3*j + 1. Let z be r(t). Solve -z - 8 = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -122*l**3 - 6*l**2 - 15*l - 18. What is k(-2)?\nAnswer: 964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*a - 23. What is the remainder when a is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9*(-219)\/1314\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 25 = -2*k, 5*k - 203 + 198 = 4*y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, w: 8, g: 4}. What is prob of picking 1 g and 1 b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Let v = 5867 + -5865. Suppose 4*f + 214 = m*c, 5*f - 1 = -v*c + 222. Calculate the remainder when c is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85 (base 10) to base 15.\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5375860 and 10621000?\nAnswer: 3494309000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/20 - 2098\/10. Let n be (4\/(-3))\/(4\/c). Find the common denominator of -103\/6 and 4 + -3 + n\/(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1. Let b(o) be the first derivative of -11*o**2 + 5*o + 2143. Determine -b(t) + 6*r(t).\nAnswer: 22*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9953399mg to micrograms.\nAnswer: 995.3399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u + 28. Suppose 5*c + 5*w - 2*w = 11, 2*c + 4 = -4*w. Put c, 1, u in descending order.\nAnswer: u, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5332 from -1.6.\nAnswer: -5333.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 73.5?\nAnswer: -73.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 6*z + 15*z)*(-3*z**2 - 2*z**2 + 3*z**2).\nAnswer: -30*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - (-2 + (1 - 0))\/((-54)\/(-115325424)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11535, 92339, 311653, 738729, 1442819, 2493175, 3959049, 5909693?\nAnswer: 8414359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -799 + 798. Let r(u) = 6*u - 9. Let b(m) = m - 1. Let a(z) = -12*b(z) + r(z). Let i be a(w). What is the highest common divisor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - -3 - (-45)\/(-47). Let w = l - -37\/235. What is the nearest to 1 in -4, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 2. Let f(b) = 7*b - 12. Let p(t) = -4*t + 11. Let o(s) = -2*f(s) - 3*p(s). Calculate o(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 161 - 161.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.204 rounded to one dp?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -30?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-37)\/(-6) + 2\/(-12). Let z = b + 4. Suppose -4*y + z = -2*y. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(360) - (sqrt(360) - (sqrt(360) + 2*sqrt(360) + sqrt(360)))))\/(sqrt(9) - (sqrt(441)*-1 - sqrt(441))))\/(6*-3*6*sqrt(40)\/sqrt(5)).\nAnswer: -sqrt(5)\/405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -55173*f**3 - 13*f**2 + 5*f - 25566157 wrt f.\nAnswer: -165519*f**2 - 26*f + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 2 + -3 - -2. Let t(v) = 2*v**3 - 3*v**2 - v + 2. Let y be t(f). Suppose -3 = -4*l + 1. Solve -y + l = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4 + 4*b**2 - 5*b + b**3 + 9*b + 2. Let r be l(-3). Suppose 0 = 3*x + 4*o - 751, x - r*x - 4*o = -494. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**5\/60 - o**4\/8 - o**3\/2 + o**2 - o. Let l(q) be the first derivative of r(q). List the prime factors of l(6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*m + 39272 = 1690. Calculate the remainder when m is divided by (-16)\/56 + (-513)\/(-7).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -1\/8, -50.48?\nAnswer: -50.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26329270?\nAnswer: 2, 5, 11, 239357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31683 - 2*v**3 - 64033 + 31934 to the form b*v + f + m*v**2 + w*v**3 and give f.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/8)*h*h**15\/h)**(2\/157)\/(((h**(1\/2)\/h)\/h)\/(h*(h\/(h*h*h*h*(h**(-5)*h)\/h*h*h))\/h*h)*((h\/(h**(-2)*h))\/h)**(-7\/11)) assuming h is positive.\nAnswer: h**(22931\/6908)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.4, 0.083 in descending order.\nAnswer: 1\/4, 0.083, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 + 231 = y + 4*q, -2*y - 2*q = -8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36096 - -36100. Let q = -8 - -5. Sort q, 0.047, w in increasing order.\nAnswer: q, 0.047, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -53 and -0.8356837064?\nAnswer: 52.1643162936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 + 8*u + 1. Let b = 8 - -10. Let m = -21 + b. Let h(x) = 3*x**2 + 16*x + 2. Let d(n) = m*h(n) + 5*f(n). Give d(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299971*f - 1431273*f - 181095*f.\nAnswer: -1312397*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34840\/7539 + 35\/359. Let u = 27\/7 + v. Which is the nearest to -0.2? (a) -0.5 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 3*u - 5. Let v be c(-4). Let o be (v - 5)*2\/6. Let a be 4\/(-26) + (-925)\/325. Sort a, o, 7.\nAnswer: a, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/6 - 2182994*m\/3 + 2382731402018\/3 = 0. What is m?\nAnswer: 2182994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 22 = -14. Suppose x - a = -0*x - v, 3*v = -x. Is ((-3026)\/51)\/((-2)\/x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-12)*h**(-12\/5) assuming h is positive.\nAnswer: h**(-67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 734381\/137260 + -2\/6863. What is the common denominator of 19\/4 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 779710033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 54*v - 592. Let d be r(11). What is the nearest to 1 in -3, -10\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/904 and 109\/2995630.\nAnswer: 11982520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**3 + 2*u**2 + 3*u + 13. Calculate the remainder when (-561)\/(-9) - (-2)\/(-6) is divided by s(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*s + 32485 = -74*s + 223*s - 8*s for s.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 2*w - 10 = 0. Suppose 3*j + w*c - 797 = 0, 5*j + c = 362 + 957. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30 - (2 + 3)) + -12\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/2 - 805575*j\/2 + 12082275.\nAnswer: 3*(j - 268495)*(j - 30)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 42450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7))**(-6\/29)\/(((j\/(j*(j\/(j\/((j\/j**(-9))\/j)))\/j*j))\/j)\/j*j**(-3)) assuming j is positive.\nAnswer: j**(448\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1693814.\nAnswer: 2, 97, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -572 * -111725.\nAnswer: 63906700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 8*p - 7 + 56 - 35 - 14.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 944?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 3*j - j - 15 + 6*j. Calculate the least common multiple of d(18) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 422972017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 2:05 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3983799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c**3 + 9*c**2 + 5*c - 17. Give u(-4).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 769879927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2. Let i(h) = -7*h + 3132. Determine y(i(o)).\nAnswer: 49*o**2 - 43848*o + 9809424","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 423 = 6*u, 4*u + 326 + 2197 = 31*k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2)\/(16\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*k + 14*k + 14*k)*(k - 1 - 2*k + 2) - 1663*k + 1663*k + 55*k**2.\nAnswer: 63*k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*i - 228 = 51*i. Let o = 80 + i. Calculate the remainder when 79 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1272 = 2*z + 2*z + 4*c, 939 = -3*z + 2*c. Let w = -189 - z. Calculate the greatest common divisor of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.417 - 0.347. Suppose 17 = 2*y + 4*w - 9, 37 = 5*y + 3*w. Suppose d = 5*b - 4 + 10, -d - 14 = y*b. Which is bigger: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, j: 1, q: 1, g: 2}. What is prob of picking 1 q, 1 g, and 1 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -68*u + 3902. Let a be q(57). Calculate the highest common factor of 6266 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -44, 155, 354?\n\"Answer: 199*s - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 730.7 less than 0.1?\nAnswer: -730.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*sqrt(240))\/sqrt(12) - (2*sqrt(10)\/sqrt(2)*1)**2)*1.\nAnswer: -100 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.754629mg?\nAnswer: 0.000000005754629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*o + 2943, 4*b + 6*o - 3948 = 2*o. Let d = b + -565. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 3. Let o be s(5). Solve 2*m = -5*j - o*m - 2, 0 = -5*j + 4*m - 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20\/21 - -26\/105. Let o = 175.4 - 178. Which is the third smallest value? (a) -1 (b) o (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2))**(-28)*(q**(1\/4))**(-14\/3)*(q\/(q*q**2))**40*(q**(-1\/3))**(6\/19) assuming q is positive.\nAnswer: q**(-2881\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q - 6 + 58 = 3*a - 13*q, -3*q = -183*a + 2922 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34678 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 4. Does 19 divide 9\/(-6) - 158\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 761 take away -74804709285?\nAnswer: 74804710046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 149 + 596. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 - z**2 - z - 2. Let a be v(2). Suppose -6*j + 2*j + a = 0. Let t(g) = -g + j*g - 2*g. Let l(m) = 2*m. Give l(t(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/9)*t)\/(t**(-5\/7)\/t*t))**(-4\/13)*(t*t*t*t\/(t**(-2)\/t))**(-45)*(t\/(t\/t**1))**(2\/91) assuming t is positive.\nAnswer: t**(-258707\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*r**2 - 167*r - 1 + 0 + 167*r with respect to r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 15*p - 1. Determine z(-3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 36118?\nAnswer: -36118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*6*(5 + sqrt(320)*-3 + (sqrt(320) + -2 + -3 - sqrt(320))) + 0)**2.\nAnswer: 4320*sqrt(5) + 933145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 223 in 5, 0.5, -196.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 1 - 3. Let q(v) = 0*v + 13 + v - n*v. Let d(r) be the first derivative of 2*r**3\/3 - 2210. Calculate d(q(c)).\nAnswer: 2*c**2 - 52*c + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47772*-7835.\nAnswer: 374293620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 253 = 2*v - 2*g, -206 = -4*v - 2*g. Let r = -31 + v. Suppose 0 = -0*u + 5*u - r. Solve u*y + 0 = 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 + 327 = 11*p for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((5 - 5)\/(1 + -2))\/(-2). Let t(r) be the second derivative of 9*r + 1\/6*r**4 - 1\/6*r**3 + 0*r**2 + w. Determine t(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.75 + 73.25. Let p = b - 3. Let m = p + -72.00062. What is m rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1bb + -310b6?\nAnswer: -312b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*y**3\/5 - 882*y**2\/5 + 5292*y\/5 + 8232\/5 = 0. What is y?\nAnswer: -14\/11, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, -5, 10, 187, -3\/5?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k. Let o be p(6). Suppose -h = 2*v + 3*v + 36, 0 = -5*v - 4*h - o. Let u = v - -12. Solve u*n - 2*a - 4 = -22, -2*a + 10 = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.525 plus -302.8?\nAnswer: -302.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 60 = 4*g, 0 = 3*l - 4*l + g + 20. Let b = 0 + -2. Let d = 5 - b. Calculate the remainder when l is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 10554510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-3*(-1)\/3 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40902 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -665894 and -0.3?\nAnswer: 199768.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -28*i - 1. Let m(s) = 19*s**2 - s**2 - 25*s**2. Let l(k) = k**2. Let y(c) = 5*l(c) + m(c). Determine y(u(h)).\nAnswer: -1568*h**2 - 112*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -286*s**3\/51 + 8*s**2\/17 + 3032. Factor n(u).\nAnswer: -2*u*(143*u - 8)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aab when three letters picked without replacement from bdatrtbam?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 123.7 (b) -5 (c) 2.7 (d) -3829\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 5528?\nAnswer: 60808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a8 (base 14) to base 7.\nAnswer: -3601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 292? (a) -1 (b) 6\/17 (c) -1122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 18 = -4*a, a - 27 = -4*a + 2*j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30869*h + 10297*h + 10293*h + 10278*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -1\/15*l**6 + 4\/105*l**7 - 4\/3*l**3 - l**2 + 0*l - 8\/15*l**5 + 1\/84*l**8 - 7\/6*l**4 + 0. Factor h(s).\nAnswer: 4*(s - 2)*(s + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 11*p + 29. Let r be i(13). Suppose -1272 = -r*g + 2811. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 78660.0703 to the nearest 1000.\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -25. Let i be 12\/10*(n + 0). Let w be 616\/i*3 - -4. Round w to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5526 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24415423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/244 or 1?\nAnswer: -1\/244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 40608 and 0.145.\nAnswer: 40608.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 35*g**2 - 2*g + 1. Let f(m) = 233*m**3 + m**2 + 17*m - 17. Calculate the remainder when f(1) is divided by v(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 10*v - 26*u - 613, -4*v - u - 127 = 4*u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5851504 millennia in centuries?\nAnswer: 5.851504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 559441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110011010110 + -1000011110?\nAnswer: 1101010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Express 7959*l - 681 - 681 + 2071 - 709 as r*l + b and give r.\nAnswer: 7959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -55*n**3 + 147733*n**2 - 8058*n = 0. What is n?\nAnswer: 0, 3\/55, 2686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.037672 + 0.0342939. Round c to five decimal places.\nAnswer: -0.00338","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 20 = -2*n + 21, c = 4*n - 23. Calculate the greatest common factor of n and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(171) + 3 - sqrt(19) - sqrt(19)))**2 + -2.\nAnswer: 4*sqrt(19) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 652, 1237, 1814, 2389, 2968, 3557, 4162?\n\"Answer: r**3 - 10*r**2 + 608*r + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-52 - (26 - 77))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.19070531 to two decimal places.\nAnswer: -1.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 0 - (-999)\/329. Let f = h - 23455\/2632. Let c = f - -129\/8. Calculate the common denominator of c and -49\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -13. Let g be 17*q + 6\/(-3). Suppose -4*f - 4*o = -112 - 248, -o + g = 2*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 28602?\nAnswer: 85806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 16*b**2 + 306*b - 673. Calculate z(27).\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 5*h - 3*h)*((0 - 2 + 4)*(-4 - 9 + 3) + (-3 + 5 + 3)*(-24 + 20 - 16)).\nAnswer: -360*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.69084 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*a + 19*a - 22 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*d - 78. Let n be d\/5 + 2\/5. Solve 12 = -n*k, 3*p - k - 12 - 1 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*t + 10, 0 = -d + 4*t - 3 - 5. Suppose -2*l + q - 4 = -3*q, d = 3*l - 4*q. Solve 0 = 4*s - l*s + 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + -4 - -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.925 - -28.9. Let z = s - 19. Round z to 3 decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 12:52 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - w**2 + w - 2. Suppose -3*c + 1185 = -0*c. Let z be c\/20 + 3\/12. Let g be 5\/(z\/8) - 0. What is v(g)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j**3 + 3*j**2 - j + 2. What is the remainder when o(2) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*b = 369, 4*j - 1476 = -6*b + 2*b. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3 (b) -5 (c) 2 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 305 + 2*w**2 + 19 + 6 - 116*w.\nAnswer: 2*(w - 55)*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 29026?\nAnswer: 29028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*sqrt(1331)*-6 + 3 - (-4 + sqrt(1331)*-1 - sqrt(1331))*4)**2.\nAnswer: -1289130 + 18392*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**6 + k**4 - k - 1. Let m(u) = u**2 - u + 0*u**4 - 2*u + u**4 + 2*u - 1. Let i(a) = -5*m(a) + 5*t(a). Find the third derivative of i(b) wrt b.\nAnswer: -600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 554576 times -2?\nAnswer: -1109152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (5 - 28) + -10 + (-11 - 3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8024 = -9*m + 6187. Calculate the remainder when m is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*t - 54 = -5*b, -14 = -2*b + 5*t. Let d(l) = -3 + 3 + 12*l**2. Let o be d(-1). What is the highest common divisor of o and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 - 17*p + 5. What is a(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140088 and 191256?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + -1 - (sqrt(8)*-2 + sqrt(8)) - (-5 + -2*sqrt(8))) + 0)**2.\nAnswer: 120*sqrt(2) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 0.1626107?\nAnswer: 0.8373893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5556825*j**3 - 1960704?\nAnswer: -16670475*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*o**2 - o**2 + 48*o**3 - 16*o**4 + 20*o - 12*o.\nAnswer: -4*o*(o - 2)*(2*o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37525 (base 8) in base 10?\nAnswer: -16213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*(3*sqrt(76))\/sqrt(4) + (-1 + sqrt(76) - (-5 + (sqrt(19)*-1)**2)).\nAnswer: -15 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - m**2 - 1 + (5*m + 2*m - 5*m)*(2*m + m - 5*m) - 5*m**2 + 1 - 1)*(-65 - 272*m + 535*m - 268*m).\nAnswer: 50*m**3 + 650*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + n**2 + n + 8. Suppose 3*d = r - 26, -3*r + 3*d + 2*d = -62. What is the remainder when r is divided by h(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d - 2. Let q be a(2). Let v(c) = -c**3 - 13*c**2 - 14*c - 10. Let o be v(q). Let x = -4 + o. What is the lowest common multiple of x and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 214305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8*v**2 + 4*v. What is k(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(1885\/261))\/((-78)\/(-10)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019924377 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g + 3*g + 6 - 5 + 6*g - 72. Give x(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 741 = 4*h - 3*w, 0 = -h + 3*w + 4 + 170. What is the lowest common multiple of h and 6?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*m - 2*m = 12, 0 = 3*m - 12. Suppose i*f - 3*f - 9 = 0. Let y = 117 - 45. What is the greatest common factor of y and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4781940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 17*r**2 - 50*r + 27. Determine u(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 1. Let h be w(0). Let k = -28013 - -28008. Which is the closest to 0? (a) k (b) h (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18545, -66128, -145441, -256490, -399281, -573820, -780113, -1018166?\nAnswer: -1287985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -1, -26, -85, -190, -353, -586, -901?\nAnswer: -1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y + y**2 - 14*y**2 - 19 - 90*y**3 + 6*y + 91*y**3 - 4*y. Give l(13).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468134 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + -2)\/((-3)\/(-87)). Let s = -27 + q. Suppose -s*m + 5 = 2*m - w, -19 = -2*m - 5*w. Calculate the smallest common multiple of 9 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-312)\/(-21) - (-4)\/28. Suppose -15 = -3*p + 5*a, 0*p - x = -2*p + 5*a. Suppose p = -5*o + 289 - 94. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**3 - 10*o**2 + 8*o - 3. What is the remainder when w(4) is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13412082*i**4*p + 280017*p - 2 wrt i.\nAnswer: -53648328*i**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -408563704*m**6 + 185*m**2 + 19180*m + 8 wrt m.\nAnswer: -49027644480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 194*a - 17 = -195*a, -4*a = -2*g + 12 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b - 7. Let l(y) = 65*y**2. Calculate h(l(r)).\nAnswer: 195*r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3*sqrt(125) - sqrt(125)))**2.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 27 = -o + 2*o, -4*o + 43 = -3*s. Let y(f) = f - 5 + o - 2. Let u(x) = x**2. Calculate y(u(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 19*q - 23*q + 5*j, -j - 7 = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.36, 14, 18847?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3 - y + 4 + 1. Let t be (-8)\/6*18\/(-8). Determine n(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -19 - 30 - 70 + 7*d - 66. What is the remainder when 21 is divided by k(27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (110\/660)\/((-1)\/18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001073972568 to 7 dps.\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 22*p + 5*p**2 - p**3 + p**2 - 11*p - 16. Suppose -2*n + 5 - 1 = 0. Calculate the smallest common multiple of n and r(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/2 + -2 + 2 - 486036\/162081. Are m and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 308 and -2.6.\nAnswer: -800.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 7*s - 100*i + 102*i, 5*i = 4*s - 197 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12564+7\nAnswer: -12557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/75*(-45)\/(-9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -2, -5, 5, -2140 in ascending order.\nAnswer: -2140, -5, -2, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 9:13 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -23 (b) 4846 (c) -79 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - c**2 + c - 2. Let s be 2\/(-6)*-6 + -3 + 13. Suppose s = -9*h + 30. Let q be (-91)\/35 + 3 + h\/(-5). Calculate x(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1469 divide 5486715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*n**3 + 33*n**3 - 27*n**3 + 3*n**3 + 2*n**3 - 6*n**3 + (5*n - 3*n + n)*(19*n**2 - 7*n + 7*n).\nAnswer: 42*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.1 - 1.9. What is the nearest to 0 in -1, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -186*d*l**2*t - 2*l**2 - 2*l*t + 11*t wrt d.\nAnswer: -186*l**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, g: 4, v: 2, a: 1, y: 3}. Give prob of sequence ssy.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(7\/4)*p)\/p**18*(p\/(p**(1\/16)*p))**15 assuming p is positive.\nAnswer: p**(-259\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13623, 54493, 122607, 217965?\n\"Answer: 13622*l**2 + 4*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 189244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f + 17. Let h be y(4). What is the closest to 1 in -0.08, -4, h?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/28 + (-555)\/(-385)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3363 + 31657?\nAnswer: 26274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(-g + 3*g - g)*(-2 - 2 + 1)*(0 - 1 + 3) as n*g + i and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1884 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 30 = -t - 2*y, 2*t = -2*y + 20. Suppose t*j - 6 = 54. Solve 0*p = -4*p + j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 - 57*j**3 - 390*j**2 + 6600*j.\nAnswer: 3*j*(j - 20)*(j - 10)*(j + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 - 312 = 32*r + 1009 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - h = -4*m - 8, 3*m - 2*h - 17 = 0. Find the third derivative of 6*t**2 + 7*t**m - 9*t**2 + 12*t**2 wrt t.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b - -1?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 + 54. Suppose 13 = b*n - 15. Solve -12 = n*g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2959, 2957, 2953, 2947, 2939, 2929, 2917?\nAnswer: 2903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -69.8.\nAnswer: -66.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*c**2 - 174*a*c*q + 8151*a*c - 65*c**2*q + 15483*c**2 wrt c?\nAnswer: 4*a - 130*q + 30966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -199*c**3*z**3 + c**2*z**2 + 36*c**2*z - 2*z**3 wrt c?\nAnswer: -1194*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289250.\nAnswer: 2, 5, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - (-20596)\/570 - (-176)\/80.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10636881 is divided by 4952?\nAnswer: 4937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/4)\/((-2)\/144). Calculate the highest common factor of 60 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 17*u - 20. Suppose 4*g - g - 9 = 0. Let a(o) = 2*o**3 - 6*o**2 + 5*o + 4. Calculate the remainder when a(g) is divided by c(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -256*k + 253*k, -5*k = 2*a - 195. Solve a = 33*n + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3*-2 - (-39)\/13)*-149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/270*30\/(-18)*3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -45705084 * -5\nAnswer: 228525420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7b7 + 7a110?\nAnswer: 79626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**2*l**3 + f**2*l**2 + 10*f**2*l - 26*f*l**5 + f - 2*l**4 wrt l?\nAnswer: -18*f**2 - 1560*f*l**2 - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 307966 and 308138?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xyz when three letters picked without replacement from {y: 1, x: 4, z: 4, r: 10}.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25040.\nAnswer: 2, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*m - 3 + 3*m**2 + 0 - 9*m to the form d + l*m + g*m**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 4*o - 5. Let m be u(-3). Let d(r) = -r**2 - r - 1. Let n(i) = i**3 - i**2 - i - 1. Calculate m*d(z) + 2*n(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 8*z**2 - 7*z - 6. Let r be (2 + -4)\/(6\/(-27)). Let g be q(r). Is 188 - (-1)\/(4\/g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000921 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 q when three letters picked without replacement from qooooxwxqffooqxoqw?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -87*q**2 - 1. Let i be a(1). Let x be i\/(-3) + 4\/6. Suppose -6*p + p = -x. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -16*q**2 - 14*q + 2. Let t be g(-3). Let o be (14 - 10)*t\/(-5). Let n = 14 - -6. Calculate the greatest common divisor of o and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a + 5*a - 4*a + 3*a - 1. Let o be l(2). Let s = -8 + 11. Calculate the greatest common factor of s and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 50, 2, 8\/93, -5?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/5554156 and -73\/584648.\nAnswer: 11108312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**2 - 1. Let n = -22 - -20. Let g(p) = 3 + 1 + 4*p - p - 4*p + 13*p**2. Calculate n*g(m) - 7*u(m).\nAnswer: 2*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*o - 20, -4*o + 2 = -6. Which is greater: 15 or n?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54456 or 58134?\nAnswer: 54456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -178*j - 40. List the prime factors of r(-6).\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-1) - (401 - 1). Let p = 1563 - 15609\/10. Calculate the common denominator of (-8)\/44 + 731\/x and p.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -a + 5*g, a = -200562*g + 200560*g - 22 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8*b**2 - 24*b - 4. Let n be p(-2). Suppose -r - 1 = -5. Suppose -d + r = d. Which is bigger: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + 5*v**2 + 3*v**2 + (2*v - 2*v - 2*v)*(-4 - 2*v + 4) - v**2 + 3*v - 3*v - 4*v**2 - v**2 + 3*v**2)*(3*v + 2 - 2).\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.2 + -21.6. What is o rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.69 * -0.09\nAnswer: 0.1521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 71 + (-5)\/(30\/(-6)). Suppose -i = -18*u + 72. Does 2 divide (u\/48*33)\/((-2)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510920.\nAnswer: 2, 5, 53, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2112.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-231)\/21)\/11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*y - 12*y = -3*y - 218751. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000093829 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4486396?\nAnswer: 2, 1121599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 348 * -9439.\nAnswer: -3284772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5124)\/(-49) + -105)\/(3\/553).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301616330?\nAnswer: 2, 5, 61, 383, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 92\/821 or -1?\nAnswer: 92\/821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -133134133 (base 5) in base 6?\nAnswer: -22304110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -3*u**5\/10 + u**4\/12 + u**3\/6 + u**2\/2 - 9*u - 6. Suppose 2*c - 2 = -4. Calculate n(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 780 + 100?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 17*t**2 - 66*t - 17. Calculate w(15).\nAnswer: -557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-10 - (9 + -18)) + 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37482452359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 83*q + 578. Let n be z(-6). Solve -n*c - 27 = -125*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 3*v**2 + 10*v - 3. Let k be t(-5). Find the common denominator of (-201)\/126 - (-1 - 4\/k) and 113\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/11155 and 83\/3680.\nAnswer: 356960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**3 + 2*a**2 + 6*a - 5. Suppose -18 = 16*q - 21*q + 3*u, -3*u - 15 = -4*q. Give r(q).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/75 and 22\/560205.\nAnswer: 2801025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 612 + 662 = 46*t, -5*a = t + 3*t - 125 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7894915?\nAnswer: 5, 7, 225569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-56) - (-10)\/(-14). Let u be (-2)\/((-6)\/99) - (-3)\/a. Solve w + 2*z = -14, -9*w + 4*w - u = 2*z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 0 - 5*b**2 - b**3 - 4 + 3 - b + 6*b. Let l = -99\/2 - -26. Calculate the common denominator of x(-6) and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + -1.9. Let t = 1.95 + a. Let u = t - -0.061. Round u to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1599996 + -0.16. Let n = 0 - p. What is n rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -77070a + 5?\nAnswer: -770705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h**(7\/9)*h)\/h**(-2\/25) assuming h is positive.\nAnswer: h**(1093\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -3*i**6 - 38*i**3 - 2. What is the third derivative of p(v) wrt v?\nAnswer: -1080*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 - 8*p + 9. Let q(t) = -8*t + 42. Calculate the least common multiple of m(3) and q(-11).\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*b + 20*b + 28*b + 86*b - 28*b as k*b + m and give k.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 1. Let y be t(-3). Let o be (133 + y)*(-84)\/15. Find the common denominator of 3 + o\/216 + 0 and 53\/16.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 13*l - 90. What is v(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (96\/15)\/(2\/5). Suppose 5*m + f = 3*h, 0 = 3*m - m + 10. Let z(g) = g**3 + 4*g**2 + 4*g. Give z(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1027*l - 236*l + 26480 = -18607 for l.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4888384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.9*-6.\nAnswer: -17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -0.5 (c) -0.2 (d) -1154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/5 + 925672*w\/5 + 5554752.\nAnswer: -4*(w - 231448)*(w + 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -110924 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1813 and -1827 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 143533 (base 7) in base 10?\nAnswer: 27709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 + 59.251. Round b to two dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -545, -1088, -1631, -2174, -2717?\n\"Answer: -543*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-98*(3048\/(-168) - -18)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by 14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (-42 - (-69 + 26))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 8*u**2 + 9*u - 5. Let b(a) = -5*a**3 - 33*a**2 - 36*a + 20. Let w(y) = -2*b(y) - 9*c(y). Let n be w(7). Which is smaller: n or -8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 1\/2, 99 in ascending order.\nAnswer: 1\/2, 1, 4, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 12. Let s(p) = -2*p + 490. Calculate s(g(l)).\nAnswer: -4*l + 466","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 4. Suppose -2*u + 4*j + 42 = 0, 2*u - 3*j + 7 = 46. Calculate b(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*m - 3*j, 0 = -2*m + 2*j - 3*j + 9. Let x = m - 2. Suppose 2*i = -3*i + 20. What is the remainder when i is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 4*y**2 + 2*y - 6. Suppose -3*i - 2*i - 3*r = 222, 4*r - 152 = 4*i. Let h be 64\/14 - (-24)\/i. Determine c(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5\/29 + 23\/203. Let s = -3.7 + 3.63. What is the closest to 1 in s, -1\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114574452?\nAnswer: 2, 3, 9547871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11313)\/2095 + (-2)\/10 + (-4)\/10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35395 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(4\/3)\/m**(-19) assuming m is positive.\nAnswer: m**(61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50328878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/91554 and -9\/478?\nAnswer: 21881406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -1 - -3) + (96 - 86).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*t - 20 = -t, 12 = 3*t. Let n(r) = -5*r**d + 1 + 3*r - r**3 - 2 + r**2. List the prime factors of n(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -3\/5, -14, -2\/15, -0.91, -0.4?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in -1\/9, 0.4, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 z when four letters picked without replacement from uuuzuzuuu.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -110*d + 5 - 3 + 109*d in the form x*d + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24, -40, -74, -132, -220, -344, -510, -724?\n\"Answer: -p**3 - 3*p**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cddddddd. Give prob of sequence dd.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d**(1\/14)\/d)\/d*d*d*d**(-2\/117)*d)\/(d**(2\/5)\/(d\/d**17)))**2 assuming d is positive.\nAnswer: d**(-117491\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 96 - (-42 + 69 + 16)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 558 - 1098. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*j**2 - 3*j**6 - 2*j**2 - 17*j**6 + 6*j**2 wrt j?\nAnswer: -2400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j**2 - 6*j + 4. Let n(i) = -4*i**2 + 3*i - 2. Calculate 5*n(k) + 3*z(k).\nAnswer: k**2 - 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -3*z - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*x + 244, -5*x + 152 = 3*z - 80. Let o = 86 - z. Solve 6*j + 4 = o*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4047 and 228.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w - 3. Suppose -73 + 9 = 16*h. Let j(t) = 6*t + 2. What is h*j(y) - 3*k(y)?\nAnswer: -3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/7 and -14\/31.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*i**3*w - 258*i**3 + 2*i**2 + 101*w - 5 wrt w.\nAnswer: -19*i**3 + 101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**3 + 3*l**3 + 8 - 142 + 115*l - 547 with respect to l.\nAnswer: 6*l**2 + 115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + (6 - -1))\/(-1). Let t(v) be the third derivative of 0*v + 0 - v**3 - 1\/24*v**4 - 10*v**2. What is t(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, -2\/17 in descending order.\nAnswer: 8, -2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, -34\/3, -31?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1450 and 13728.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -232\/5 - -933\/20. Sort 0.1, v, -1.\nAnswer: -1, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1180358170 or -1180358169?\nAnswer: -1180358169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 931422618 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + x + x)*(-3 + 2*x + 3) - 7*x**2 + 3*x**2 - 6*x**2 - 2*x**2 - 5*x**2 + 19*x**2 to the form f + q*x + b*x**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21758490 and 78390?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 879446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4274159 grams in kilograms?\nAnswer: 0.0004274159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -216656 by -176.\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -0*g - 3483. Let y = 244 + g. What is y rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -2.35898273?\nAnswer: -2.75898273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 - 5. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 4*w - 4 = 0, -5*k - 33*w + 1 = -34*w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -4) + -83*(-5)\/5. Solve 52*a + q - 347 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2518 by 66.\nAnswer: -1259\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - ((-6)\/3)\/1. Which is smaller: t or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(153) - (sqrt(153) - (-2*sqrt(153)*2 + sqrt(153) + sqrt(153)))) + sqrt(153))\/(2*sqrt(576)) + (-5 + (sqrt(1088) - (1 + sqrt(1088))))*-6)**2.\nAnswer: -27*sqrt(17)\/2 + 995379\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -486426, -5, 4, -3 in decreasing order.\nAnswer: 4, -3, -5, -486426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -790*j**4*x + 5*j**2*x**3 - 8373*x**3 wrt j?\nAnswer: -3160*j**3*x + 10*j*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2*h**3 + 236*h**2 - 236*h**2 + h as g*h**2 + y*h**3 + k + f*h and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from qqrqrqqqqqqqqr?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + sqrt(132)*-1)*-2 + sqrt(132) + sqrt(132)*2*-2)\/(5*sqrt(84)\/(sqrt(7) + sqrt(21)\/sqrt(3)*5)) + 2.\nAnswer: -18*sqrt(11)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 3, -7758 in increasing order.\nAnswer: -7758, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = z - 17, -4*z - 4*o + 41 = -3*o. Let k(u) = -7*u**2 + 13*u - 7. Let l(r) = -1 + 7*r + 4037*r**2 - 3 - 4041*r**2. Determine z*l(d) - 6*k(d).\nAnswer: -2*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(21) + sqrt(3024) + (sqrt(3024) - (sqrt(3024) - (sqrt(3024) - 1*sqrt(3024))) - sqrt(3024)))\/(sqrt(252) - (sqrt(252)*-2 - sqrt(252))))*-4.\nAnswer: -sqrt(3)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 10) to base 2\nAnswer: -111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -56*b. Let p(v) = -5*v**2 + 61. What is m(p(r))?\nAnswer: 280*r**2 - 3416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ahppahhhvp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44? (a) 1\/2 (b) -0.57 (c) -5\/4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 16*o**3 + 3*o**2 + 4*o. Let q(p) = -7*p - 60. Let i be q(-9). What is the units digit of c(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 13\/264881?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + 842 - 90 = -271 for l.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 1:15 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13100179 a multiple of 1038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 58992 = 4*a + 7516, 0 = 2*q + 3*a - 33259. Let r = -1933 + q. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 8) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 13*a - 39. Is j(6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510504352 a multiple of 1368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3800)*-1 - ((sqrt(1862)*-2 - sqrt(1862)) + sqrt(1862)))\/(sqrt(20)\/(sqrt(20)\/sqrt(2)) - (sqrt(18) + sqrt(2))*-1) + -1.\nAnswer: -1 + 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1872)*-1*2 - ((sqrt(13) - (sqrt(13) + 2)*1) + sqrt(208) + 1).\nAnswer: -28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) 784 (b) 2\/7 (c) -1320\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18575*j - 427 wrt j?\nAnswer: -18575","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9\/10, 0.3, -83\/3, 4.3, -2\/5?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-2 - (-2 + 1)). Suppose k = 5*h + 4, -2*k = -0*k - z*h - 22. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11498 is divided by 135.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58162049\/468 + 124278. Calculate the common denominator of -23\/624 and p.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18180 + -18183. Sort -132, c, 20 in increasing order.\nAnswer: -132, c, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1. Let y(f) = -1 + 0 - 5*f + 4*f. Suppose 4*m + 2*v - 16 = 0, 5*m + v - 2 = 12. Let c(u) = m*y(u) + s(u). Differentiate c(l) with respect to l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.3798?\nAnswer: -0.07596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*r - 2, -3 = -2*c + c. Let z = 45 + -43. Suppose 0 = 2*i + 4, -2*v - z*i = i - r. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 59338585 and -612?\nAnswer: 59339197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 610912, 610894, 610876, 610858, 610840, 610822?\n\"Answer: -18*t + 610930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 4, 2\/15, -1\/2, 0.5, 18669?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -116183 (b) 5 (c) 2 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -467, 2, -33.\nAnswer: -467, -33, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4864749?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160197 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 9*i = -15*i + 85088. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-138)\/(-24) - (-1)\/4. Suppose o = -u + 42. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 869824235?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 526+-1.8\nAnswer: 524.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w. Let s = 139 - 277\/2. Let z(q) be the first derivative of 4 + 0*q + s*q**2. Give z(t(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2 + 6 - 16*n - 11*n + n**3 + 23*n + 3*n**2. Give g(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 3*b + 4*b)*(-6 + 3 + 5)*(2 - 4 + 3)*(-4*b**2 + 3*b**2 + 0*b**2).\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhtv when four letters picked without replacement from {n: 1, v: 5, t: 1, d: 1, h: 1}?\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942570.\nAnswer: 2, 3, 5, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 12 = -2*j. Let v(p) = p**2 + 10*p + 7. Let k be v(j). Let w = 0.1 - 0.2. What is the closest to w in 1\/8, k, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*b - 29*b + 12*b to f + y*b and give y.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, x: 1, q: 6, r: 2, p: 3}. Give prob of sequence xr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -110203\/16 - -6883. Calculate the common denominator of -24\/7 and c.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 t when four letters picked without replacement from {t: 2, p: 9}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from maayt. Give prob of sequence ttmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(143)*1 + sqrt(143)))\/sqrt(11).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 54*u - 642. Let b(t) = -30*t + 323. Let s(g) = -5*b(g) - 3*q(g). Determine s(26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -5. Is 0.1 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-231363)\/(-82))\/(-33) - ((2 - 0) + 15\/(-6)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2984.33 - -2997. Let u = c + -0.67. Put -5, 1, u in increasing order.\nAnswer: -5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 13\/6*b**4 + 7\/30*b**6 + 0*b + b**5 - 2*b**2 + 2\/105*b**7 + 8\/3*b**3 + 0. Find m, given that p(m) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47737?\nAnswer: 47737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4394.192us?\nAnswer: 4394192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 677774034 divided by 15498?\nAnswer: 43733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 divided by -1130?\nAnswer: 51\/1130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-17)\/(85\/15) + 1*9)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -36443, -72889, -109319, -145727, -182107, -218453?\n\"Answer: g**3 + 2*g**2 - 36459*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**3 - 2*i**3 - 2 + i**3 in the form w*i**3 + z*i**2 + g*i + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -57159940 to the nearest one hundred thousand.\nAnswer: -57200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 196 - 14. Suppose 2*g + 0*g = -n + o, -n - g + 38 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -938\nAnswer: -3\/938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -164529*t - 1151698. Determine w(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 44 - 44. Let s = -4 - -3. Let r be g(s). Which is greater: r or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1509*s**3 - 3022*s**3 + 1509*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3965 = 691*a + 155*a + 3649 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d - d - 4*d + 4*d - 4*d + d - 3*d - 2*d + 2*d - 2 + 2 - d + (3 + 2 - 7)*(-3*d + 5*d - 3*d) + (-4*d + 2*d + 4*d)*(3 - 3 - 2).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/7, -0.1, -0.03, 2\/9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 6.0118.\nAnswer: -1.20236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-5) - 46\/(-6))*24. Let x = -190 + p. Sort -5, 2, -3, x.\nAnswer: x, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/48, -3, 314, 5, -2\/21, -1408?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -4. Let w(h) = -h**2 + 5*h + 2. Let u be w(p). Let t(f) = 5*f**2 - 5*f**2 + 2*f**u. Let z(i) = i**2. What is z(t(m))?\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 7. Let i be f(5). Let d = -2 - -3. Let y be (-7)\/(-42)*3*d. Which is the closest to y? (a) 0 (b) -0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/6)\/((-10)\/9). Let k = -385.4 - -385. What is the closest to k in m, 1, -6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2373*a - 2345*a + 51 = 0, -4*a - 4 = -o + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i - 39. Let k be p(-13). Suppose k = 3*v + 391 - 385. Sort v, 66, 4.\nAnswer: v, 4, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, a: 1, g: 1, q: 4, u: 2, f: 4}. Give prob of sequence uao.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32705261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1654 and 15807278?\nAnswer: 1654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 10. Let y be r(12). Let g(k) = -6011*k**3 - 4 + k + 4*k**y + 13*k + 7. Let l be g(11). What is l rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (15 - (18 + -10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x - 45. Let s(q) = -6*q - 75. Let o(a) = 5*c(a) - 3*s(a). Let p(r) = -105*r + 2. Determine p(o(y)).\nAnswer: -315*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1\/2. Which is smaller: k or 0.03?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4 = c + 6*d, 3*d = c. Calculate the smallest common multiple of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6492450 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1549*-39456.\nAnswer: 61117344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/1099 and 27\/5495.\nAnswer: 5495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 not equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6932, -6927, -6912, -6881, -6828, -6747, -6632, -6477?\nAnswer: -6276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/sqrt(81) - (sqrt(108) + -5)) + 5.\nAnswer: -17*sqrt(3)\/3 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/42 + (1763\/1290 - ((-720)\/(-50))\/12)\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 551945239?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202211000200 (base 3) to base 2.\nAnswer: 1100100000001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) -1\/12 (c) -14418\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 2300354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 454260 by 6.\nAnswer: 75710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 12*l = -2*p - 8, 2*p + 4*l - 9 = -5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 601048.3 meters?\nAnswer: 601048300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -410 + 1?\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05543936 and -264323?\nAnswer: 264322.94456064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7\/((-21)\/12) + 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j**3 - 6*j**2 - 12. Let h(x) = x**3 - 1. Let y(k) = -6*h(k) + w(k). Let l be y(6). Let s be ((l - -2)*-1)\/(-1). Sort 4, s, -1.\nAnswer: s, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**2. Let c(u) be the first derivative of -2*u**3 + 21. What is c(d(z))?\nAnswer: -96*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -172 + 77 + (110 - 79)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -4, -3\/4, -1, 0.04 in ascending order.\nAnswer: -4, -1, -3\/4, 0.04, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74.586 - -74.58645297. What is a rounded to six decimal places?\nAnswer: 0.000453","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 + 28*s + 94. Let w be i(-4). Solve 54 + w = -12*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -16. Let w(y) = -23*y - 4. Let v be w(r). What is the highest common divisor of 14 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25229 - -7061?\nAnswer: -18168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -4521095 = -4521146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -497\/155 or -2?\nAnswer: -497\/155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*v - 20 = 0, -3*z + 2*v + 18 = -9. Let f(a) be the first derivative of a**2 - 17*a + 74. Let r be f(z). Solve r + 1 = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 5*h + 15 = 0. Suppose -v + 151 = h*f, -f - v + 51 = -0*f. Is -20 + 23 + f*14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -175*s**3 + 7*s**5 + 175*s**3 + 2 + (2*s - 2*s + 2*s)*(-22*s**3 + 22*s**3 - 13*s**4) - 2*s**5 + 3*s**5 + 0*s**5.\nAnswer: -18*s**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13 - -19)*11\/2. Let j = c - 30. Suppose -3*y - j*y = -12. Solve y*v - 4*g = 8, -2*g + 3 = -2*v + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (6 - (-10 - -21))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 496 - 1490\/3. What is the closest to x in 58, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28558, -58571, -88584, -118597, -148610, -178623?\nAnswer: -208636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13744 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:53 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-27))\/(((-52)\/1755)\/((-4)\/(-10)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**6)\/r)**20 assuming r is positive.\nAnswer: r**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 10*c. Solve c*s - s = 2*j - 3, j - s = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9956637863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 42. Let r = 65 - y. Let x = 51 - r. Which is the smallest value? (a) x (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*d - 51 = 0, 0*t + t + 4*d = 33. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(77) - sqrt(77)*-1))\/(sqrt(784)\/sqrt(7)) + 3)**2.\nAnswer: -18*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -313*k**6 + 13468*k**5 + 57014266*k**2?\nAnswer: -37560*k**3 + 808080*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m**3 + 11*m**2. Give v(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 871800 rounded to the nearest 10000?\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Is -1 - (-27 - (m + 0)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 84. Let l = -453308 - -453368. What is the smallest common multiple of t and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.59 - 7.55. Let a = 0.16 + r. Let p = a - -7. What is the third smallest value in 4, p, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3554191?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13 + -4.87. Suppose -3*w + 13 = 5*d, -3 - 3 = -w - 2*d. Let r be 3*w\/(-12) + -2. Which is the biggest value? (a) r (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1882 at least as big as -1883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11078 to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 9*y**3 - 66 + 4*y - y**2 + 770 + 3*y.\nAnswer: 9*y**3 - y**2 + 7*y + 651","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -10*w**3 - 3*w**2 - 3*w + 3. List the prime factors of b(-3).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 5*p + 4 - 2 + 0*p - 5*p**2 - 1. What is the hundreds digit of s(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2493 a factor of 184215249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 8*v - v. Let x(g) = g**3 + 13*g**2 + 14*g + 11. Calculate x(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324838382 a multiple of 2989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94720608.\nAnswer: 2, 3, 328891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - (1 - 26)) + -45.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 61411, 60719, 60027, 59335, 58643?\n\"Answer: -692*j + 62103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3152 divide 271964016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -240132400 and -3.637.\nAnswer: -240132403.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 782423 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 2:00 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24954107200 rounded to the nearest 1000000?\nAnswer: 24954000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3488, 6946, 10406, 13868?\n\"Answer: j**2 + 3455*j + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431 + 466 = 7*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71168 (base 12) to base 14.\nAnswer: 3b876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35352593?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 413\/104 + -50\/13. Let j = -0.03 + 5.03. Which is the smallest value? (a) l (b) j (c) -0.18 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/(d*d**(-2\/21)))\/d))**(7\/5)\/((d\/(d*d*d*d*d**(-11\/3)*d*d))\/d**18) assuming d is positive.\nAnswer: d**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1759 + 0*p + 14*p - 1752)*(-3 - 3 + 0).\nAnswer: -84*p - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23694, 96485, 218372, 389355?\n\"Answer: 24548*y**2 - 853*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -37, 5.28, 1669?\nAnswer: 1669","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 1.6392262\nAnswer: -6.5569048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 221975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from {r: 1, g: 5, d: 1, a: 1, y: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 104 = 2*m. Suppose -2*r + m = 3*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/9)\/g)**33)**34 assuming g is positive.\nAnswer: g**(-2618\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289833082?\nAnswer: 2, 7, 11, 61, 30853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*u**3 + 8891803*u**2 + 51*u + 193925 wrt u?\nAnswer: 42*u + 17783606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.67 less than 1195?\nAnswer: 1222.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*d + 10 = 0, -2*w - 3*d - 9 = -6*d. What is the second derivative of 0*a**3 + 3*a + 5*a**w + 37*a - a**4 wrt a?\nAnswer: -12*a**2 + 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 19 = -3*r, -4*r = -2*w + 4*w - 28. Suppose 21*v - 8606 = -r*v. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -7) + (-3 + 20 - -11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -2 + 8 - (40 + -46)) + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -11*i**5\/20 - 13*i**3\/3 - i. What is the second derivative of y(t) wrt t?\nAnswer: -66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-270)\/4*12\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**6 - 110*p**5 + 4*p**2 - 7 wrt p?\nAnswer: 240*p**3 - 6600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 13*s = -13146. Let g = -292 + s. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 17*k**3 + 6*k**2 - 10*k + 7. Let h be q(6). Let c(g) = 22*g**2 + 11*g - 6. Let a be c(-11). Let z = h - a. Round z to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 4:13 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4761 and -1.9382859318.\nAnswer: 4759.0617140682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -15*j**3 + j**2. Let b be h(1). Let g = 29 - b. Suppose 5*i - g = 27. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 1321431430?\nAnswer: -1321431423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2 + 26. Put p, -5, 0 in descending order.\nAnswer: 0, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2*r - 6 + 2, 0 = s + 4*r - 5. Suppose y + s = -4. Put -3, y, -4 in decreasing order.\nAnswer: -3, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122556 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, -0.1, -5, 6114, -2\/7, 42?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, -4, 1\/132 in increasing order.\nAnswer: -4, -3, -0.4, 1\/132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-6*15\/(-60). Let a = -101 + 605\/6. Put a, -1, -3, k in descending order.\nAnswer: k, a, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t - 81. Let q be p(-13). Let d(o) = o + o - 12*o - 11 - o + q*o. Give d(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.59068 millennia to centuries.\nAnswer: 325.9068","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g - 7. What is the units digit of m(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 5*d = 0, i = 4*d - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -66326.\nAnswer: -66326.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 160909 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 891295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0. Let n be 1\/(-3) - (-5)\/(-15). Let y = 15.4 + -15. Which is the closest to 0? (a) r (b) n (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m - 35. Does 5 divide t(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74054594 divided by 74054594.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 6 = -5*n + 3*h, 5*n + 4*h + 10 = 0. Let o = -35 - -17. Let s = 18.11 + o. Which is the biggest value? (a) -2\/15 (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9853470631 to three decimal places.\nAnswer: 0.985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-4)*952\/98. Let n(p) = 40 + 59 + 0*p - 16*p. Let s be n(6). Is s equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**1)**44)**(-2\/53) assuming m is positive.\nAnswer: m**(-176\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 + 886466 - 886466.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 2764395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2245846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9754 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2338 + 6490177778\nAnswer: 6490175440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 39 - 59 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 125 = 3*d. Let i = d + -22. Calculate the highest common divisor of 45 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzcchacfccczhzcaa. What is prob of picking 1 a, 1 c, and 1 h?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 247*c**2*n**3 + 12*c**2 - 3312*c*n**3 - 3*n**2 wrt c?\nAnswer: 494*n**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138080495 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-2*sqrt(52) - sqrt(52))*-2)\/(-4*(sqrt(4) + sqrt(576)*-1)))**2.\nAnswer: 468\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 + 0.08.\nAnswer: 98.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 6815281.76 to the nearest one thousand.\nAnswer: 6815000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 4*z**2 + 9*z + 4. Let c be r(5). What is the highest common factor of 168 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + 3*k)*(-2 + 4 + 2) + (2 - 2 + 2*k)*(1 - 8 - 15).\nAnswer: -40*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -11 - f**2 - 9 - 5*f - 11 + 28. Give n(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -501245 or -4511206\/9?\nAnswer: -4511206\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1558560 and 131410.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*c - 185489 = -185502, -15*c = 30 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4265457.22 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/8)\/((-61704)\/8570).\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -34*r - 923. Calculate a(-27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + z - 276 = 32, 10 = -5*z. What are the prime factors of (-4 - 0 - -4) + d?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 6, -h = 4*c - 18 + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10, 14, 20, 28?\n\"Answer: l**2 + l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l, -2*m - l - 4*l = 0. Suppose m = -2*q - 0 - 2. Is ((-3)\/6)\/(q\/6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 11*q**3\/3 + 27*q**2\/2 + 15*q. Differentiate y(o) wrt o.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 208.7 + -208.7. Which is the closest to 0.3? (a) 0.3 (b) k (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*g - 4*g - 27, -3*g - 5*n = 34. Let r = -122.8 - -123. Let k = -0.3 + 0.2. Which is the smallest value? (a) k (b) 8 (c) r (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*m**2 + 116*m**2 - 65*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 6*j**2 - 4*j - 2. Let g(k) be the first derivative of -k**3\/3 - 3*k**2 - 3*k + 1. Let i be g(-4). Let p be n(i). Solve -p*z = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1444a11 (base 11) to base 14\nAnswer: -488175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -11. Let r = -330 + 578. Suppose 0 = -4*j - 4*z + 288, -5*j - 2*z + 127 + r = 0. Calculate the greatest common divisor of j and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122 and 2989?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 9:38 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*w + 342*w + 1088*w + 63*w.\nAnswer: 1630*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53705\/6 + 8951. Let f(a) be the first derivative of 7\/18*a**6 + 0*a + 0*a**2 - 3\/5*a**5 + 0*a**3 - 11 + v*a**4. Let f(y) = 0. What is y?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5694770089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2622857 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*a - 14*a + 30*a**4)*(-5 + 2*a + 5 + (-4 + 4 + 1)*(1 - 1 - a) + 3 - 2*a - 3 - a - a + a).\nAnswer: -60*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 + 6*h + 11. Let c be s(5). Let g = 65 - c. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and 1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcvc when four letters picked without replacement from {c: 2, v: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*o + 5*z - 4*z, 4*z - 14 = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 710158.658403 and 1?\nAnswer: 710157.658403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7018\/(-66) - -106)*6\/79.\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 147*x - 1866. Let o be h(14). What is the greatest common divisor of o and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -198\/406781 or -27?\nAnswer: -198\/406781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 0.2 (c) -5 (d) -0.5 (e) -0.041215 (f) -0.32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 23*y - 29. Is 10 a factor of a(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 0*n**2 + n**2)*(0*n - 2*n + 0*n)*(0*n - 8*n + 0*n).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 9:55 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -4\/5 (c) 0 (d) 5032 (e) -1\/315 (f) 4 (g) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 8 = 30. Calculate the smallest common multiple of w and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -14*m**2 - 15*m + 4. Let z(b) = 7*b**2 + 7*b - 2. Let s be (-10 - 2 - 1)\/(7\/49*7). Calculate s*z(a) - 6*f(a).\nAnswer: -7*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1.9 (c) 2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*n + 29 + 39 = 0, 0 = -n + 8. Calculate the remainder when 570 is divided by c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2939 - -2940. Let w = -1698\/7 - -243. Sort x, -10, w, 0.\nAnswer: -10, 0, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2688 + -2688.3. Which is the closest to 2\/5? (a) -0.89 (b) 1 (c) 1\/3 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 1:43 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(7\/((-14)\/2)). Solve -5*s - 25 = j, -4*k - 10 = 2*s - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*i = -3*i - 113*i + 27*i + 7093 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0751 in -4\/5, 0.3, -33.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 5369?\nAnswer: 5369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 greater than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 + 5*l. Let i(j) = -j**2 - j + 1. Calculate h(c) - i(c).\nAnswer: -c**2 + 6*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*s + 702 - 669. Let m be (-1)\/(-1) + 1*2. Suppose h - 12 = -s*h, 5*h = -m*t - 33. Is t != -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 454\/12 + 2\/12. Suppose -126 + h = -4*v. Suppose -6 = -3*q, 2*n - 5*n - 4*q + 272 = 0. What is the highest common factor of v and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102990954*h**2*r**3 - 517*h**2 + h*r**2 - 129*h*r - h - 34*r**2 wrt r.\nAnswer: -617945724*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251679?\nAnswer: 3, 43, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2390 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7266, 7441, 7602, 7743, 7858, 7941?\n\"Answer: -v**3 - v**2 + 185*v + 7083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -340*c - 1. Let j(i) = 12*i - 1. Calculate -a(h) + 3*j(h).\nAnswer: 376*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/12 + (-1454)\/(-8). Let q be (-7)\/(-21) + y\/(-3). Let l be (-1)\/3 - (-25)\/q. What is the third smallest value in -1, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4\/7 + 1410*n**3\/7 + 38952*n**2\/7 + 257310*n\/7 - 42525 = 0. Calculate n.\nAnswer: -441, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a57369 - 4?\nAnswer: -3a57372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97 and 10978169?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-6 - (11 - 14))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*2\/4)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i - 17. Let n(r) = -6*r + 18. Let j be n(5). Let c be p(j). Suppose -4*l = c - 119. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 29*n + 57*n - 24*n = -40, 39*w + 3*n - 42 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-70) + (-466)\/(-14). Let t = h - -106. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37\/5 + 367\/30. Let o = 215\/42 - v. What is the second smallest value in 7, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13380\/119 or -113?\nAnswer: -13380\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222285501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is -10011011101111 (base 2) in base 8?\nAnswer: -23357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m + 17. Let r be s(11). Sort r, -1, -0.3.\nAnswer: r, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**5 + 1153*p**4 - 34*p**3 + 2*p**2 + 21649*p - 3 wrt p?\nAnswer: 60*p**2 + 27672*p - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + 3*i**2 - 2*i**3 + (4*i - 1 + 1)*(-2*i**2 + 0*i**2 + i**2).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.4 + 5. Let t = -0.3972 - -7.3972. What is the biggest value in x, -4, t, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 2*g + 23, -5*g + 8 - 18 = -3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4 + 4*r**2 - 4*r**4 - 14*r**3 - 27 + 4*r**5 + 5*r + 3*r**5 + 25 + 2*r = 0. What is r?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2. Let u(w) = 5 - 13 + 8 - 48*w. What is u(f(n))?\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 + -1.12. Sort 0, d, -0.5.\nAnswer: d, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 564 and 1420904?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 3*n - 3. Let k be x(6). Let m = 75 - k. Let g be (m\/(-14))\/((-4)\/28). What is the highest common factor of g and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -229\/825 + -46\/825. What is the third biggest value in -2, -19, -4, f, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 197*b - 576. What is a(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 5386657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 1 + 162*o.\nAnswer: 162*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89 + -89. Suppose -8*w + 12*w + 1636000 = t. What is w rounded to the nearest ten thousand?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 54, 88, 124?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2. Let n be f(1). Suppose -4 - 23 = n*s. What is the units digit of ((-12)\/s)\/((-12)\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 14*s - 11*s - 1910 = 0, w = -4*s + 1911. Let l = w - 696. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 5*p - 4 = 9, 3*p + 13 = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 20 = -z + 56, 4*l - 5*z - 48 = 0. Solve 11*p = 8*p - l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 13*a**2 - 3\/20*a**5 - 2 + 0*a + 1\/12*a**4 + 31\/3*a**3. What is the first derivative of l(t) wrt t?\nAnswer: -18*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119.53 + 117. Let w = -0.33 - t. What is w rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133745 to the power of 1\/2, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 575052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3*x - 2\/9*x**4 - 8\/9*x**2 + 4\/3*x**3 + 10\/9 = 0. Calculate x.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 7*j**2 - 7*j + 10. Let z be y(-8). Suppose -5 = z*n + 5*c + 14, 0 = -4*n + 3*c + 1. What is the tens digit of ((-282)\/30)\/(n\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6350 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/89 - -338\/267. Let g = -14 - -122\/9. Which is the nearest to -1\/2? (a) g (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m**3*m))\/m*m)\/m)**(-26)\/(m*(m**(-1\/3)*m)\/m)**43)**(-1\/2) assuming m is positive.\nAnswer: m**(-113\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265056 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -39*x**4\/2 + 185*x**2\/2 - 24*x. What is the first derivative of v(z) wrt z?\nAnswer: -468*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3246, 6507, 9768, 13029, 16290?\n\"Answer: 3261*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.393754 + -10.\nAnswer: -6.606246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 - 883 - 1363 = -163*c + 477 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 0.23 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*q + 8*q**3 - 44*q - 41*q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 416\/11 - 7209\/220. Let p = 199491\/4030 - 3\/2015. What is the common denominator of t and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 8:41 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2292 - 1439. Let a = 1205 - r. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 1:09 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5 - 2. Let f be ((-12)\/(-24))\/((-2)\/4). Let q = u - f. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -1\/3, -5, 65, 0 in descending order.\nAnswer: 65, 0, -1\/3, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2454 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*g = 16, -5*g - 16 - 15 = -3*x. Suppose 2*y + 4 = n - 3*n, -y = -3*n + 2. Calculate the remainder when 12 is divided by 6 + (x - (-1 - y)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.066 - -0.004. Let h = -0.03 - k. Is -5\/7 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 h when three letters picked without replacement from xxxxhxxexhxeexx?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 2:39 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111112212 + 1111100?\nAnswer: -110001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + v + 2*v)*(0*v - 5*v + 4*v) + (439 + 24*v - 439)*(2*v - 3*v + 2*v).\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (178 - 1)*(-10579)\/31737.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, u: 1, r: 1, v: 3}. Give prob of sequence ru.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 + -26. What is the remainder when 135 is divided by y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2408*m**4 - 2*m**3 - 341*m**2 - 6*m + 9356182.\nAnswer: 9632*m**3 - 6*m**2 - 682*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1168\/(-704))\/(10*(-78)\/(-520))?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 23*x**2 - 90*x + 495. Determine p(-27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 470071, 940140, 1410207, 1880272, 2350335, 2820396?\n\"Answer: -u**2 + 470072*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -79 and -613?\nAnswer: 48427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136835948?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*m = -19 - 1, -3*m = -21. Let a = 0 - -12. What is the least common multiple of a and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1 + 26811462*v**2 + v**3 - 26811462*v**2. What is z(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-154)*1155\/(-33).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25334 less than 16450561?\nAnswer: 16475895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145240, -145227, -145214, -145201, -145188?\nAnswer: -145175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 75?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93 - -109) + -31 - -28.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.088 + 3.088. Which is the fourth smallest value? (a) -141 (b) x (c) -5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 12*p - 3. Let x(v) = -4*v**2 - 40*v - 10. Let h(b) = 20*i(b) - 6*x(b). Let r(d) = 406*d**2. Calculate h(r(u)).\nAnswer: 659344*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-5))\/((-40)\/(-100)). Let l(d) = 653*d + j - 652*d - 4. Determine l(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.63 + -1.7. Let f = -9 + 8.9. What is the second biggest value in 3\/5, y, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**3 - y**2 + y + 1. Let p(k) = 7*k**3 + 4*k**2 - 19*k + 3. Determine -p(z) + 3*q(z).\nAnswer: 2*z**3 - 7*z**2 + 22*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a**3 - 2*a**2 - 26*a**3 - 14*a**3 + (-2 + 4 + 0)*(2*a**2 + a**3 - 2*a**2) + 4*a**3 - 2*a**3 + 0*a**3.\nAnswer: -28*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 848.9404 days?\nAnswer: 20374.5696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**5\/20 + 5*i**4\/12 + i**3\/6 - i**2\/2 + 19*i. What is h(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24529\/2676 - 1\/2676. Find the common denominator of w and -63\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2283 + 2298. Let i be ((-6)\/4 - -1)*-6. Suppose -i*a + 7 + 20 = 0. What is the remainder when z is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173921330*s + 173921330*s + 13*s**3.\nAnswer: 13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 168*d**2 - 345*d - 174.\nAnswer: 3*(d - 58)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + k - k + (2 + 2 - 1)*(4*k + 2*k + 0*k))*(2*k**4 - 2*k**4 + k**4) + (-502 - 35*k**4 + 502)*(3*k - k - 3*k).\nAnswer: 54*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -60, 2, 5?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.53907kg in nanograms?\nAnswer: 3539070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.8 - -1.8. Let n = 3 - t. Let k = n - 4.1. What is the closest to -1\/3 in -9, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*b - 85971 = -78663 for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -11835062.\nAnswer: 6\/5917531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (-79 + 64 - (-40 - -14))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c**2 + 7*c**2 + 13*c**3)*(4 + 41*c - 3 + 51*c + 71*c).\nAnswer: 2119*c**4 + 13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-1))\/(6\/12). Suppose 82 = 16*d - 14. Are y and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1581420*c**4 - 4744263*c**3 + 4744269*c**2 - 1581429*c + 3.\nAnswer: 3*(c - 1)**3*(527140*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**4 - 7*m**3 - 7*m**2 - 15. Let h(a) = -2*a**4 - 3*a**3 - 4*a**2 - 7. Let o(q) = -7*h(q) + 3*s(q). What is the first derivative of o(c) wrt c?\nAnswer: 20*c**3 + 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 0*y + 9*y + (-y + 0*y - 2*y)*(3 + 3 - 3))*(9 - 2 - 1).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -106 - (-42 + 32) - (-9 + -31).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2114, -2314, -2552, -2828, -3142, -3494, -3884?\n\"Answer: -19*s**2 - 143*s - 1952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 0)*(-6*k + 2*k - k)*(1 + 1 - 1)*(2*k - 4*k + 5*k)*(-19 + 19 - 20).\nAnswer: -1200*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 544 (base 6) to base 8.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4261701227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 69?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2))**2 + 1 - sqrt(2)) + 0.\nAnswer: -sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1483 - 2442 = -157*g for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 - 3*j. Let z be o(2). Suppose -5*u = -z*u + 1. Let w be (-3)\/6 - 3\/18. Which is the closest to u? (a) 0.2 (b) -0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/32))\/m)**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 23. Let o be p(20). Let s = 9 + -14. Put o, s, 0 in decreasing order.\nAnswer: o, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 30 = 2*i. Let q be (-4)\/6*(i + 4). Solve 2*g + q = -3*t, -2*g + 3*t = 7*t + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 2. Let i be 60\/27 + (-2)\/9. Let w be v(i). Solve p - 5*f = -w*p - 10, 34 = -5*p - 3*f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/10 - (-2)\/(-10). Suppose -b = c - 7, 2*b + c - 12 = -0*b. Let v = p + b. Let t(r) = 2*r**3 - 2*r**2 - 2*r. Calculate t(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22432 is divided by 374?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + f = -18, 0*f - 3 = f. Suppose -108 = -l*n - 12. What is the remainder when n is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/21890225 and -97\/8756090.\nAnswer: 43780450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 66279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f**3 - 5817064*f**2 - 4987340*f?\nAnswer: 24*f - 11634128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, l: 1, b: 6, t: 1, a: 1, d: 1}. Give prob of sequence bbt.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -293\/6 + 49. Let u = -8.12 - -0.12. Let c = u - -14. What is the nearest to 1 in q, 2, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 29. Suppose -3*q - 45 = p*k - 4*k, q = 3*k - 151. Suppose -d - m + k = 0, 6*d - 2*d - 3*m - 204 = 0. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -30. Let m(t) be the first derivative of 2*t**2 - t - 26. Give m(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010 - -11001110?\nAnswer: 100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-152)\/(-6) + 4\/(-12). Suppose -3*d + 9 = 0, d = 6*s - 2*s - q. Suppose 0 = 4*w - p - p - 4, -w - p + s = 0. Which is smaller: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 66*m - 41*m - 3 to v*m + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8250 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-205 - -56) + 28 + 156?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 8:50 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 divided by -1?\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6*t**(-1\/2))**(-7)*(t*t**(1\/4))**(-4)\/((t*(t**0*t)\/t*t)\/t)**(-8\/3) assuming t is positive.\nAnswer: t**(-245\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-5))\/(-7))\/((-2)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.2 (b) -5 (c) -2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66713.5? (a) -3 (b) -8 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 - (-5)\/(5\/(-7274)). Round k to the nearest one hundred.\nAnswer: -7300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62690244.\nAnswer: 2, 3, 5224187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 2*r + 85932 = 32*r. What is r rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 15 = -3*g. Let p be g + -1 + 0 + 19. Let i = p + -10. What is the highest common divisor of i and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 602194494?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (4 - (-2 + 3)) + 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330 > 598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.34, 3, -1\/4, 21, -1.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.061 - 1409800270.\nAnswer: -1409800270.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, e: 2, c: 2}. What is prob of sequence cpc?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1769122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 3:40 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y**2 + 12*y**2 - 3*y**2 + 2*y**2 + 6*y**2 + 6*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 - 93. Suppose -3*l + c - 4 = 0. Is 22 a factor of 195\/(-52) - l\/8 - -26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92415, -738895, -2493489, -5910255, -11543251?\nAnswer: -19946535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7\/4 + 2. Let p = 0.04 + -3.04. What is the closest to t in p, 0, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/56 - 10\/(-40). Sort 0.1, -2, t in descending order.\nAnswer: t, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -15845667\nAnswer: 10\/15845667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**4 + 1486622*a**3 - 3*a**2 + 3*a + 12594 wrt a.\nAnswer: -48*a + 8919732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -8*v - v**2 + 20*v + 4 - 6 - 17*v. Let y be (-3)\/6*2*0. Suppose g + 10 = -y*n - 2*n, -3*g - 20 = 4*n. What is l(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8\/15 + 17\/60. Let c = -56.617 - -60.61. Let y = 0.007 + c. What is the nearest to r in y, 1\/4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*j - 22 = 0, -5*j - 3 = 2*x + 23. Calculate the remainder when 15 is divided by x\/(-5)*(-15)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -736102 and -3680516\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 31662176 divided by -581\nAnswer: -54496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -560 divided by 11?\nAnswer: -560\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1955.0001313 + 1955. What is t rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 - 2*b - 1. Let p(j) = 5*j**3 - j**2 - 3*j - 73. Let i(c) = -3*f(c) + p(c). Is i(-9) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 68 + 9 = -2*p, p + 4*c = 34. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11602 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/100 and 29\/960?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -811, -2149, -4119, -6727, -9979, -13881?\nAnswer: -18439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 + 228 + 26*r**2 - 108.\nAnswer: 26*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/9)\/((-2)\/(-12)))\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a week in hours?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -6, -16 = 5*d - 0*d + 2*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-2*(-5)\/(-2). Let o(s) = s + 7. Let c be o(-7). Suppose -5*j - 2*v = -8 + 30, 4*j - 5*v + 11 = c. Sort 2, a, j in ascending order.\nAnswer: a, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**5 - 7*x**5 - 8*x**5 + (-3*x**2 + 0*x**2 + 4*x**2)*(-x**3 - x**3 + 3*x**3).\nAnswer: -12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (15 - (16 - 0))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*h**2*u - 4*a**2*h*u**2 + a**2*u**2 - a*h**2*u**2 + 5*a*h**2 - 20*a*u**2 wrt a.\nAnswer: -2*h**2*u - 8*h*u**2 + 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -795057 or -795076?\nAnswer: -795076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6547 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 670 - 670.2. What is the closest to l in -2, 2, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 36*c. Suppose 45 - 35 = 5*p. Let a(b) = 11*b**2 - 4*b**2 - 2*b**p - 4*b**2. What is a(j(g))?\nAnswer: 1296*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 918570*u**2 - 46758*u\/7 + 36\/7.\nAnswer: 6*(469*u - 3)*(2285*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 12:55 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 86.04?\nAnswer: 516.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 66420296 to the power of 1\/2, to the nearest integer?\nAnswer: 8150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2*r\/(r\/r**(-1\/8)))**(-36) assuming r is positive.\nAnswer: r**(-135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*m + 5*m - 4*m)*(36 + 35 - 26)*(4 + 1 - 4) as b*m + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1620))\/sqrt(9) - (-3*(sqrt(30) - sqrt(60)\/sqrt(2)))\/sqrt(6).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - 2*g)*(2 - 2 + g**2) + 27*g**3 + 13*g**3 + 22*g**3.\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.9 (b) -25 (c) -1 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (sqrt(882) + (sqrt(882) - -2*(sqrt(882) + -1*sqrt(882))))\/(sqrt(63)\/(sqrt(448) + 2*sqrt(448) + sqrt(7)))).\nAnswer: -2100*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1107 - -25240. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 245 = 5*j, -2*l - 4*j = -0*l - 130. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 806596488 divided by 6\nAnswer: 134432748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-494*o + 494*o - 18*o**2)*(o - 26*o + 8*o) in the form r*o**2 + a + i*o + w*o**3 and give w.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*y + 25*y - 8*y)*(4*y - 6*y - 3*y)*(-y**2 + y**2 - y**2).\nAnswer: 155*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*k - 3 = 0, -4*p - 5*k + 7 = 2. Suppose p = 2*o + 4*o - 66. Solve 0 = -5*i + o - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105 - -230. What is the greatest common divisor of 75 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.5116545 - 2.509. Round b to four decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3259\/10 + 601\/2. Let h = -587\/20 - f. Find the common denominator of (35\/(-150))\/((-37)\/1443) and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333226 (base 8) in base 13?\nAnswer: 3c14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**6\/7 - 34*d**5\/35 - 33*d**4\/14 - 46*d**3\/21 + 8*d\/7 + 9. Let x(t) = 0. Calculate t.\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-2)\/12)\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 30*l**2 + 7*l + 5. Determine y(-2).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -3, 5, -7 in descending order.\nAnswer: 5, 0, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/13 + 106*h\/13 = 0. Calculate h.\nAnswer: 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*x + 36, 0 = 3*s - 11 - 4. Suppose 4*k - 255 = 5*j, -j - 2*j = x*k - 231. Suppose -3*u + k = 2*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5627\/5 - 1125. Let y = 54 - 55. What is the smallest value in n, 1\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -206758 * 1.\nAnswer: -206758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**4 + 14899*v**3 + 81*v**2 + 161 wrt v?\nAnswer: -24*v + 89394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -551*v**3 - 6*v**2 - 12*v - 1. Let x(q) = -550*q**3 - 7*q**2 - 14*q - 1. Calculate -7*g(j) + 6*x(j).\nAnswer: 557*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21950996 is divided by 32?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51638.\nAnswer: 2, 25819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1024202411 - 24?\nAnswer: 1024202332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 43*r**2 - 119*r - 38. Suppose -22*z = -29*z + 280. Let l be p(z). Sort 5, l, -2 in descending order.\nAnswer: 5, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 n when three letters picked without replacement from {t: 2, a: 2, n: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**4 + 28*i**2 - 4*i**4 - 22*i**2 wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -590.487 rounded to zero decimal places?\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*o - 11 = 237*o - 6*q, 4*o - 2*q = -8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -70694 or -212078\/3?\nAnswer: -212078\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1041 is divided by 1024?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*a - 23*a + 10. Suppose 0 = -4*r + 4*v, -r + 8 = a*r - v. What is the remainder when r is divided by (3 - 3) + (3 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 383629.879 rounded to the nearest one hundred?\nAnswer: 383600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 8) to base 12\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52? (a) 0 (b) -1\/9 (c) -21 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*h + 3872 = h for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000141 rounded to six decimal places?\nAnswer: -0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36799 (base 12) to base 7.\nAnswer: 424605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18627, -74628, -167991, -298716, -466803, -672252, -915063?\n\"Answer: -18681*h**2 + 42*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 + 83 = -139*f + 21 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 10:31 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11788017 divided by 6.\nAnswer: 3929339\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 924188 and 7012956?\nAnswer: 119220252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/11 - 28*x + 1078.\nAnswer: 2*(x - 77)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (2 + -3)) + 8 + -12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, h: 1, i: 2, x: 8, r: 3, n: 2}. Give prob of picking 1 h, 1 x, and 1 n.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -92, -5, -1.\nAnswer: -92, -5, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -467, -487, -521, -569, -631?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -84900, -339444, -763632, -1357464?\n\"Answer: -84822*w**2 - 78*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 1 + 2\/(-2). What is the third derivative of -h + 2*h + 0*h + 23*h**2 + h**2 - 3*h**u wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 13053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**2 + 1. Let z be y(1). Let b(a) = 2*a**2 - 2*a + 1. Let q(u) = -2*u**2 + 3*u - 2. Determine z*q(n) - 3*b(n).\nAnswer: -2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559908 is divided by 7178.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/4*(-2)\/6. Let y = -3 + 2. Let r = -0.2 + 0.3. Which is the nearest to r? (a) s (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44253 + -44275.883. Round g to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 300.619 decades?\nAnswer: 3.00619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 9*k**5\/20 - k**4\/3 + k**3\/3 - k**2 - 27*k. Is s(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 11*d - 24. What is the least common multiple of n(6) and 60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - x**2 - 2*x. Suppose 0 = 8*u - 704 - 432. What is the remainder when u is divided by w(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((78\/40)\/((-20)\/(-80)))\/((-594)\/5940)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 17*i**2 + 18*i - 23. Let a be o(16). Let d = 139 + -22. What is the greatest common divisor of a and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 3*j - 1. Let r be q(3). Let o be (-3 - r) + 7\/7. Let n be 2\/8 - (-10)\/(-8). Is o greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 81*c**2 - 3225*c - 51. What is k(40)?\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/4 at most 534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.060138 - -1417.010138. Let g = -1386 + b. Let x = g + -31. What is the second biggest value in -0.4, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b57 (base 12) to base 9\nAnswer: -2234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2416*h + 2798. Let v(o) = 8*o. Let f(r) = -g(r) - 12*v(r). Differentiate f(b) with respect to b.\nAnswer: -2512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 4*q + 9, -k = -3*q + 198 - 204 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*d + 1202 - 1284 = -3228 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17633 = -4*m + 7*i, -2279 = -4*m - 5*i + 15414. What are the prime factors of m?\nAnswer: 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 446*g**2. Let m(o) = -o. What is m(n(c))?\nAnswer: -446*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48411786*a**4 + 2*a**2 - 10*a + 8495.\nAnswer: -1161882864*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.05 - 0.75. Let s = 3.2 - c. What is the third biggest value in s, 0, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 2*k - 12. Let g be r(5). Let s(m) = -m**2 + m - 1. What is s(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i**2 - 121*i + 32. Let o be r(17). Put -28, -5, o, 2 in ascending order.\nAnswer: -28, -5, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x + 20*x = -6. Suppose 0 = -5*r - 25, -4*v - x*r = 107 + 51. Which is the smallest value? (a) 2\/15 (b) -2\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -460 - -0.54?\nAnswer: -459.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 194*i - 98*i - 91*i - 1. Suppose -14*m = -15*m - 2. What is h(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-34)\/51)\/((-20)\/9). Let d(y) be the second derivative of 0 - 27\/10*y**2 + 1\/4*y**4 - p*y**3 + 5*y - 3\/100*y**5. Find m such that d(m) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-28)\/(-5))\/((-16)\/(-40))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11171040 divided by -370.\nAnswer: -30192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/4))\/f)**(-2\/25)*(f**(-1\/4)\/f)**(-47) assuming f is positive.\nAnswer: f**(5877\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-10))\/((-6)\/(-56)). Let a(b) = 2120*b + 40282. Let t be a(-19). Suppose 12\/5 - m*v + 2\/5*v**t = 0. What is v?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y - 8. Let f(g) = 0*g - 4*g + 2*g + 7. Let q(z) = -z**2 + 3*z + 4. Let s be q(5). What is s*j(a) - 7*f(a)?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 0. Suppose 4*m - 3*s - o = 0, 25 = -0*m + 2*m + 3*s. What is the third derivative of -5*t**2 - m*t**4 + 0*t**2 - 1 + 1 wrt t?\nAnswer: -120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**5 - 1741*y**3 + 17419*y**2 wrt y?\nAnswer: -120*y**2 - 10446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015904 to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -206 + 271. Let d(j) = -14*j - 18. Let c be d(-5). Let r = h - c. Calculate the highest common factor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -8*k + 21. Suppose r + 24 = -5*v - k, -53 = 2*r + 3*v. Let p = r - -46. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 8*j**3\/15 - j**2\/5 - 5. Suppose p(b) = 0. Calculate b.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15160.6676 and -5?\nAnswer: -75803.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18368*l + 0 + 0 + 2.\nAnswer: -18368*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 4*k**2 - k - 2. Let t be a(-4). Suppose -b + 6*b + t*h - 287 = 0, -b = -h - 56. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (234\/(-52))\/(2\/(-4)). Let t(z) = -3*z**3 - 43*z**2 + 28*z - 25. Let c be t(-15). What is the biggest value in 0, c, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**3 - 10*q**2 + 50*q - 9. Let r be a(-7). Calculate the greatest common factor of r and 795.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. List the prime factors of (z\/4 + 0)*14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -2 + (-8 + 40 - 49)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2622 - -2634. Solve t = -5*x - q, t = 2*x - 8 + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - -53)*3\/6 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 - 42*g + 5. Let d be y(21). Let c(q) = -q**3 + 5*q**2 + 4*q - 7. Calculate c(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1598*d = -1587*d - 121 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1.7, -10721 in decreasing order.\nAnswer: 1.7, 0.4, -10721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, b: 1, z: 2, i: 2, l: 5}. Give prob of picking 1 i and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*t = -9, 3*h - h = -t - 2. Let s(a) = -10 + 22 - 13. Let b(i) = -2*i - 3. What is h*b(f) - 6*s(f)?\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5094\/47 (b) -94 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -184 (b) 1\/32 (c) 39 (d) -3\/8 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1372387 (base 13) to base 15\nAnswer: 815dd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 4*b + 69. Let p be a(0). Suppose 0 = -2*s - 9 + p. Is 23 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 0. Suppose 3*b + l = 24. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 26*d + 40. Suppose h + 4*y - 5147 = 0, -2*h + 0*h = d*y - 10290. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 338*f*p**3*s**2*z**3 + 3*f*p**3*z + 2*f*p**2*s*z**3 + f*p**2*s - 130*f*p**2*z**3 + f*s**2*z**2 - p**3*s wrt s.\nAnswer: 676*f*p**3*z**3 + 2*f*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 224025441*u - 224025438.\nAnswer: -3*(u + 1)*(u + 74675146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2095332 = -76*u + 2089024 for u.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -341166638 to the nearest 10000.\nAnswer: -341170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 187282573 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2 + 8*o + 3145. Give r(34).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8643423 millennia in years?\nAnswer: 864.3423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -851 or -853?\nAnswer: -851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -15*p**2. Let x(b) = 4*b**2 - 2*b**2 - 2*b**2 + b**2. Give x(g(d)).\nAnswer: 225*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3047*-0.4\nAnswer: -1218.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d + 13. Let h be o(-8). Suppose 4*a = -w - a + h, 2*a - 8 = 0. Calculate the remainder when 65 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 285289\/12 + -23774. Let v(t) be the second derivative of -3\/2*t**3 - o*t**4 + 0 + 30*t - 4*t**2. Factor v(y).\nAnswer: -(y + 1)*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -16.5?\nAnswer: -16.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106701 is divided by 156.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 12708934?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 - 106*g + 115. Calculate l(26).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*g - 47*g = 4796. Let a = g + -815. Calculate the remainder when a is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -132248, 42, -6, 0 in ascending order.\nAnswer: -132248, -6, 0, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1 + 1 + j - 1 + 6. Let a be v(-6). What is the units digit of (2\/3)\/(a\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1385\/7 - -2445\/14. Let n = -333 + t. What is the common denominator of n and -39\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-3) + 2)*3. Let p = j - -4. Solve m - p + 6 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 - 2*m - 1. Let l be 2\/10 - 2\/10. Let a = l - 1. Give o(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 16 = b. Let w(c) = c**2 - 11*c + 9. Let j be w(11). Which is smaller: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44872 and 1896.\nAnswer: 134616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32086*k = 32083*k + 2*f - 4, 4*f - 8 = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 969883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 107, 249, 345, 371, 303, 117?\n\"Answer: -4*k**3 + k**2 + 167*k - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -640*z + 10425. Let k(t) = 1291*t - 20853. Let i(l) = 7*j(l) + 4*k(l). What is the derivative of i(c) wrt c?\nAnswer: 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 0*r + 1\/2*r**4 + 0 - 13*r**2 + 19\/6*r**3. What is the units digit of q(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19107, 38092, 57071, 76044?\n\"Answer: -3*y**2 + 18994*y + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**6*(z\/z**(-15)*z)\/z*((z*z\/(z*z\/z**(-13\/6)*z))\/z)**(-4\/43) assuming z is positive.\nAnswer: z**(2888\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - k. Suppose 5*i - 5*x + 25 = 0, i + 0*x = -4*x + 10. Let m(q) = 0 + 3*q**2 + 2*q + 1 + 4. Let f(y) = i*c(y) + m(y). What is f(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/71, 0.4, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 266 = -5211. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -14*y - 43. Let o(l) = -5*l - 14. Let b(p) = 8*o(p) - 3*v(p). Calculate the remainder when 33 is divided by b(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -312744 divided by -3768\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m - 7 = 0. Let v = -3 + m. Suppose 3*u - 41806 = 6*f - v*f, 10 = 5*u. What is f rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 + 144*g - 12960.\nAnswer: -2*(g - 180)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 3)*(709*h**3 + 195483*h**2 - 195483*h**2)*(-h + 3 - 3) to u*h**3 + o*h**4 + s*h**2 + j + x*h and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2\/11 (c) 314\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxm when three letters picked without replacement from {m: 3, x: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50840 > 50840?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5844364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 303 - 310 = -4*z, z = -t + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/15*(5 - 8)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16508, 33033, 49574, 66131, 82704?\n\"Answer: 8*p**2 + 16501*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1464 = 213*v - 152*v for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 158194697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y - 9*y = 39*y + 23*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.7 - 3.7. Let d(x) = 2*x**2 - 5*x + 2. Let y be d(3). Let p = -8 + y. Put l, 3, p in increasing order.\nAnswer: p, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2174.000776 - 2174. Round v to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1426*n + 387*n + 522*n + 517*n + 3*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m + 3*m - 2*m**3)*(-5*m + 3*m + 0*m) - 25*m**4 - 4*m**4 - 24*m**4 as a*m**4 + x + u*m**3 + d*m**2 + r*m and give a.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 + -0.08. Let f = 11\/15 + -1\/15. What is the smallest value in f, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2294087, 4588149, 6882207, 9176261, 11470311, 13764357, 16058399?\nAnswer: 18352437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4*i**3)*(176*i + 183*i - 157*i).\nAnswer: -808*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, 0.2, -5, -3968?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 7 = -7*p. Let g be 2\/(-4) + p + 10\/4. Suppose 2*s = g*i - 6, -4*s + 10 + 2 = -2*i. What is the remainder when 5 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 31, 49, 53, 31, -29?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h + 17 = 2*v, -7 = -5*h + 2*v. Let w = 3 + 5. Suppose 3*d - h*f = 456, 5*f - w = f. Calculate the greatest common factor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 8. Suppose -d*u + 30 + 45 = 0. Suppose -6 = -3*i - 3*x, -4*x + 5 = i + u. Solve -h + i = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-300)\/(-10)*(-6)\/(-15). Solve -r*u = -40*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44240 is divided by 44214.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 8*k**2 - 5*k - 9. Let d be t(7). Suppose 0 = 3*w + 5*m + 10, 10 = w - 3*w - d*m. Are w and -8\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3859189?\nAnswer: 3859189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13219 = 4365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**5\/20 - 7*u**4\/6 - 13*u**3\/6 - 7*u**2\/2 + 104*u + 176. Let a(l) be the first derivative of f(l). Calculate a(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 13*f + 2. Let p be o(-11). Suppose -2*v = 13*v - 75. Let s = p - v. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c79a5 (base 15) to base 5.\nAnswer: 2113231210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + (4 + -4 + (6*(2 + sqrt(1900)) - -4*(sqrt(1900) + 0)))*6))**2.\nAnswer: 3153600*sqrt(19) + 246431844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(50) - sqrt(1800)*1)\/(3*sqrt(40)))**2.\nAnswer: 5*sqrt(5)\/3 + 161\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 560106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 2:53 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*g**2 + 23*g**2 + 17*g**2 to o*g + z*g**2 + h and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 85 = g, 4*g + o = 2*o - 265. Let i = g - -172. What is the remainder when i is divided by 40?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnnruuqf. Give prob of picking 2 n and 1 q.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**5\/20 + 5*w**4\/6 - 25*w**3\/6 + 9*w**2\/2 + 5*w + 2. What is the units digit of m(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21125 times -0.4?\nAnswer: 8450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 4)*(2 - 5 + 1)*(-5 + 4*w + 5).\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 25 = -8*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009416 to four decimal places.\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212306 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -57377*i. Let q(w) = 17*w. Calculate c(q(j)).\nAnswer: -975409*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -148 + 151. Suppose 2*o - s*o = -3*l - 58, -204 = -3*o + 3*l. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-324)\/7*(-14693)\/6297.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (131*s**2 + 7 - 256*s**2 + 7*s + 126*s**2)*(85*s + 25*s - 10*s) to k*s**2 + t*s + v*s**3 + y and give k.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from ervusyv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 + 34 = 11*s. Solve 3*g = -5*l - s, -4*g - 2*l - 22 = 3*l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 3, -5, 74, -4 in increasing order.\nAnswer: -5, -4, 0, 2, 3, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95038100 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/35 + 5\/(-7). Suppose -2*m - 174 = -2*f, -4*f + 257 = -5*m - 183. Let r = 648\/7 + m. What is the biggest value in -4, i, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36.00000294 + -36. Round p to seven dps.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 116477276?\nAnswer: 582386380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20681, -41308, -61935, -82562, -103189, -123816?\n\"Answer: -20627*z - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4698437?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o**16*o)))\/(o\/(o**(-2\/15)*o)) assuming o is positive.\nAnswer: o**(268\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15149160, -30298322, -45447484, -60596646?\nAnswer: -75745808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - -13 - (-28 + 12 + -11)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 - -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*x - 40 = 89*x. Solve x = v + 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112 - -107. What is the nearest to -5 in -4\/3, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**4\/24 + 17*x**3\/6 + 24*x**2 + 4*x. Let p be c(14). Solve -5*g = -0*y - y - 19, p*g - 3*y = 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 6) to base 16.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 146?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/42 + (-4)\/14. Let z = -9 - -4. What is the nearest to o in z, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-168)\/49)\/(-2) + 2\/7. What is the third derivative of 0*k**6 + 15*k**4 + k**u - 15*k**4 - 33*k**6 wrt k?\nAnswer: -3960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9750*j**4 + 1250\/3*j**5 - 2656*j + 800\/3 + 29680\/3*j**2 - 48800\/3*j**3.\nAnswer: 2*(j + 25)*(5*j - 2)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 355 + -355.15. Let p = -72.85 + 66. Let l = q + p. Is 1\/4 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26192471 + -0.3.\nAnswer: -26192471.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1562966, 3126343, 4689720?\nAnswer: 6253097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1472240860 rounded to the nearest 100000?\nAnswer: -1472200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuu. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7 + 26*o**2 - o**3 - 4*o + 1 - 30*o**2. What are the prime factors of d(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25956493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**4 + 4*q**4 - q**5 + (2776*q - 2776*q - 84*q**2)*(5*q**3 - 104*q**2 + 104*q**2).\nAnswer: -421*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2 - r**3 + 5*r**2 + 2 + 4*r - 8*r**2. Let s be q(-4). Let k be (5\/(-2))\/(s\/(-16)). Solve -2*i + i - k = -2*g, -10 = -2*g - 4*i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 97240\/1040 - 3\/2. Put 1, k, -2, 0 in decreasing order.\nAnswer: k, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6395238 to the power of 1\/3, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/12 + 3\/(-2). Suppose 3*h - 101 - 34 = a. Let g = -34 + h. Calculate the smallest common multiple of 6 and g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2102890 is divided by 422?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11001121201 - -202?\nAnswer: 11001122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/7*d - 3\/7*d**2 - 5\/7 + 1\/7*d**3.\nAnswer: (d - 5)*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82139 divided by -6?\nAnswer: 82139\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -233, -339, -429, -497, -537, -543?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-10))\/((-2)\/(-10)). Let k(n) = 2*n**2 - 8*n. Let v be k(l). Calculate the highest common divisor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 2*t + 12. Let q be (-216)\/(-192)*40\/(-5). What is x(q)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2207374701.\nAnswer: 3, 7, 29, 509, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -6. Let u be (-4)\/(-14) + (-4724)\/(-28) + d. Suppose 3*s - u = -5*i, 128 = 5*i - i + 4*s. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**3 + 6*g**2 + 12*g + 21. What is h(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 39. Suppose 6 = -3*u + v. Suppose 0 = -u*r + 6*r + 9. What is the smallest common multiple of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38989 or -38992?\nAnswer: -38989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3 - 1 = 0. Suppose p*f - 14 = -12. Let j(y) = 24*y**3 + y**2 - y. Is 12 a factor of j(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q + 90. Give j(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000149121293 rounded to seven dps?\nAnswer: 0.0001491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 69384?\nAnswer: 69389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -673, -676, -689, -718, -769, -848, -961?\n\"Answer: -m**3 + m**2 + m - 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 4*d + 1805 = 1789, -4*n + 23 = -7*d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 324007445?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 - (-7 + (-25)\/(-5))\/(((-66)\/24)\/(-11))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 4*d**2 + d - 4. Let k be 1\/3 - 16\/(-6). Let o be z(k). Let u = o - -2. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 275901131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3442119 months in decades?\nAnswer: 0.0028684325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*f + 6. Let s be ((-36)\/27)\/(3\/(-162)). What is the greatest common divisor of f and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -795*s**3 + 230*s**3 + 0*s + 0*s.\nAnswer: -565*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 213+1\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529777915.\nAnswer: 5, 105955583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28071 = -4*i - 4*y + 212795, 0 = 5*i - 18*y - 230790. Is 111 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 66*h + 141 = 0. Sort -105, 0, -5, h.\nAnswer: -105, -5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4600 and 231840?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 25*i**2 - 125*i + 625.\nAnswer: 5*(i - 5)**2*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*u + 3275, -65*y = -4*u - 70*y + 2613. Sort -1, 2, u in descending order.\nAnswer: u, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 2*q + 8. Let p(i) = 1. Let a(m) = 6*p(m) - z(m). Give a(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*((0 - 0) + -1). Suppose 6*c = 30 - 6. Solve 3*q + f = -y, 0*q - 27 = 5*q - c*f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**5\/150 - 63*j**4\/10 - 379*j**3\/15 + 3*j**2 + 59. Factor v(w).\nAnswer: 2*(w - 379)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -1\/12*s**5 - 3*s**2 + 0 + 0*s**3 - 1\/12*s**4 + 0*s. What is the second derivative of r(m) wrt m?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6))\/(((-80)\/12)\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 2*t - 5*t)*(1 + 0 + 17) + 421*t - 223*t + 195*t to u + l*t and give l.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*v + 7. Suppose -2*o + 4*i = o - 25, 2*i = v*o - 40. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (568 + 1557 - 319)*(-1 + 2*k**2 + 1)*(0 + 0 - 1) + (5*k - 3*k - 3*k)*(1 + 2*k - 1) + (0*k + 4*k - 5*k)*(0*k - 3*k + k).\nAnswer: -3612*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -6982*(-3 + (-25)\/(-10)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/48*40\/(-75)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23871 and 2.\nAnswer: 23873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 121 + -143 + -1 + -6 + (4 - 7) - -4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**4 - 4*n**4 + 6*n**4)*(0 - 4 + 2) - 1 + 1 + n**4 - 10*n**4 - 26*n**4 + 3*n**4.\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10000100100010100101101?\nAnswer: 10000100100010100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.68, 62, -0.4, 4, -2 in increasing order.\nAnswer: -8.68, -2, -0.4, 4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -148*q - 127*q + 8148641 - 8148640 to the form t + y*q and give y.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (1 + 7 - (8 - 1)). Which is the closest to 0.2? (a) u (b) 1 (c) 3\/7 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/19 (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -87 + -2 - (9560 + -9708)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 157. Let u = v - 89. Let x = -39 + u. Which is bigger: x or 0.04?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*j - 4*j + 10, 0 = -j + 4*w - 2. Solve -j*i - 10 = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21942912 is divided by 2438101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 i when three letters picked without replacement from giggggggig?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c + 25234 = 24623 for c.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 14. Let d = z + 3. Let n(a) be the second derivative of -a**3\/3 + a**2 - a. Let g(y) = -y + 1. What is d*g(x) + 2*n(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by 8082?\nAnswer: 55\/8082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 31*v**6\/30 + 27*v**2\/2 - 14*v. Differentiate k(s) wrt s.\nAnswer: 124*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 95 = 12*o. Suppose -15 = -u - o*g, -u + 4*g + 32 + 19 = 0. Let q = -189 + 326. Calculate the remainder when q is divided by u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(1*(sqrt(162) + -1 + sqrt(162) + sqrt(162)) + 2)**2.\nAnswer: 270*sqrt(2) + 7298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0. Let o = 195\/28 - 40\/7. Which is the closest to d? (a) -3 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.199 times 51.5\nAnswer: 10.2485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-50) + 304\/10. Let i be s\/25*10\/(-4). What are the prime factors of 16 + 4 + (-3)\/i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lppyylyppyyyyplpypy. What is prob of picking 1 y, 1 p, and 1 l?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*k + 5*l - 4105, -4*l - 2463 = -3*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 235\/(-282)*(-4)\/23*9\/(-540)*-9?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 421.914 from 204418128.\nAnswer: 204417706.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-30))\/((-36)\/(-210)*(-19)\/(-228))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.004 times 0.3\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 371415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 + 9*z**2 + 5*z + 9. Let y(c) = -1 - 3*c**3 - 8*c**2 - 7*c + c**2 - 6*c**2 - 12. Suppose -m - 2 = 3. What is m*y(x) - 7*k(x)?\nAnswer: x**3 + 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*m - 0*m + 234. Solve -4*h = -4*v, m*h - 5*h + 10 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4532 by 2.\nAnswer: 2266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p + 5*p = 0. Suppose p*r + 11683 = 7*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 13. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -6. Suppose -4 = q*x + 2. Suppose 66 = -16*y + 18. Sort 3, x, y in decreasing order.\nAnswer: 3, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58326106?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44647022 a multiple of 2083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2488485 millilitres to litres.\nAnswer: 0.0002488485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7141498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 153.33 + -9.03. Let t = b + -144. What is the nearest to 0 in -6, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-2*o - 4 + 4) + (-o + 0 - 17 + 3*o)*(4 - 2 - 1).\nAnswer: 6*o - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 - 5*h - 1. Let i be z(-4). Let a = -9 - i. Suppose -a*g + 1 = -23. What is the remainder when 17 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 798450 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*a**2*i*r**3 + a**2*i*r**2 - 4*a*i*p*r**2 - 19*i*p*r**3 - 3*i*p + p wrt r?\nAnswer: -204*a**2*i - 114*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/22*1*-2. Let q(j) = 5*j - j**2 - j - r*j - 4. Let t(v) = 2*v**2 - 2*v + 5. Let h(i) = i - 10. Let w be h(7). What is w*t(y) - 4*q(y)?\nAnswer: -2*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 380620480 divided by 4477888\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63*t + 308*t - 167*t + 2 - 2 + 3*t + (-2 + 0 + 4)*(-1 + 1 + t).\nAnswer: 83*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l - l - 7*l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.037 + -0.0858. What is n rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6 + 5 + 0 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 6:53 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4000009 is divided by 341?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 117*(-2*(-5)\/(-6) - -1). Is 27 a factor of 100\/(-15)*f\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2. Let o(f) = -17642*f. Give o(i(w)).\nAnswer: 17642*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.168 - -6.168. Let t = 3.3 - 3. Sort 2, t, x in ascending order.\nAnswer: t, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 6:21 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -549 + 917. Let f = g + -347. Solve -11 = -2*u + t, 11 + f = 4*u - 4*t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*o + 6. Suppose 0*p - 1 = -3*p - 5*q, q - 5 = -o*p. Suppose p*x = 2*l - 6, -8 - 5 = -l - 4*x. Solve 1 - 4 = 3*b - 5*s, 0 = 5*b + l*s + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5675890 to the nearest 10000.\nAnswer: 5680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yiif when four letters picked without replacement from ihohyyhify.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*z + 0 + 0)*(-3 + 2 + 3) + 6*z - 3*z - 4*z + 2*z - 3*z + 0*z)*(1717*z - 4*z**2 - 1717*z - 13) to u*z**3 + n*z + v*z**2 + i and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 1, 8.5, -0.2, -0.3, -31\/9?\nAnswer: -31\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(8\/(-6)))\/(1\/12). Suppose k - 18 = -y. Suppose k = 3*h - 5*f - 1613, -2*h + 2*f = 3*f - 1084. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -19644*u**2 + 13*u + 5. Let k be i(-13). What is k rounded to the nearest one hundred thousand?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 231337, 231294, 231253, 231214?\n\"Answer: t**2 - 46*t + 231382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-27) + (-112)\/(-18). Suppose 41*p + 9*p = 12*p + 228. Solve -p*x + 4*x - v = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197023 is divided by 49190.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3 + (sqrt(17) - (sqrt(612) - sqrt(17))) + -5 - sqrt(153)\/(sqrt(225) + -2*sqrt(225)))*3)**2.\nAnswer: 456*sqrt(17) + 65233\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17)*-2 + -4)**2 - sqrt(17))*2.\nAnswer: 30*sqrt(17) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4957?\nAnswer: 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21200 - 12?\nAnswer: -21212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35629 and 74866.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 861, 3521, 7905, 14013, 21845?\nAnswer: 31401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*d + 69 = 0, 0 = -4*l + 8*l + 2*d - 54. Let r = 1 + l. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*i + 2*i = 29, 3*i = 9. What is the second derivative of 22*b + 8*b**2 + 14*b**3 - x*b**2 wrt b?\nAnswer: 84*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*d + 21 + 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1328*t**5 + 32836*t**3 + 2*t**2 + 46217*t - 48.\nAnswer: -79680*t**2 + 197016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 t, and 1 d when four letters picked without replacement from rrrnrpdfrtdrtprddrf.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 - 3.08. Let t = -2990 + 2998. Which is the fourth biggest value? (a) g (b) t (c) 3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/12 - (-28119)\/6. Suppose -4*k = -5*g - m, -2*k = 3*k + 2*g - 5874. What are the prime factors of k?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10793970.\nAnswer: 2, 3, 5, 11, 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58251*m**3 + 349546*m**2 - 524499*m + 360 = 0.\nAnswer: 40\/58251, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -17*j**2 + 259*j - 18. Let w be o(15). Calculate the greatest common divisor of 1806 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -508489\/42 + 12109. Calculate the common denominator of -1\/14 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1122 - -1269. Suppose 4 = -3*h + 130. Calculate the greatest common factor of o and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**3\/5 + 541*z**2\/5 - 9431*z\/5 + 8891\/5 = 0?\nAnswer: 1, 17, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49.5936 - -8.16698.\nAnswer: -41.42662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 937942 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(2*(sqrt(684)*-2)**2 + -2*(-1 + sqrt(684)) + -3).\nAnswer: -5476 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**2\/2 + 6*s - 3573. Let o(r) = -r - 1. Let u(n) = -5*n - 6. Let m(t) = 6*o(t) - u(t). Determine b(m(w)).\nAnswer: -w + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9596 plus 853?\nAnswer: 853.9596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -165422785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(3\/(6\/(-4))). Let y(i) = -i + 1. Let c be y(-3). Which is bigger: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -58 - -6?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -25*s**2 + 133443*s - 133445. Give h(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -468388, -468591, -468794, -468997, -469200, -469403?\nAnswer: -469606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovvvo. What is prob of sequence ov?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 1 (b) -73 (c) 2 (d) -1\/2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 6*d + 2. Suppose -6*h + h + 27 = 2*w, 5*h + 4*w = 29. Let t be u(h). Suppose 9*v - 8 = t*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 151 - 7?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z - 4. Let r be u(-5). Let t(g) = -g**2 - 9*g - 11. Let m be t(-8). Which is the second biggest value? (a) r (b) m (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 1657*i - 11548. What is s(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -22*s - 1. Let m be o(-26). Let k = m + -346. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 19. Solve -14 = -2*d + s*b, -7*b + 3*b = 2*d + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191335 is divided by 1119?\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8818417 is divided by 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 900 and 26900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -6. Suppose -c*h - 5 = 0, 8*h - 3*h + 30 = z. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3404 - 3399. Which is the biggest value? (a) u (b) -108 (c) 0.5 (d) -0.2 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3050 - 4*v - 3050.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkikikkikk. Give prob of picking 1 i and 3 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 316, 1057, 2498, 4873, 8416, 13361?\nAnswer: 19942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 143961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.065932 + 0.065932. Suppose 0 = 4*m - 3*t - 23, 5*t = 5*m + 2*t - 28. What is the second smallest value in 4, m, f, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 211\/5 + -777\/10. Suppose -2 = -2*z, -4*z = 2*w - 0*w + 86. Find the common denominator of i and (-30)\/w + (-622)\/96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 3230?\nAnswer: -3300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000539583 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*w**2 + 247*w**2 - 388*w**2.\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (41\/(-328))\/(2\/(-4))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561*f - 1583 + 5920 = -6322 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -167 or -172?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531096217 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13217, 26420, 39619, 52814, 66005, 79192?\nAnswer: 92375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 119 = 281. Calculate the remainder when s is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j**2 - 4 + 798*j - 30*j**2 - 806*j.\nAnswer: -8*j**2 - 8*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 344 + -3?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18842, 4, -14, -13.\nAnswer: -18842, -14, -13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -p + 5*t + 66, 530 = 5*p - 5*t. Suppose 4*k = 5*f + 344, -k + 2*f - 6*f = -p. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53 + 949*j - 29 - 24 + 3971*j to the form y*j + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-4)\/36)\/((-1852048)\/16104 + 115)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012571 to 6 dps.\nAnswer: 0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 7*y + 15. Let f be r(5). Suppose 2*o - 34 = 4*n, 0*n + 5*n = f*o - 60. Let i(b) = 6*b - 18. Is i(o) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(-12)\/(-16)*-10. Let x(i) = -2*i**2 - 5*i + 1. Let u be x(-5). Let c = u + n. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4159185.\nAnswer: 3, 5, 277279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/6 - 116*b\/3 + 1845\/2.\nAnswer: (b - 205)*(b - 27)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1889257284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**5\/60 + w**4\/6 + 7*w**3\/3 + 2*w**2 + 517. Calculate k(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 250 and 100875.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.261 + 1847.039. Let x = d - 1896.232. Let b = 35 + x. What is b rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = r - 15, o + 20 = -4*o. Suppose 5*a + 327 = r*j, -4*j - a = -408 - 51. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 512 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, s: 4, q: 2, f: 3, t: 3, k: 1}. What is prob of picking 1 p and 1 t?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**6\/21 - 94*j**5\/35 + 211*j**4\/14 - 2*j**3 - 900*j**2\/7 + 216*j - 3450. Let a(k) = 0. Calculate k.\nAnswer: -2, 1, 3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 2316.\nAnswer: 11580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**1*g)\/g)**(-2\/127)*(g*g**(1\/4))**(8\/5)*((g*g**(1\/4))**23)**(-29) assuming g is positive.\nAnswer: g**(-3327\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppppp. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1485 = 18*m - 1215. Let d = 150 - m. Solve 0 = 4*x + 4 - d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - i + 1. Let l be q(-2). Let d = 0.47 + -0.05. Let j = d + -0.02. Which is the nearest to l? (a) j (b) -1\/6 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-15 - (18 - 28) - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 11*d - 1937 - 1922 + 3858. Suppose 2 = h - 0*h. What is y(h)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 370 - 4?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.14 + 0.34. Let u be 1\/10 - 6\/(-15). Which is the closest to 1? (a) f (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 3 - 3)\/(-2). Let i(o) = 9 + o**k + 8 - 4*o - 12. Let c be i(2). Solve d = 5*j + 4, c - 17 = -4*d - 2*j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 8*g**2 + 13*g + 8. Let q be 9\/(9\/(-6)*(-54)\/(-81)). Give w(q).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a + 4. Let t(n) = 7*n - 128. Let j be t(19). Let b(f) = 2*f - 14. Let y(p) = -p + 5. Let d(x) = -3*b(x) - 8*y(x). Give j*d(w) - 2*q(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*u + 119*u = 60 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**4\/24 - z**3\/3 - z**2. Let i(t) = -t - 1. Let q(x) = -4*i(x) + 2*y(x). Let d(l) = 2*l**2. Give d(q(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + n**2 - 1. Let j(r) = -r**3 + 7*r**2 - 5*r + 4. Let f(b) = j(b) - 2*m(b). Let a = -13 - -7. Let i be f(a). Solve i = -k + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j + 48 = 554. Let p be (-8)\/(-20) + (-274)\/10. Let z = j - p. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 2912.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16c (base 16) to base 15\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 160920510 to the power of 1\/2, to the nearest integer?\nAnswer: 12685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 12*u**2 - 29*u + 6. Let x be z(14). Let g be (6\/x)\/(-4 - (-47)\/12). Let m(t) = -t**3 + 9*t**2 - t - 3. Give m(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, 1, 0, -62 in decreasing order.\nAnswer: 1, 0, -3, -8, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 8*a = 8. Let f = 674\/9 - 75. Put -5, f, a in decreasing order.\nAnswer: f, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-6 + 2)) + (7 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 506 = 77. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 26*n**2 + 2*n - 11. Let q(u) = -52*u**2 - 5*u + 25. Give 5*k(i) + 2*q(i).\nAnswer: 26*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 - 25*t**2 - 561*t + 219. What is the hundreds digit of o(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 x when four letters picked without replacement from {x: 3, c: 7}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 4*o**2 + 9*o + 4. Let y(n) = -n**3 - 5*n**2 + 10*n + 5. Let u(c) = 5*f(c) - 4*y(c). Find the second derivative of u(l) wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = -8*d + 2*i - 9, 0 = -5*d - 5*i - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 510027000778169\/40864 + -12481083612. Let t = 2\/1277 + y. Calculate the common denominator of -23\/8 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 3*g + 6, 0*k = k - 3*g - 2. Suppose -k*u + 3*u = 0. Solve 4*b + 0*l + l + 12 = u, -6 = 2*b + l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 4:34 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 10*o - 161. Let x(r) = 13*r - 158. What is -4*c(y) + 3*x(y)?\nAnswer: -y + 170","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1393230 to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 66600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 938 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 - 0.1?\nAnswer: 202.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/11)*q)**(-38))**(-1\/6)\/((q**1)**(-1\/40))**(-3\/23) assuming q is positive.\nAnswer: q**(349501\/30360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-8) - 135\/(-36). Solve 3*u - a = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/309)\/(-2 + -3). Let s = r - -2125\/206. Find the common denominator of 91*1\/20*-2 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -271006.79.\nAnswer: -27100.679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14010 is divided by 350.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23302 + -23265. What is the smallest common multiple of r and 6\/10 - (-2)\/5?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 125a203?\nAnswer: -125a207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 80*u + 8580. Calculate n(61).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 j when four letters picked without replacement from jjtojjjovvovvjjjjjjj?\nAnswer: 132\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 95 = 2*l + 140, 2*l - 2*n - 4 = 0. Let x be 1 + (-6)\/21 + -1. What is the nearest to 2 in -0.4, x, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 10 = -8. Let k(d) = -d + 15. Let w(o) = -2*o + 31. Let m(x) = 13*k(x) - 6*w(x). Let g be m(6). Solve -3*c = -g*u - 6, -f*c + 10 = -4*u + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358843.9ml in litres?\nAnswer: 358.8439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 0 (b) 81 (c) -140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -48*m**5 + 1752*m**4 - 16803*m**3 + 33420*m**2 - 13668*m + 1584 = 0. What is m?\nAnswer: 1\/4, 2, 12, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from zbzzzzzbbzbwbzbwzzz?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/(-38))\/(2\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6) - 180\/(-24)) + 324\/(-48)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*o + 30 = 2*o, -q + 3*o = -4. Let x = 25 + q. Let r = 53 - x. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 7*z**2 + 5*z + 9. Let t be b(-6). Let a be (-2)\/(-5) + 9\/t. Let n be (-1 - -6)*(2 - a). Solve 3*v = -v + 12, 5*l = n*v + 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/2 + 3477*k\/2 - 112815.\nAnswer: -3*(k - 1090)*(k - 69)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2412 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/2040 and -97\/3264.\nAnswer: 16320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4\/(w*w**4)*(w**2)**(1\/7) assuming w is positive.\nAnswer: w**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/48415 and -19\/460.\nAnswer: 193660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1567 + 68*a**2 - 3139 + 1572.\nAnswer: 68*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.92 * 0.015616\nAnswer: 0.02998272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**6\/2 + 123*o**5\/5 - 1065*o**4\/4 - 1321*o**3 - 2112*o**2 - 1452*o + 4108. Factor w(d).\nAnswer: -3*(d - 22)**2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -923*n - 240367 = -116685 for n.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*z**3 - 100*z**2 - 114*z wrt z.\nAnswer: 18*z - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -14*i. Let r(g) = -824 - g + 824. What is z(r(k))?\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 553*p**3 - p**2 - 6*p + 4. Is 10 a factor of z(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8 = -w, 0 = -0*t - 5*t - w + 10. Suppose -t*c + 2*l + 0*l = -10, 5*l = -15. Solve 2*o + 5*r - 3 = -5, -2 = c*o + 2*r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103121110 - 1100?\nAnswer: 103120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1393407807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*k = 32, -5*k + 0*k + 28 = j. What is the least common multiple of j and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, 42, -19, -1\/4, -2\/5?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g + 2. Determine n(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 18*v**3 + v**2 - v. Let f be i(1). What is the units digit of (f\/3)\/((-2)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 850*u**3 - 211*u**3 + 4 - 215*u**3 - 220*u**3 - 213*u**3.\nAnswer: -9*u**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3 + 8 + 176\/(-24). Suppose -4 = q + 2*n - 2, l = -q - 4*n - 8. Calculate the least common multiple of 11 and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -568*y + 567*y = -3. What is the closest to 51 in 0.2, -5, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/69916680 and 35\/4884.\nAnswer: 769083480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -19448, 12, 2 in ascending order.\nAnswer: -19448, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/20*-2*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5853*o - 2094*o - 287388 - 35886 for o.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1009 divide 925635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.26. Let c = p + -0.54. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 11:23 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -12842*b + 1984 - 3967 + 1983 as t + l*b and give l.\nAnswer: -12842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -514.077 - -0.077. Let h = 514.04 + s. Put -2\/13, 0.2, 5, h in decreasing order.\nAnswer: 5, 0.2, h, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16, -10, -38, -68?\n\"Answer: -q**2 - 23*q + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -30429 and -2573.8.\nAnswer: -33002.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.873653378 rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -361840 divided by 4.\nAnswer: -90460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 533, 814, 1111, 1424?\n\"Answer: 8*k**2 + 257*k + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -47473, -94964, -142455?\n\"Answer: -47491*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57068?\nAnswer: 2, 11, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 o, 1 q, and 1 b when four letters picked without replacement from bxqbplqqbobbbpl?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17922563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37637086?\nAnswer: 2, 131, 143653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 12*l + 10. Let z be c(11). Let f = -1 - z. Suppose p - b - 2 - 1 = f, 3*b = -4*p + 47. What is the remainder when p is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44\/440*-30*((-220)\/(-4))\/5\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 8*m - 139 = 0. Let t = 205 + m. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 - 6*g + 1. Let t(c) = 3*c**2 - 7*c + 1. Calculate -3*t(k) + 4*y(k).\nAnswer: 3*k**2 - 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 16*c - 5*n = 381, 4*c + 5*n = 371. Find the first derivative of -681*q**3 - c + 674*q**3 - 1 wrt q.\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 3, a: 5}. Give prob of picking 2 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160455 and 1178.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/215 and 33\/178006541?\nAnswer: 890032705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 168 + ((-5 - -4) + 1)\/1. Calculate the greatest common factor of 378 and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 332067004 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -532, -488, -354, -82, 376, 1068, 2042?\nAnswer: 3346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -597 in -28, 3, -1\/2, 0.02?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.7 + -4. Which is the nearest to -1\/4? (a) q (b) 0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - -22) + -1 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -156777872*q + 128968736.\nAnswer: -156777872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/39 (b) -267 (c) -20097\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -194ab0 + -d?\nAnswer: -194abd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -116, -89, -36, 55, 196?\n\"Answer: 2*b**3 + b**2 + 10*b - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3269 - -0.5?\nAnswer: 0.8269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**4\/2 - 63*c**3\/2 + 219*c**2\/2 - 261*c\/2 + 51 = 0.\nAnswer: 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108742249\/442 + -246023. Calculate the common denominator of 11\/51 and v.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-9 + (29 - 12)) - 11 - -52\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2\/6 - 275*v + 43215\/2.\nAnswer: 5*(v - 201)*(v - 129)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n**2 - 2163*n + 8756. What is s(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 16, f: 4}. Give prob of sequence uuuf.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4508705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -11 (b) -2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*w = 4*a + 51*w - 3, -4*a + w = 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - ((2*sqrt(91) + sqrt(91))*-3 + sqrt(91)) - sqrt(91))\/(sqrt(28)\/sqrt(4)*6) + -1.\nAnswer: -1 + 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 18 = 2*t, -2 = -5*a - 2*t - 22. Let d = 0 - a. Let s = 6 + d. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.292 + -0.208. What is the nearest to -0.1 in 7, 0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -29, -74, -143, -236?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 - -136. Let n = v - -632. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 665? (a) -1 (b) -18551 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -82*t + 12?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 4:02 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175997973 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3122.608 - 3148. Round p to 1 dp.\nAnswer: -25.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**7\/14 - 7*n**6\/10 + 43*n**4\/12 - n**3\/6 + 95*n. What is the third derivative of u(o) wrt o?\nAnswer: 180*o**2 - 504*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2400 + -2120. What is the least common multiple of k and 20?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 660, -3149, -13488, -33621, -66812?\n\"Answer: -544*g**3 - g**2 + 2*g + 1203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100.48 or -2\/3?\nAnswer: -100.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 17*f - 3. Let p be t(6). Let b be 6\/8 - p\/(-44). Let u(h) = 4*h + b*h**2 - 3 - 2*h**2 + 0. Calculate u(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbfubbu. Give prob of picking 1 f and 1 b.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 2*r + 5. Let q be ((-125)\/(-15) + -9)*21\/(-2). Give p(q).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 11*a + 65. Suppose 38016*p = 38031*p + 90. Determine b(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/14 - 39616\/(-224) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3 + -1)*(66 + -67)*(218 - 20)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-162696\nAnswer: -48808.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-30)\/4)\/(2\/4). What is the remainder when 69 is divided by (1 + -7)\/(5\/b)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omyomyyyeyymymokymm. Give prob of sequence oym.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -456, -910, -1364, -1818?\nAnswer: -2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, -3, 0.2, 1\/2 in ascending order.\nAnswer: -3, -2\/21, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 3*b**2 - 2*b + 3. Suppose 10 = 2*g - 4*f, 0 = -5*f - 5. Suppose g*z - 12 = 6*z. Let u be (6\/4)\/((-2)\/z). Calculate o(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*j**3 - 38*j**3 - 23*j**3 + 236*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 k when three letters picked without replacement from wokkpwmo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -5 (b) 2\/39 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 196264*y + 2158900. Determine r(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 7*i**2 - 60*i - 17 - 546*i - 5*i as c + l*i**2 + s*i and give s.\nAnswer: -611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1738 - 4*t**3 - 1738.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -515 and -127390318?\nAnswer: 127389803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**2*t**3*z**3 + 2*n**2*t**2*z**2 + 2*t**3*z**3 - t*z**3 - 8 wrt t.\nAnswer: -12*n**2*z**3 + 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 16 (b) -0.082 (c) 177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2870, 2869, 2856, 2825, 2770, 2685, 2564?\nAnswer: 2401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6357 (base 8) to base 6\nAnswer: 23155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*p = -7*a, -4*a = 4*p - 40. Let i be (-1 + 0)\/(4\/(-3)). What is the second smallest value in i, a, 1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7826146 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.41 + 0.4099978. Round d to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 907 = -6*m + m, -452 = v + 4*m. Suppose 6475 = 12*c - 7397. Let l = v + c. What is l rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12643689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-6 - (-4 + 9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 e, and 1 g when three letters picked without replacement from rrxggrrre?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -4 - -4) + (-4 - 7) - -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imieissievsmmesmeis. Give prob of sequence vi.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 divided by -105?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -22*v**2 + 17198*v + 4703. What is g(782)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1030907 + -1030907.513509. Let l = 80.474291 - t. Let h = l + -81. What is h rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/14 and -97\/8982?\nAnswer: 62874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1084815 and -48\/11.\nAnswer: 11932965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*l - 143*l + 38*l**3 + 2*l**2 + 294*l as b*l + f*l**3 + r + s*l**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10063, 20617, 32155, 45169, 60151, 77593, 97987?\n\"Answer: 82*a**3 + 9980*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 347604 divided by 57934\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 25*o**2 - 18. Let p(w) = -12*w**2 + 8. Let f(x) = 9*p(x) + 4*z(x). Suppose -75 = -8*m + 3*m. Let a(y) = m*y - 15*y + 2*y**2. What is a(f(c))?\nAnswer: 128*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 68*q - 10428 = 0. Suppose -80 = -5*b - w, -45 = -2*b + 3*w + 4. What is the remainder when q is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 1:56 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-1)\/(-4) + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*q + 882*q + 505*q.\nAnswer: 993*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8875171 a multiple of 596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/10 + 30\/50. Which is the nearest to 1? (a) -2 (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 + -113. Let t = c + 39.0058. Round t to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from kklpvhsl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1534, 21, 0, -2.\nAnswer: -2, 0, 2, 21, 1534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 96, 311, 726, 1407, 2420, 3831?\nAnswer: 5706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 10. Suppose 3*g + 14 = s, -s + 6*s + 4*g = 13. Suppose s + 0 = k. Put x, k, -3 in decreasing order.\nAnswer: k, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**5\/20 - 2*z**3\/3 - 3*z. Suppose -1 = -3*l + 8. What is the tens digit of i(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 862, 857, 852, 847, 842, 837?\nAnswer: 832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.3 and 9111827910496.\nAnswer: 9111827910494.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -28 (b) 0.5 (c) -1 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 2)*(-5*p**4 + 6*p**4 - 2*p**4) - 6*p**4 + 4*p**4 + 0*p**4 + 829*p + 40*p**4 - 829*p to g + c*p**3 + a*p**2 + d*p + j*p**4 and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 + 146. Suppose 0 = g - q + u, 0 = -2*g - 2*q - 70 - 120. Let v = g - -100. Which is bigger: v or 22\/5?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 4*n - 3*m - 5, -5*n - 4*m = -40. Suppose n*w + 112 + 56 = 0. Let o = w + 45. Solve 5*d + 5 = 0, -o*g + 2*d + 16 = -2*d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k - 2 + 2)*(3 - 5 - 3)*(18 + 21 - 9) to the form i + b*k and give b.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -12*q**2 + 35*q + 4. Let m be g(3). Let z be 2 + -1 - (-18)\/(-14). What is the closest to z in m, 0.05, -4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1055 (base 7) to base 10\nAnswer: -383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 7*o - 14. Solve -3*x = -5*x - o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142336 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132708*s**2 - 132708*s**2 - 1191*s**4)*(-3*s + 2*s + 0*s) - 2*s**4 + 2*s**4 + 2*s**5.\nAnswer: 1193*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1224 - 1?\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018673 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 8:31 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((297\/(-132))\/((-6)\/(-16)))\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 167 - 5*(-8)\/(-180). Let b = a - 167. What is the closest to -2\/3 in b, 3, -2\/17?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72052355, -72052353, -72052351, -72052349, -72052347, -72052345?\nAnswer: -72052343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2767? (a) -0.05 (b) -385 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 - (-1 + 2)*-3 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**3 + 6*x**2 + 7*x - 2. Let w(n) = -10*n - 13*n**2 - 5*n - 11*n**3 + 3 + 1. Let k = 223 + -210. Calculate k*p(h) + 6*w(h).\nAnswer: -h**3 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 13. Let t be i(11). Suppose -2*x = t*x - 4*w - 36, -4*w = 2*x - 24. Calculate the highest common factor of 30 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by (-3)\/(-2)*(-5084)\/(-93)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*m + 32 = 39, r + 5 = -2*m. Is r at most as big as 1\/102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239608465.\nAnswer: 5, 47921693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -19 - 11. Let o be 2\/g - (-117)\/130. What is the nearest to o in -3, 0.3, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17953001.87 - 1.47.\nAnswer: 17953000.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 100142 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -49, -5 in ascending order.\nAnswer: -49, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 30. Let g = -39.3 - -62.3. Let k = g + y. Sort k, -4, 1\/3 in increasing order.\nAnswer: -4, k, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 4*c**2 - 8*c - 4. Let t(w) = w. Let m be t(-5). What are the prime factors of d(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = -u - 3*i + 22, -2*u + 5*i = 24 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.094*-26.96\nAnswer: -2.53424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 287756497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -21. Let w(a) = -5 + a + 16 + 3. Let v be w(-11). Solve 0 = -t + v*t - o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -0.671\nAnswer: 1.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -190 + 206. Let o(m) = -d*m - 22*m + 66*m - 24*m. Let v(l) = 13*l**2. Determine v(o(x)).\nAnswer: 208*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/3*3 - (-32)\/7 and -97\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 720*c + 32000.\nAnswer: -2*(c - 40)*(c + 400)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 36 = 3*w, 5*b - 2*w = w - 72. Let y be b\/(-18) - (-2400004)\/(-6). Round y to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6346628 greater than or equal to 6346628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide (-54)\/6*-157*(6 + (-3)\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (32\/5)\/(16\/80). What is the highest common divisor of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 r when three letters picked without replacement from {m: 1, r: 2, x: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 3*n**2 - 4*n - 2. Let o be (-52)\/16 + (-2)\/(-8). Let b be t(o). Suppose b*l + 26 = 2*d + 5*l, -8 = 2*l. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -155*(-308)\/(-11990) - (-1 - (5 + -2))?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 103*d**5\/30 - d**4\/24 - 3*d**2 + 4*d. Let l(k) be the first derivative of q(k). Is l(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 11)*(-2 - 1 + 5)*(2 - 2 - n**3).\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -113829 divided by 79?\nAnswer: -113829\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 403759282?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*f + 44*f**2 - 68*f)*(-4 + 0 + 0)*(-3 + 3 - 3).\nAnswer: 528*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 - 63. Solve 19*v + 16 = r*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1473, 1237, 1001, 765, 529?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -20. Let z be (1 + k)*(-210 + 3). Suppose -48 + z = 3*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**7\/105 - p**5\/30 - 3*p**2 - 26. Let k(z) be the second derivative of f(z). Factor k(u).\nAnswer: 2*u**2*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5626632839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-25 + -1 + -1). Suppose 3*j - t = -q - 46, 50 = -2*j + 3*t. Let v be (j\/5)\/(-5) + 3. Solve -3*k + 16 = v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (549\/244)\/((-3)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**2\/3 - 6*o + 32\/3 = 0.\nAnswer: 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - c**2 + c + 1. Let t(j) = -4*j**3 - 13*j**2 + 6*j + 2. Let w(a) = 5*q(a) - t(a). Let b be w(8). Let l = 3 + b. Is l <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -200332?\nAnswer: -200340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*j*u*x + 3*j*x - 3*j + 2*u + 155*x - 2 wrt j.\nAnswer: 6*u*x + 3*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(78\/81 - 1). Let s be u - 2 - (-3)\/(-3). Suppose 0 = 2*g - s + 4. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 48. Which is the smallest value? (a) -0.5 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41478 plus 0.3?\nAnswer: 41478.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -759877 in 1\/5, -2, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 91 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**23)\/l)**(7\/10)*((l\/((l**(-7\/10)\/l*l)\/l))\/l)\/((l\/l**(-43)*l)\/l) assuming l is positive.\nAnswer: l**(-577\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9*q + 11. Let m(x) = 13*x + 16. Suppose -12*p - 6*p + 126 = 0. Calculate p*c(d) - 5*m(d).\nAnswer: -2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpwnxxy. What is prob of sequence xyp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1356, -1369, -1370, -1353, -1312, -1241?\n\"Answer: q**3 - 20*q - 1337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.0623405 to 3 dps.\nAnswer: 48.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/831 in -2\/7, -1\/40, -1\/3?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 12939 and 12939 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**5\/60 - a**2. Let u(w) = -4*w**2 + 4*w - 3. Let c(b) = -11*b**2 + 10*b - 8. Let q(n) = 3*c(n) - 8*u(n). Calculate s(q(g)).\nAnswer: g**4 + 4*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14197*f - 5377*f + 6266*f + 7908*f to the form o*f + v and give o.\nAnswer: 22994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11659?\nAnswer: 89, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 17709469.\nAnswer: 17709467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 - 0.3. Let t = 7.4 - 12.3. Let p = -5 - t. What is the nearest to p in 0.2, m, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.84 * 69\nAnswer: 678.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 - -76. Sort r, -8, -4 in ascending order.\nAnswer: -8, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -21009 and -21000 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v. Let h = 3 + 2. Suppose -10 = -h*n - v*n. Solve -2*y + 4*i - n = -10, -2*y - 2*i = 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 43\/4 of a microsecond?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1 + 69*o**3 + 3*o - 193*o**3 + 65*o**3 + 64*o**3. List the prime factors of a(2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -585 + 975. Suppose 8*q - 13*q - 5*p - x = 0, 4*q - 5*p = -348. Which is the second biggest value? (a) 0.3 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 683, 682, 681, 680, 679, 678?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5236.6 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 - 340914*i + 338330*i + 5*i**2 - 2)*(-i + 2*i - 3*i).\nAnswer: -2*i**3 + 5168*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13365 is divided by 13357.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -8*t**3 - 6*t**2 - 6*t + 7. Suppose -2*r + 2 = 0, 5*w = -4*r + 2 + 32. Let c(a) = 7*a**3 + 5*a**2 + 5*a - 6. Determine w*c(p) + 5*i(p).\nAnswer: 2*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c**3 - c**2 + 6*c + 4. Let g(l) = -4*l**3 - 5*l - 4. Let w(x) = 4*g(x) + 3*m(x). Let b be w(-3). Is 37 a factor of b\/(-3) + (-1340)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143947219 to the power of 1\/2, to the nearest integer?\nAnswer: 11998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9081, 8, 5, 2 in ascending order.\nAnswer: -9081, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10 + (96\/10)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 479 + 979. Suppose -21*u = -18*u - r. Let i be (-4)\/1 + u*4. What is i rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(121)*4 + sqrt(121) + -5*(sqrt(121) + sqrt(121)*-3))\/(3*sqrt(704)*-2 + sqrt(704) + (sqrt(704) + sqrt(704)*2 + sqrt(704))*-6)*6.\nAnswer: -69*sqrt(11)\/116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4250 + -4226. Solve 2*j + 4 = -4*g, 33*j - 28*j + x = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1 (b) 2\/17 (c) -0.167 (d) -2 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.568 - 2.568. Let o(s) = -s + 6. Let g be o(9). What is the closest to -3 in j, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**7\/105 + 47*c**6\/60 + c**5\/30 - 47*c**4\/12 - 2078*c**2. Find d, given that j(d) = 0.\nAnswer: -1, 0, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 5*t + 0*t. Let h be v(-1). Suppose -h*d = -3*z + 6, 4*d + 0*d = 2*z. Solve d*g + 7 = -5*s - 5, s = -3*g - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 404 (b) -4\/5 (c) 1\/4 (d) 0.0157 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/4 - (-7)\/(-42)) + 138\/46. Which is the second smallest value? (a) -1 (b) h (c) 0.1 (d) -3 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 h when three letters picked without replacement from {r: 1, v: 2, h: 2, b: 8, d: 1, o: 3}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 21 = 3*l, -l + 3*h - 4*h = -1. Let z(s) = -s**2 + 11*s + 7. Let w be z(8). Let p = w + -27. Solve 0 = l*v - 4*f + 4, f = p*v + 2*f - 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 150*w - 8400. Let t be n(56). Let v be ((-6)\/65)\/(4\/(-15)). Which is bigger: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/28 - 1014\/(-21). Calculate the greatest common divisor of 48 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.9626775 + -42\nAnswer: -46.9626775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 88547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/20 - (-22)\/8. Let p be (3 - 3)\/(u + -5). Suppose -4*q + q = -24. Solve -s - s + q = p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most -0.02636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/8 - 3\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -663*d**2. Let z(b) = -10*b + 4. Let u(v) = -4*v + 2. Let k(i) = 2*u(i) - z(i). Calculate n(k(r)).\nAnswer: -2652*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {s: 2, m: 4, o: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 1) + (0 - -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*(4 + (sqrt(363) + 2 + sqrt(363))*-2)**2*3.\nAnswer: 17429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l + 2959 = 3139 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*f**2*y**4 + 331*f**2*y - 28913*f**2 - 2*y wrt y?\nAnswer: 88*f**2*y**3 + 331*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -15, 0.1, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2043*j**2 - 17*j - 25. Is f(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -9*y - 37. Let a be x(-7). What is the second derivative of -7*h + a*h - 5*h**4 + 8*h**4 - 15*h**4 wrt h?\nAnswer: -144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 29 - 12 = 7*l, -4*l = 5*w + 29 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) 89 (b) 1 (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942 is divided by 50.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1064, -2131, -3198?\nAnswer: -4265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -2) + (8 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344.5 + -1643.2791572.\nAnswer: -1987.7791572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 1)*(-5*a + 5*a - 5*a**3) in the form n*a**2 + b + i*a + t*a**3 and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4975 - 54727\/11. What is the closest to 0.038 in v, 1, 2, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 13 - 1 = -2*l, -l = 2*y - 6. Let c(j) = 45*j - 86*j + 41*j - 2*j**y. Let r(i) = -26*i**2. Give r(c(o)).\nAnswer: -104*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 + 14. Let r = -77 + z. Let h be 2\/5 - (-2)\/70. Put 0.4, h, r in increasing order.\nAnswer: r, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 26*x. Let q be (-143)\/(-286) - (-6)\/4. Let c(g) be the second derivative of 0 - 1\/12*g**4 + 0*g**3 + 0*g**q - 37*g. What is c(i(k))?\nAnswer: -676*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 257.28 - 281.7. Let b = m + 27.6. Let u = b + -2.757. What is u rounded to 2 decimal places?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 - 71*s - 101. What is l(-33)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3, 5, -37.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -2\/25, -21, -7.4?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -14 - 7\/2*l**2 + 2*l + 1\/3*l**3. Calculate t(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -5*i**3\/3 + 5*i**2\/2 + 2*i - 2. Let u be d(-3). Let s be u\/(-5) - 6\/(-15). Solve 0*r - s = 4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -127.36\nAnswer: 636.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 33. Let s be (m - 5967804 - (0 - 0)) + 1. Let n = -3747802 - s. Round n to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 30*t**2 - t + 80. Give f(-30).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x - 6*x + 4*x)*(-2*x - x - x) - 4*x**2 + 6*x**2 + 3*x**2 + (1 - 3 - 3)*(-1 + 1 - 2*x**2) - 4 + 4 - 4*x**2 as r + u*x**2 + d*x and give u.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1)*i\/(i*i**(-3\/7))*i)\/(i**0*i**(1\/3)))\/((i\/(((((i**(-1)*i)\/i)\/i)\/i)\/i))**(-6)*(i**(-1\/4))**(1\/7)) assuming i is positive.\nAnswer: i**(2783\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*b = -2*b - 131, -4*b = -5*g + 240. Suppose -5*t - 47 + g = 0. Solve -5*m - t - 9 = -f, -4*f - 32 = 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 22 = b + 63, 5*l - 30 = -5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 4 - 16) + (5 - 6) + 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54915584 a multiple of 283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 9 = 3*z + y, 2*z = -4*y + 6. Let n(x) = -4*x + 1. Let p be n(z). Solve 3*s = -u - 13, u + 0*u + p*s + 21 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -2*q - 296. What are the prime factors of q?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -0.0179 (c) 4 (d) -5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -10 and -34\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 11*k + 285. Calculate z(-26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3106634 to the power of 1\/2, to the nearest integer?\nAnswer: 1763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -29*t**2 - 1. Let h(w) = -2862*w - 7. Give h(u(y)).\nAnswer: 82998*y**2 + 2855","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 34048894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-130) + 92\/78. Suppose 0 = -4*q + 20, -2*q + 2 = -5*v - 3. Do v and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.7 + 1.3. Which is the third biggest value? (a) 1\/2 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 498 * 25.9\nAnswer: 12898.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*m - 14. Let p = 49 + -89. Let d = p - -39. Which is the closest to -1\/3? (a) m (b) -1\/9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 9\/4)*(-14 - 84\/(-18)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(1*sqrt(3) + sqrt(3)) + (4 + (sqrt(3) - (1 + 0 + sqrt(3))))**2.\nAnswer: -6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 79\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*3\/99 - (0 + -3)*(-174)\/(-1566)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37469?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3)*w*w*w**1)\/((w**(-3\/5)\/w)\/(w\/(w**3\/w)))*(w*w*w**(2\/13)*w**4\/w)**15 assuming w is positive.\nAnswer: w**(15647\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -29 (b) 16806 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*f**2 + 13*f**2 + 48*f**2)*(0*f - f**2 + 2*f**2 + f).\nAnswer: 44*f**4 + 44*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 - -57. Calculate the lowest common multiple of (8\/42*m)\/((-5)\/35) and 25.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from puwaaawup. Give prob of sequence wpa.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 3*a + 13 = 0, 5*a + 30 - 13 = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1981675 divided by 1.\nAnswer: -1981675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 6*b**2 - 2*b + 8. Suppose 0 = i - 5*h + 12, -i - 5*h = 4*i - 30. Suppose -i*g = z - 3, -2 - 4 = -z - 4*g. Does 10 divide r(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17668675237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10489 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 10*h - 4. Suppose -9*k = -7*k - 2. Let n(o) = 10*o**3 - 3*o**2 + o + 1. Let p be n(k). What is m(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103463110?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-268470.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/25? (a) -0.3 (b) -4 (c) -2\/363 (d) 306\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43946 or 0.1?\nAnswer: 43946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -z - 20, 4*z + 71 - 101 = -6*n. Which is the third biggest value? (a) n (b) 1 (c) 0.03 (d) -4\/15 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 753*i - 1604. Calculate o(3).\nAnswer: 655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Let w(q) = -q**3 - 6*q**2 - 5*q + 3. Let r be w(-5). Solve 16 = -4*p - t*j + 3*j, 0 = -r*j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(2\/(-10)*-1) - -9. Which is the second biggest value? (a) u (b) -5 (c) 8 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 15 = 5. Suppose -d*v - 1 - 24 = 0. Let o(h) = -2*h**3 + 3*h**2 - h + 2. Let q be o(2). Sort v, q, -3 in descending order.\nAnswer: -3, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1031 - -30?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from {c: 18, o: 1, s: 1}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/100 and 71\/41890660?\nAnswer: 209453300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 186728 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3457*s - 36. Let g(x) = -3458*x - 48. Calculate 4*c(n) - 3*g(n).\nAnswer: -3454*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 29. Solve 4*g + i = y, 3*g - 7 = -0*g - i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 + 49. Suppose 35 = 5*v - 5*a, -2*v = -0*v + 3*a - 29. Suppose v*q - 2*h = 5*q + 26, 5*q - 17 = -h. Is q < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13705, 13701, 13695, 13687, 13677?\n\"Answer: -f**2 - f + 13707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.98 + 33.42. Round p to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272, -1206, -2762, -4940, -7740?\nAnswer: -11162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-645)\/(-54825))\/((-3)\/5)\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19421 - 19420.92. Which is the second biggest value? (a) 0.4 (b) -0.1 (c) -0.3 (d) -1\/6 (e) q\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 6*k - 10. Let r = -259 - -435. Suppose k*n - 4 = r. Does 22 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644 divided by 16087?\nAnswer: 1644\/16087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1 (c) -2\/9 (d) -1 (e) 596347\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 + -1412072?\nAnswer: -1412051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 - 4*a**3 + 3*a**3)*(0*a + 0*a + 2*a) + 10249*a**3 + 843*a**4 - 10249*a**3.\nAnswer: 839*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -3. Let u(a) = -2 + 3 - 2*a - 2 - 3*a**2 - a**q. Let d be -1 - 5 - (10 - 14). What is u(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -88.0861504 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 55840*s + 15 = 55845*s, -13 = l - 3*l - 3*s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2765 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + 12 - 12) + 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*g*l**3 + 6*g*l**2 + 2*g*l - l**3 - 146*l**2 + 6*l + 7686 wrt l?\nAnswer: 414*g*l + 12*g - 6*l - 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by -372944\nAnswer: 17\/93236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-12))\/((-1)\/18). Let w(h) be the second derivative of 5*h - 1\/6*h**4 + 0*h**2 + 0 + 2\/3*h**r. Find the second derivative of w(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -11.16\nAnswer: -10.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1074)\/(-2685))\/((-8)\/230).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 14 - (10\/(-2) + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 1\/2 (c) -0.7 (d) -3 (e) -287 (f) 16\/13 (g) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**4 - t**4 + 2*t**4)*(-3 + 1 + 0) + (15*t - 6*t + 8*t)*(1 - 1 + t**3).\nAnswer: 15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 343, 5 in descending order.\nAnswer: 343, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 52 = 9*w + 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -31\/12, 1\/5, -2\/9?\nAnswer: -31\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m**2 - 8*m + 2. Let v(q) = -14*q**2 - 17*q + 3. Let f(b) = -9*o(b) + 4*v(b). Is f(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.4 (b) 67 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p + 174. Calculate the remainder when f(26) is divided by 62.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23600259 and 49617?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 928328*d. Let l(z) = -11*z. Determine b(l(k)).\nAnswer: -10211608*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1492477.\nAnswer: 7, 101, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 1. Let g be ((-46)\/4)\/(3\/27 + (-55)\/90). Solve 0 = 18*p - g*p + w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 437661 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 2:16 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.009 - 0.9.\nAnswer: -0.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 10 = -2*f. Let m be f\/5*1 + (-396)\/495. Solve 0 = -2*d - m*d - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4118 + 468*v**2 + 4118 + 959*v**2.\nAnswer: 1427*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 11 = 8*w - 9 + 22, -w = -4*j - 28 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0094914127 rounded to six decimal places?\nAnswer: -0.009491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 325, 512, 697, 880, 1061, 1240?\nAnswer: 1417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 - -0.212. Let q = 37.908 + k. Let s = 44 - q. Which is the closest to 1? (a) -2 (b) 0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -683 - -0.3.\nAnswer: -682.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 755960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(441\/105)*((-12)\/45)\/(-2)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 255*q - 93 = 0, a + 10 + 6 = -2*q - 15 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9598183 and -0.4.\nAnswer: -9598183.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-8)*m**(-2\/11)*m*m*(m**8*m)\/(m\/(m**(3\/4)*m)) assuming m is positive.\nAnswer: m**(157\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000036555188 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*d + 467*d + 2*d**2 - 235*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150896 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1798, 14978, 50918, 120994, 236582, 409058?\nAnswer: 649798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a gram in milligrams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 66, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-4 - 3) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.7 - 5. Let w = -0.1 + 0.5. What is the second smallest value in -5, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -38. Suppose 2*k + x*k = 754. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 5)*3\/(-2). Let d(k) = k**2 + 6*k**3 - 1 + 0*k + 3*k**m - k - k**3. Calculate d(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7808.796 millennia in centuries?\nAnswer: 78087.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -9 - (-2 - (-6)\/(-5)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 - 72. Solve 0 = 2*q + h - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*v - 16*v**2 - v + 10*v + (-3*v + 3*v + v)*(3*v + 3*v - 4*v + 0 - v + 0 + (-4*v + 5*v + 0*v)*(-4 + 5 + 0) + 5*v + 0*v - 2*v).\nAnswer: -11*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 1036780*r + 8294496.\nAnswer: -4*(r - 8)*(r + 259203)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 146, 732, 1708, 3074, 4830, 6976, 9512?\n\"Answer: 195*h**2 + h - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b*x**5 + 17*b*x**2 - 5*b + 80892*x**6 - 1080*x wrt x?\nAnswer: 120*b*x**2 + 9707040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 18318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*a**2 - 88 wrt a.\nAnswer: -64*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 4*b + 2. Let f be s(-4). Let g(x) = 13*x**3 + x**2 + 3*x - 1. Is g(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/(3\/(-6)). Let p be 5\/(0\/(-1) + o). Solve -2*n + 2*q = 6, p*n + 5*q = q + 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 47 - 5 = 3*w, -56 = -4*w - 3*h. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50080 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 2*n - 0*n + 1016, 0 = -n - 4. Let i = p + -154. List the prime factors of i.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477337 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3 = 31. Suppose 0 = -0*h - 14*h + 14. Calculate the greatest common factor of h and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2884*j - 8267 - 385 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f = 1391 - 939 - 752 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56330, -56327, -56324, -56321, -56318, -56315?\nAnswer: -56312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 178483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 7. Suppose 5*f + 4*p - 13 - m = 0, -6 = f - 4*p. Suppose f*z - 134 = -v, -5*v + 3*v + z + 248 = 0. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 + 379\/6. Let j(n) = 4*n**2 - 2*n + 2. Let u be j(2). Let k be (1 - 1) + 4\/u. Is k at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40417811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, s: 2, v: 7}. What is prob of picking 4 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 178 (base 11) to base 8\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17646 divided by -3\nAnswer: 5882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11330241.\nAnswer: 3, 13, 353, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -21*c - 3*c - 5*c + 56 + 28*c. Let f(x) = 19*x**2 - x. Give f(n(p)).\nAnswer: 19*p**2 - 2127*p + 59528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -1\/2 (b) 0.0125 (c) 0.024\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296884?\nAnswer: 2, 7, 23, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17651941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*n**3*y**5 + 61*n**3*y**2 - 6*n*y**5 + 2*n*y**2 wrt y?\nAnswer: -360*n**3*y**2 - 360*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4*u = 3*n - 8, 2*n - 4*u + 18 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**2\/7 - 1572*d\/7 + 50760\/7 = 0.\nAnswer: -423, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -25314.654758632 and 31.\nAnswer: -25283.654758632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 4*k + k)*(98 - 82 + 122 + 44).\nAnswer: 182*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 9?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 5*r + 24, k - 2*r = -4 - 0. Let x be -5*(1 + k\/(-6)). Which is the biggest value? (a) -3\/2 (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + -13 - (11 + -45)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 b when three letters picked without replacement from {a: 1, r: 1, n: 4, b: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g**4\/7 - 225573*g**3\/7 + 83469000*g**2\/7 + 27848064*g\/7 = 0 for g.\nAnswer: -1\/3, 0, 376, 24688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - -1) + -4 - -4. Suppose 41 + 59 = f*w - 3*a, -32 = -2*w - 3*a. What is the greatest common factor of 22 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -171*k + 172*k + 194, 0 = -2*k + 4. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*n**4 + 18*n**4 + 19*n**4 - 2*n**3 + 2*n in the form k*n**2 + z*n**4 + t*n**3 + w + a*n and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-190464)\/720)\/(-32))\/(48\/(-360)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 349226 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k**2 - 7*k - 11 + k - k**3 + 0*k**3. Let i be f(8). Solve -i*u - 15 = -2*g, 3*u - 2*g + 35 = -6*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8*i - 1. Let a = 29 + -11. Let u(y) = y. Calculate a*u(l) - 2*z(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 - 0\/(1 - 9). Solve 0 = 4*r + y + 14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -237*r - 436. Is p(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, n: 1, c: 3}. What is prob of picking 1 n and 2 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + -11. Let m = -43 - y. Let w = -22.99963 - m. Round w to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 4)*(-5*m**2 + 0*m**2 + 4*m**2) + 7*m**2 - 10*m + 10*m + (-2*m + 3*m + m)*(-3*m - 1 + 1) - 3*m**2 + m**2 + 4*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4504*k - 1825*k + 136629 = 1710*k for k.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -56, -51, -46, -41, -36, -31?\n\"Answer: 5*d - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 0.0661\nAnswer: 0.001983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6, -39, -90, -165, -270, -411, -594, -825?\n\"Answer: -h**3 - 3*h**2 - 17*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127*163.\nAnswer: -20701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -3*k - 9, -421*k + 419*k - 3*o - 6 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9790 - 29374\/3. Which is the nearest to z? (a) 22 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1270686041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 - 52. Solve -4*m + o = -5*j, m + 0*j = 2*j + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5, -6*c + c + 100 = 5*w. Suppose -5*d - 4*v = -0*v - c, -v - 32 = -3*d. What is the remainder when 48\/(1 + 2) + 1 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/3)*t)**(-18\/5)*(t*t*t*t**15)\/(t*t\/t**(-21)))**(-46) assuming t is positive.\nAnswer: t**506","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -42645, -42643, -42641?\n\"Answer: 2*r - 42647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**4\/5 + 839144*h**3\/5 + 88020331592*h**2\/5 = 0.\nAnswer: -209786, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*l + 2*l + 3*l + 10*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from {r: 1, g: 3, j: 2, z: 6}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**7\/105 - y**6\/30 - y**5\/30 - 9*y**2. Solve k(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2. Let q(f) be the first derivative of -136*f**3 - 51. Determine q(o(a)).\nAnswer: -408*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + c = -r - 8, 7*c + 123142 = 123121 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4772377915.\nAnswer: 5, 19, 50235557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/20 - (-40)\/48.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -24*k - 76. Let s be q(-3). Let x be 5\/4*(-20)\/5. Which is the third smallest value? (a) 0.3 (b) x (c) s (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*k + 40. Calculate the remainder when 285 is divided by (k - (-272)\/28) + (-2)\/(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-1 + -1 - -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34630 is divided by 222.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9029.8 - 9030. What is the smallest value in m, -1, 31\/6, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1000145364 to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m + 182090 - 182090. Let v(f) = 4*f**2 - 8*f + 8*f. What is q(v(p))?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 4) to base 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, y: 1, v: 3, e: 2, t: 1, g: 1}. What is prob of sequence gyrr?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1990*n**5 - 954*n**2?\nAnswer: 119400*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x + 2*x + 2*x + (-6 + 7 - 13)*(3*x + 2*x - 2*x) - 3*x + 9*x + 5*x + (-4*x + 3*x + 0*x)*(1 - 4 - 1) to v*x + t and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4437 (base 12) to base 9.\nAnswer: 11287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 106 = 5*g, 6*t + 240 = 8*t + 3*g. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400 divided by -280?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56439.\nAnswer: 3, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 15*z - 46 + 14. Let y = 4 + -2. Suppose 2*n + 0*n - p = 9, -y*n + z = -3*p. Calculate the greatest common divisor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/(-3) - (892192\/24)\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-13) + (-29293)\/143. Let j = b + 200. Let v(g) = -g**3 + 5*g**2 + 7*g - 9. Let z be v(6). Put j, z, 3 in ascending order.\nAnswer: j, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 - 4*n**3 + 0*n**3 + (1 + 12*n**2 - 1)*(3*n - 4*n + 3*n).\nAnswer: 23*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 582*c**3 + c**2 + 2*c - 1. Suppose 0 = 4*f - 11*l + 6*l - 23, 2*f = -2*l - 2. Is u(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, k: 1, c: 4, l: 7}. Give prob of sequence kt.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(13) + sqrt(26)\/sqrt(18) + 4)**2.\nAnswer: -112*sqrt(13)\/3 + 2692\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 9 = 1, -3*j = -3*l - 12. Let y(t) = t**2 - 7*t + 26. Let r be y(j). Suppose -17\/2*o - 8*o**3 + r*o**2 + 1 = 0. Calculate o.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 505, -72, -342 in decreasing order.\nAnswer: 505, -72, -342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d + 64 = 0. Let r be (d\/3)\/(-4)*-3. Solve s - 5 = -3*l + l, -4*s + r = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280414 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 9. Suppose -5*z + l + 2 = 2*q, 4*q = z + 34. Let r = 37 + -13. What is the greatest common divisor of q and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/2 in -1, 6\/7, 5, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + (20 - 55) + -1 + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -554, -0.7, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15375, -30915, -46455, -61995, -77535?\nAnswer: -93075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*b - 134, -3*z - 2*z + 167 = 3*b. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36497\/546 - -834\/13. Calculate the common denominator of (-8)\/(-10) + (-1156)\/(-4080) and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1298778 to 4 decimal places.\nAnswer: 0.1299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pll when three letters picked without replacement from {c: 2, l: 10, e: 1, p: 1, j: 2}?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 15 = 24. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12071885*c**2*g - c*g + 7*c - 6645*g + 4 wrt c?\nAnswer: -24143770*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*k + 3*w, k - 4*w = -0*w - 4. Sort 4, k, -1.\nAnswer: -1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 0, 257, -4, 42.\nAnswer: -5, -4, 0, 4, 42, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(((u**(-8)\/u*u)\/u)\/u)*u**(-3)*u)**(1\/40)\/(u**(2\/5)\/u**2)**(-2\/37) assuming u is positive.\nAnswer: u**(41\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*u + 26, 7 = -2*j + 2*u + 23. Let w(d) = 11*d + 3*d**2 - 4 - 4*d**2 - 4*d. Is w(j) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -122*n**2 - 114*n - 18. Let k(q) = -81*q**2 - 76*q - 12. Let r(a) = 7*k(a) - 5*x(a). Is r(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4\/5 + 7*z**3\/5 + 11*z**2\/5 + z = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 8*d + 192. Calculate m(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 124347524 and 6614230?\nAnswer: 621737620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006433521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37821290 a multiple of 2782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0 = 6. Let c be (-4 + -76)\/((-2)\/4). Let i = -158 + c. What is the smallest common multiple of i and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-54)*-3 + (-3990)\/(-3420).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - -4. Let f = b + -12. Suppose -d - 175 = -f*j, 2*j - 5*d = 102 + 93. Calculate the remainder when j is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 165032 and 660128?\nAnswer: 660128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -9*y - 2. Let t be w(-2). Let z(h) = 15*h**3 - t*h**3 - 5 - 2*h + 5*h**2 + 11. Determine z(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = n - 3*n + 12, 0 = -2*n + 4. Suppose -2*s + 17 = 3*p + 6, 2*p = 2*s - 6. Let o be (1\/(0 - a))\/p. Does o = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -5. What is the highest common factor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -2*j**2 + 7*j - 443. Calculate k(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/49)\/((-23)\/(-161)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36a + -174?\nAnswer: 1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41.06 + 1.06. Let i = y - -40.3. Suppose p = 4*z - 15, -2*p - 2*p + 24 = 5*z. Which is the second smallest value? (a) z (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 11 = -4*b. Let l be 15\/b*30\/(-25). Let y be (-4)\/18 - 40\/(-18). Solve 2*f - x - 12 = -l*f, y*x = 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 506 and 1771.\nAnswer: 3542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1235 - 1000. Calculate the remainder when u is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1 + (0 + 2 - 1)*(-5 + 1 - 1)*(72 + 40 - 26))*(-2*l + 4*l + 2*l).\nAnswer: -1712*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -191.6\nAnswer: 191.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 4*p + 3. Let f be l(4). Does 13 divide ((-3)\/(-2))\/f*106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 - 2. Let c be z(2). What is the smallest value in c, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/k**(-9))*k)\/k)\/k**(-3\/11))\/((k\/k**(1\/2))\/k)**(-6\/11) assuming k is positive.\nAnswer: k**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j + 0*j - 10*j - 13*j to m*j + z and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 41*z = -36*z - 15, 3 = -2*x + z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 2\/54353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 474311655 to the nearest integer?\nAnswer: 21779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 11) in base 3?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 = -3*a, -2*q + a = 4*a - 9. Suppose 0 = q*f - 16 - 23. Solve -4*n + j - f = 12, -3*j = -5*n - 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 8526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Let p = -28.5 - -29. Let x = p + i. Which is the smallest value? (a) 2 (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 14 = 2*n. Let c(f) be the third derivative of 0*f + 1\/120*f**n - 1\/48*f**4 + 0 + 3*f**2 + 0*f**3. Factor c(q).\nAnswer: q*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 1, 4, -5 in increasing order.\nAnswer: -5, 1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 346586927?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v + 3. Let i(r) = 14*r - 8. Let f be ((-6)\/(-4))\/((-2)\/(-32)). Let p be ((-3)\/((-9)\/f))\/2. Give p*i(h) + 11*t(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/1*2346\/(-391)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 31. Let q be (1 + -1)*(p + 72\/(-16)). Which is the closest to -0.3? (a) -2\/25 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 2:43 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/5*15\/270*-45?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-6))\/((-6)\/(-8)). Which is smaller: a or 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(39)\/sqrt(3)*1.\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 + 3*b**2 + b**2 + (b - b - b**2)*(-2 - 1 - 1).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10659778009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 - 8*n + 13*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a17 - -318729?\nAnswer: 31a645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 2*g + 0*g)*(-2*g**2 + 2*g**2 - 2*g**2) + (-6*g**2 + 3*g**2 - 3*g**2)*(g - 6*g - 3*g).\nAnswer: 46*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -1427247\/2 and -0.01 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -l, -5*h + 2*h - 2*l = -11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2470007322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 206561285?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7300.363 + -3?\nAnswer: -7303.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 10:56 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*p = -3*a, a - 8 = 3*p. Find the second derivative of -c**4 - 4*c + 0*c**4 - c**4 + a*c wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 - 40*i**2 - 77*i - 38.\nAnswer: -(i + 1)**2*(i + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -64*v**3 - 2*v**2 - 2*v - 1. Does 11 divide n(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/sqrt(5)*6)**2 + (sqrt(45)*3)\/sqrt(9).\nAnswer: 3*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3161 divided by -160?\nAnswer: 3161\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 10106*w**2 + 4*w**3 - 10100*w**2 + 28291*w**2 - 8085*w**2.\nAnswer: 4*w**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 267 = -3*l, 2*j + 3*j + 2*l - 268 = 0. Let q = -95 + j. Let t = 60 + q. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011101101 - 1010001010110001?\nAnswer: -1001011111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 905 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2513056.\nAnswer: 2, 7, 13, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 22.66245 decades?\nAnswer: 2719.494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111443 or 222885\/2?\nAnswer: 111443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**5\/60 + 31*i**4\/24 + 94*i**3\/3 - i**2 + 56*i. Let d be f(36). Solve 0 = d*k - 16 - 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/(-255)*21\/5*(-23 - -18)?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2436111 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6897329 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 1 - 1)*(445 - 834 + 432 - 2*j + 646*j**2 - 59*j**2).\nAnswer: 1174*j**4 - 4*j**3 + 86*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-2)\/3)*(-28)\/6. Let u be j\/2 + -2 - 62\/36. Which is the nearest to -1? (a) u (b) 3 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000663 rounded to six decimal places?\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 240, 473, 684, 885, 1088, 1305?\nAnswer: 1548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-7) - 1) + (-18)\/63. Let -5\/2*z**4 - 5\/4*z + 0 + 5\/2*z**2 + x*z**3 + 5\/4*z**5 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*c - c - 5803080, 4*c - 5*u = 5803096. Suppose -c - 2449231 = 3*s. Round s to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85724617 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -19100 >= -19100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1135 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + j - 38, 2*j + j - 58 = -5*s. Let o = s - 7. Suppose -o*k + 3*k = -4000. What is k rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 11*v**3 + 2*v - 14.\nAnswer: -11*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*y - 228 + 473 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1480, 1487, 1504, 1525, 1544, 1555, 1552, 1529?\nAnswer: 1480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(11\/((-44)\/12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4729 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20001021211120 + -1202?\nAnswer: 20001021202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000343388 rounded to six decimal places?\nAnswer: -0.000343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 374 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 821873282.\nAnswer: 2, 29, 14170229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyjjjjjy. Give prob of sequence jjy.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and -8605?\nAnswer: 129075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 62\/3 of a decade?\nAnswer: 2480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4131 and 61479.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -3*f**5\/20 + f**4\/4 + 2*f**3 - 6*f**2 - 9*f. Factor s(l).\nAnswer: -3*(l - 2)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9148 + 9786. What is the greatest common divisor of b and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + u = 1260 - 328, -r - 3*u = -918. Calculate the greatest common divisor of r and 17215.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145357.9 hours to seconds.\nAnswer: 523288440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1406 = r - 4*r, 5*r = 3*c - 830. What are the prime factors of c?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 - v**2 + 2*v**2 - 22*v**3.\nAnswer: -22*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 271087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 2:26 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-114)\/399)\/(2\/140).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5541588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 12*j**2 - 14*j - 28. Let b be i(-12). Differentiate -29 - 132*g**4 - b*g**4 + 301*g**4 wrt g.\nAnswer: 116*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 2)*(-3 - 2*p + 3) - 6 + 14*p + 6 + 5 - 5 + 2*p + (1 - 3 + 1)*(-6 + 3 - 3*p + 1).\nAnswer: 13*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*n + 4*n - 1463, 3*r - 382 = -n. Let l = 367 - n. Solve -h + 14 - 10 = l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -7.3, -0.4, 1\/45522?\nAnswer: 1\/45522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6533 divide 839076732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2174, -4019, -5538, -6731?\n\"Answer: 163*c**2 - 2334*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 4, -0.1, 0.5, -1293?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60*d**3 + 2*d**2 + 323*d wrt d?\nAnswer: 360*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/15)\/((a**(1\/4)\/a*a)\/a)*(a\/(a\/(a*a**(-11)\/a)))\/a**(1\/16) assuming a is positive.\nAnswer: a**(-2443\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 + 2*q**2 + q - 2. Let b be f(2). What are the prime factors of 2\/b + 98\/8?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 13 + 16*c**2 + (-3*c - c + c - 1)*(c + 2*c + c) to n + o*c**2 + k*c and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 118460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 484562\nAnswer: -2422810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77027692 and 7?\nAnswer: 77027692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(-1 - 2\/(-4)). Suppose -3*c - c = x + 9, b = -c - 2*x - 4. Sort c, -5, 5 in ascending order.\nAnswer: -5, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 - -0.4. Suppose 4*i - 36 = 4*l, 19 = 3*i + 3*l - 4*l. Which is the biggest value? (a) i (b) p (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*v + 2 = -2*s, 5*s - 29 = -2*v. What is the least common multiple of 0 - (6*-1 - 0) and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**4 + p**4 + 2*p**4 + (-8*p**2 + 9*p**2 - 28*p**2)*(-27*p**2 + 5*p**2 + 108*p**2) to the form m*p**3 + j + a*p**4 + g*p + l*p**2 and give a.\nAnswer: -2321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994059713.\nAnswer: 994059713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svas when four letters picked without replacement from ovsovovyooasoass?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90464*j**5 + 25916*j?\nAnswer: -1809280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 7:03 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l + 18. Let s be 8\/(3\/(2 + 8 + -7)). Calculate p(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(57\/(94221\/435)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75572 and 12852.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*i**5\/5 + 10489094*i**4\/5 + 79413384*i**3\/5 + 168670552*i**2\/5 + 77913568*i\/5 + 10274304\/5 = 0. Calculate i.\nAnswer: -107024, -4, -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - p**2 + p - 2. Determine q(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 20*y**2 - 129*y**2 - 11*y**2.\nAnswer: -160*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwhhwwhhhhh. Give prob of sequence hww.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 17589*z**2 + 725850*z - 2019168.\nAnswer: -3*(z - 38)*(z - 3)*(z + 5904)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 11.4. Let v = -5.4 + g. What is the biggest value in 2, v, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 78\/(-20)*1 + -3 and 46\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 10*f + 13. Let w be r(9). Solve 2*q = q + w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/7 + 116*d - 1632\/7.\nAnswer: 2*(d - 2)*(d + 408)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Let n be (-10)\/25 + (-22)\/(-5). Suppose 2*w - 5*c = 68, s*c - n*c - 56 = -2*w. Solve u + 4*p = -w, u - 4*p - 4 = -3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**7\/70 - t**3\/3 - t**2 - 3*t. Let u(c) be the first derivative of j(c). Differentiate u(x) with respect to x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + u - 9 - 31 = 0, 0 = -2*m + u - 16. Let q be (-3)\/4*m\/(-33). Which is the second smallest value? (a) q (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**7\/14 + d**6\/5 - d**4\/2 + d**3\/2 - 13*d. Solve r(g) = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -146118*w - 38988 with respect to w.\nAnswer: -146118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.656934 and 258516.\nAnswer: 258515.343066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i + 630*i**3 + 162492*i**2 - 162490*i**2 + 3*i as f + y*i + r*i**3 + k*i**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ininffnnlnnnifnnifn. Give prob of picking 1 n and 1 l.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 5*p - 80. Let s be d(7). Sort s, -7, 1 in ascending order.\nAnswer: -7, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1420 divided by -355.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0.045899906698\nAnswer: 3.045899906698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-12))\/(13\/(12 - 64)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 + 490 = 8*p. Suppose 5*i - p - 116 = 0. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-2*sqrt(1900) + sqrt(1900))*2)**2 - ((1*sqrt(1216) - (sqrt(304) + 1))*1)**2.\nAnswer: 8*sqrt(19) + 7293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*b + 59 + 126 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(9) + sqrt(18)\/sqrt(2)) + sqrt(3402)\/sqrt(6) + (sqrt(84)*1*4)\/((sqrt(72)\/(sqrt(6) + sqrt(30)\/sqrt(5)) - sqrt(12)) + sqrt(12)))**2.\nAnswer: 8575\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/66)\/(23\/(207\/(-12)))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*p - 1439 = 0, 0*q - 2*q + 3*p - 570 = 0. Let d = -177 - q. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 - 7*m**2 - 225*m - 645. Let a be b(-3). What is the highest common divisor of a and 21840?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/9)*j**29)**(1\/38) assuming j is positive.\nAnswer: j**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17658220?\nAnswer: 2, 5, 19, 31, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 3. Suppose 3*h + 4*c + 25 = 0, h - 3*c + 0*c + 17 = 0. Let s(l) = l**2 + 10*l - 15. Let i be s(h). Let g(q) = -4*q + 5. Give i*g(d) - 7*y(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*((-20)\/4 + -3). Does 30 divide (-4)\/(y\/(-6)) - -104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -326 - -9779\/30. Find the common denominator of 59\/55 and h.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48510 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 22. Let x be t(6). Is 22 a factor of (x\/4 - -9)*10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893811387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 16. Let w be (-4)\/(-18) + (-16)\/234. Which is the closest to -2? (a) 0 (b) w (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 1226*m + 2. Let a(d) = d. Give p(a(u)).\nAnswer: 1226*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 40\/53 (b) 3 (c) 1\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/1346872 and -13\/4.\nAnswer: 1346872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 25510*n + 11340600.\nAnswer: 5*(n - 4610)*(n - 492)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -0 - 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -421 + -5?\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2377264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 288473345 and -0.3?\nAnswer: -86542003.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 10) to base 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11931, 12687, 14747, 18765, 25395, 35291, 49107, 67497?\nAnswer: 91115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12598.129858 rounded to one decimal place?\nAnswer: 12598.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 161029763.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-112)*6)\/((-3)\/(-2)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*d + 658. What is the greatest common divisor of 470 and d?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2562, -11784, -27682, -50262, -79530, -115492?\n\"Answer: -w**3 - 3332*w**2 + 781*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 859 + 848 + 847 + 2*h + 877 - 3431.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -139\/5 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) 0 (c) 148 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 divided by 1759133?\nAnswer: 207\/1759133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*a + 806 + 503 = -935 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2768240, -5536460, -8304680?\nAnswer: -11072900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**3 + 21*i**2 - 40*i + 24. Let p(u) = 4*u**3 - 20*u**2 + 40*u - 24. Let s(k) = -4*c(k) - 6*p(k). Factor s(t).\nAnswer: -4*(t - 6)*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -2*i + 24, -3*i = 6*d - 3*d - 21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 10*z**3\/3 - 15*z**2\/2 - 10*z - 7. Factor c(b).\nAnswer: 5*(b - 2)*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -2\/7 (c) -1\/9 (d) 0.58 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**5\/15 - 7*b**3\/6 - 10*b**2. Differentiate v(q) wrt q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 9*h. Let q be w(-9). Suppose 0 = -4*o + 4*s + 288, -5*o + q*s = 2*s - 395. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16931626 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4 + s**2 + 0*s + 0*s**2 - 4*s. Let l(a) = a**2 - 5*a + 5. Let z be 56\/7 + -1*3. Calculate z*q(t) - 4*l(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 + 9\/30*(-41)\/(-3) and 109\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226622674 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6024384 to the power of 1\/2, to the nearest integer?\nAnswer: 2454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*p - 3*p + 42*p - p + 2*p - 3*p + (1 + 0 + 1)*(-p + 0*p + 3*p))*(4 - 3 + 1) in the form g*p + u and give g.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 2*m - 42 = 0, -2*n + 1188 = 5*m + 1251 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/(-3) - 2\/3. Let y be ((-6)\/r)\/((-12)\/(-160)). Let l = 35 - y. Calculate the remainder when 55 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*g - 201. Suppose -9*s + 4*f = -4*s - g, 0 = 5*f - 15. Calculate the highest common divisor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-243)\/162*28\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 40*u**2 - 33*u - 5. Let z be y(1). What is the second smallest value in z, -13, 0.3, -21?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmgmmggmgm. What is prob of sequence gg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 11. What is the units digit of s(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1878, 0, -2, -6\/11, -18.62?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3037046 - -31?\nAnswer: 3037077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 269 - 134. Let n be (-2)\/(-5) - i\/25. Let d(y) = -10*y**3 - 5*y**2 - 5*y + 9. Let p(a) = -5*a**3 - 3*a**2 - 3*a + 5. What is n*p(u) + 3*d(u)?\nAnswer: -5*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560597939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -47*u**2 - 114*u + 113. Give v(1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -14*z**2 + 168*z + 1. Let g(f) = -12*f**2 + 168*f + 1. Calculate -6*g(b) + 5*p(b).\nAnswer: 2*b**2 - 168*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*v**3 - 151*v**2 + 84*v**2 + 95*v**2 - 7*v**3 - 6*v**3.\nAnswer: 9*v**3 + 28*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 19, o: 1}. Give prob of sequence oj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 218671071 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1058624+1\nAnswer: 1058625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 8:35 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.45 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-3530.7\nAnswer: 1412.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5 + 38*z**2 - 81*z**2 + 9*z + 42*z**2. Let w be 2 - 3*1\/(-1). Give c(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*f + 6*f - 14*f + 21*f**2 - 10 wrt f?\nAnswer: 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115144, -116400, -117650, -118894, -120132?\nAnswer: -121364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**4 + 845*c**3 - 47400*c**2 + 882000*c = 0.\nAnswer: 0, 49, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14872 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7471 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 68957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-887 - 3)*(-16)\/2. Suppose 4*r + 4*n = 6244, -4*r = 5*n - d + 876. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -765*z**3 + 5778*z - 3603. What is the derivative of w(l) wrt l?\nAnswer: -4590*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -2, -6 in descending order.\nAnswer: -2, -6, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27905 is divided by 267.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 2 (b) -0.02 (c) 0.14 (d) -0.4 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -39 + 33. Let h be 5\/4*(o + 1). Suppose 4*v = 5*a - 132, -h*v = 5*a - 3*v - 114. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**7\/2520 - c**6\/48 - c**5\/12 - 11*c**4\/24 + 16*c**2. Let r(s) be the second derivative of x(s). Is 6 a factor of r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22634244, 22634250, 22634258, 22634268, 22634280, 22634294?\n\"Answer: s**2 + 3*s + 22634240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 878*p - 178186. Determine s(203).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + (sqrt(25)\/(sqrt(20)*-1) - (1*sqrt(5) + 1)*5)*-1).\nAnswer: 3 + 33*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4198125.\nAnswer: 3, 5, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 871, 2162, 4145, 7132, 11435, 17366, 25237, 35360?\nAnswer: 48047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-192)\/1504)\/((14\/6)\/(490\/210)).\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2. Let v be (6\/9)\/((-1)\/(-3)). Let b(r) = -20*r + 20*r - v*r**2. What is p(b(u))?\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-70)\/10 + (9*4\/(-6) - -22). Let l be ((-12)\/(-2))\/3 + 3. Solve -6 = l*w + k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-6)*(3 - (-19)\/(-6)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c + 56. Let g be (-7)\/((-28)\/60) - 1. What is the greatest common divisor of c and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**4 + 2*j**3 + j. Let t(m) = 3*m**4 - 4*m**3 + 23*m**2 + 15*m + 47. Let a(b) = 2*f(b) + t(b). What is the second derivative of a(r) wrt r?\nAnswer: 60*r**2 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*-2281\nAnswer: -2509.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 17184746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/4 - 21249*q\/2 + 296898.\nAnswer: 3*(q - 14138)*(q - 28)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2022 + -1955. Calculate the smallest common multiple of o and 2.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/252*3)\/((-1)\/4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u. Let n(c) = -16810120*c. Give n(w(o)).\nAnswer: 117670840*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 6*r + 2. Let g be -1 - (0\/2 - -5). Let x be o(g). Solve x*z - 4*z = 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5875 is divided by 998.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*v - 7 + 116 + 119 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 14) to base 16.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 12 = 3*q + 2, 2*k - 4*q = 20. Suppose 326 = k*j - 0*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*1031.888.\nAnswer: -9286.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-110)\/(-77) + 8\/14. Let f be ((-2)\/p)\/(19\/(-114)). What is the third derivative of 6*h**2 - 9*h**2 - 10*h**2 + h**f wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71 + 36 + 23*y**3 + 30 to s*y + u + v*y**3 + j*y**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7591123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8683743 and 432642?\nAnswer: 121572402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 - r**4 + 0*r**4 + (27*r**2 - 6*r**2 - 18*r**2)*(-2*r**2 + 4 - 4).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5231 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -0*a - 8*a - 20, -2*a = 4*s + 20 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 14*r**3 - 14*r**2 - 2*r - 7. Let n be j(3). Let q = n + 16. Calculate the highest common divisor of 30 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.4, 0.16, -10, -4.63?\nAnswer: -4.63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 103*g**2 + 12. Let r(c) = 206*c**2 + 23. Determine 7*h(d) - 3*r(d).\nAnswer: 103*d**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 48 = 5*g + 14, f - 2*g = -7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -7, 0 in decreasing order.\nAnswer: 0, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -11*p - 2. Let r be (-2)\/3 + (-328)\/12. Let f = r - -30. What is the lowest common multiple of f and l(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) + -1))*-5 + sqrt(63) + 5 + (sqrt(1008)*-1*-5 - sqrt(1008))**2.\nAnswer: 3*sqrt(7) + 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(5\/4)*y)**23)**(2\/11) assuming y is positive.\nAnswer: y**(69\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 20 = 8*f. Find the second derivative of 603*d + 12*d**5 - 584*d + 0*d**f wrt d.\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 9*g**5\/20 - g**4\/4 + g**3\/2 + g**2 - 10*g. What is the tens digit of d(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 195\/63 + (-24)\/36 - (-16 + 18)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 55 - 19 = -14*z, 386*g - 84 = -4*z + 196*g + 195*g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76302 - 76301. Suppose -2*t = -4*b + 4, -4*t = -0*b - 4*b. Calculate the lowest common multiple of i and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73293073 is divided by 1367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) -3 (b) 3.51 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 31500000 = v. What is v rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = -3*c + 27, 131*q - 5*c - 39 = 129*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1687 by -11.\nAnswer: 1687\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*a**3 + 2*a**2*d**2 + a**2*y - a*d**2 + 9*a*d*y - 3*d**2 wrt a.\nAnswer: -48*a + 4*d**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*d - 30 - 27 = 0, -o - 2*d = -6. Let q be (4\/(-8))\/1*12. Let k be ((-4)\/q)\/(1\/3). What is the greatest common divisor of o and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (52 + -30) - (-22 - 13)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*g**3 + 544*g**2 - 30*g**2 + 72*g**2.\nAnswer: 67*g**3 + 586*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 2\/(-6))\/(2\/(-182)). Let s = -619\/21 - p. Determine d, given that s + 8\/7*d + 2\/7*d**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 561589\nAnswer: -561589.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 851 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 91 = -2*b + 143, 123 = 2*j + 3*b. Let i = j - 39. What is the remainder when 118 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/39)\/(o*o**11*o))\/(o**(-14)*o*o**(-2\/27)*o))**(2\/57) assuming o is positive.\nAnswer: o**(-614\/20007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**10*k)\/k*k*k)\/k*k**(-2\/5)*k**(-1\/17)*(k\/(k\/(k*k**7\/k)))\/k)**(-11) assuming k is positive.\nAnswer: k**(-15466\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -12466*l - 75583. What is a(-6)?\nAnswer: -787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 26. Let y(l) = -30*l - 2*l**2 - 6 + 11 + l**2 + 0*l**2 + 4*l**2. Let o be y(10). Solve o = -5*c + v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -335*h**2 - 1318*h**2 + 300*h**2 + h + 13 - 15 as p*h**2 + l*h + s and give p.\nAnswer: -1353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = 13*q - 185. Solve 4*h = 4*r + q - 18, 3*r - 12 = 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9, -2304, -6129, -11484, -18369, -26784, -36729?\n\"Answer: -765*q**2 + 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u - 4*o = -90, -4*u + o = -343. Let n = -171 + u. Let b = 101 + n. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5 - 90*l**4 + 642*l**3 + 1546*l**2 + 816*l = 0 for l.\nAnswer: -51, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -15975.9872?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7465.\nAnswer: 5, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 10*a - 7. List the prime factors of c(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 43 + g + 42 - 85. Let o = 1 + 1. Suppose -2*q + c = -o*c - 10, -5*c = 2*q + 6. Determine v(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 247 + -43. Let j = 203.9 - x. Which is the closest to 2? (a) -1\/3 (b) j (c) -0.5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -1746*y + 13. Let g be w(-1). Suppose 0 = 12*k - 41 - g. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.07 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 16, 2*l - 6*u - 66562 = -u. Suppose 45*q - l = 5229. Is 856 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 4 = 3*w. Let i = 182 - 33. Let p(v) = -149 - 6*v + i. Give p(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*a - 3. Let d be (0\/1)\/(-3 + a). Let v be (1 - 24\/5) + (-8)\/40. Put -1, d, v in increasing order.\nAnswer: v, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + l**2 + 34. Calculate q(0).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 8*y**2 - 15*y + 7. Let s be l(-10). Which is smaller: -44 or s?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2203103139 + 16*l**2 - 2203103139.\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (-3 + 2)*-3 - 236\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 783?\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idr. Give prob of sequence dr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 0)*(15 - 13). Let d(n) = -n**3 + 19*n**2 - 35*n + 19. Let m be d(17). Suppose 42 = 11*u - m. Solve r*j - 4 = -u*w, 5 = -3*j + 4*j - w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 14) to base 4\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 c when three letters picked without replacement from ycccyhycchh.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -9*k - 14. Is k\/18 - (-2 + (-9500)\/24) a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five thirds of a year in months?\nAnswer: 220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 274.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/540 and -113\/1044?\nAnswer: 15660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 364 and 8190?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**6\/24 - a**5\/6 + 19*a**2\/2 - 117. Let q(w) be the second derivative of l(w). Determine r so that q(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11072*k - 5547*k + 7616*k**3 - 5526*k as s*k**3 + w*k + z*k**2 + a and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1858 by -27.\nAnswer: -1858\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 220327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 43295931?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txpxtaxtjjo. Give prob of sequence tjxa.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is f1 (base 16) in base 2?\nAnswer: 11110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11006082 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -149, -384, -693, -1064, -1485, -1944, -2429?\nAnswer: -2928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 20560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 19*z**2 - 3*z + 8. Calculate j(2).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 12547*u**4 - 34*u**2 + 3*u. Let f(w) = -25090*w**4 + 67*w**2 - 7*w. Let x(b) = 9*d(b) + 4*f(b). Find the third derivative of x(k) wrt k.\nAnswer: 301512*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3556991, 3556987, 3556983, 3556979, 3556975, 3556971?\nAnswer: 3556967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2. Let x(a) = 64*a**2 - 1. Give x(s(c)).\nAnswer: 1024*c**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3564696 and 11832?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 11:06 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/1*(2 + -44). Suppose 54 = 5*a - 10*a + 3*i, -3*i - k = 3*a. Let x be (-3)\/a + (-5)\/52. What is the third biggest value in 4, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159645587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -0.59478679.\nAnswer: -0.09478679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*l - 6*y + 332, -l + 63 = -3*y. Suppose 3*h - 27 = -x + 12, 2*x + 3*h = l. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27.9*37\nAnswer: 1032.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/975 and -8\/51.\nAnswer: 16575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l - 911 = 3*d - 990, 3*l - 30 = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - g - 20, t + 5*g = 5*t + 45 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 129. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a7 + 14ab31?\nAnswer: 14aa79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r + 190 = 72*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54 and -0.031184?\nAnswer: 1.683936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x + 67 = 50 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3774888.\nAnswer: 2, 3, 13, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 - 12. Suppose -w = -2*k + 7, -k + b - 13 = -4*w. Let v be ((-66)\/4 - w\/7) + 2. Is v at most -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -709, -1948 in ascending order.\nAnswer: -1948, -709, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -345125 - 14?\nAnswer: -345143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + 4*sqrt(90)\/sqrt(2) + 1 + -1.\nAnswer: 5 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1154235 divided by 1.\nAnswer: -1154235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 - 25 = 15*r. Suppose 0*h = -r*h + 850. What is the least common multiple of 110 and h?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2. Let b(j) be the first derivative of -50*j**3\/3 - j**2\/2 + 708. What is b(k(z))?\nAnswer: -450*z**4 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 3*c + 1470 = 0. Let j = -231 + c. Is j at least 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 309*d*z**3 + 2*d*z**2 + 7*d*z - 31*d - z**3 - 1 wrt z.\nAnswer: 1854*d*z + 4*d - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 + 97. Let k(g) = -3*g**2 + 17*g + 15. Let o(d) = d**2 - 6*d - 5. Let s(t) = h*o(t) + 6*k(t). Determine s(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74463 is divided by 18469.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3919.\nAnswer: 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/6 - 190\/12 and -87\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-4 - -2) - 1\/(-1). Which is the nearest to -0.2? (a) l (b) -0.4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 - 2*z**2 + 5*z**2)*(-1 + z**3 + 1) + (z**2 - 2*z**2 - z**2)*(-3*z + 0*z - 2*z)*(0*z + 0*z - 2*z**2) - 2*z**5 + 5*z**5 - 5*z**5 - 4*z**4.\nAnswer: -24*z**5 - 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = 5*d + 5*v, 4*d - 3*v - 179 - 198 = 0. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6749952 and 384.\nAnswer: 6749952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-189)\/(-18))\/(-21) - (-535998)\/(-4). What is y rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 0.5, 1557, -71, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y + 12. Calculate h(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 38, 32, 22, 8, -10, -32?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n - 23 = 0. Suppose 5*r - r = -172. Let t = n - r. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 4*p - 5. Let d be g(-4). Let l = -0.13 + 0.23. Let u = 4 - 0. Which is the biggest value? (a) u (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 6:49 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5 = 3*q - 7*q, 2*q = d + 7. Let r be (-3)\/(d*-2)*10. Suppose -2*x - 9 = -r*x. Solve 0*p = -3*p + x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 3\/2*f**2 + 2*f + 1\/4*f**4 - 4\/3*f**3 - 8. Let j be c(3). Solve -r = -2*i - 6, j*i + 10 = -0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 4237943\nAnswer: 423794.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714 is divided by 94?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 9*z + 1. What is w(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2061*b - 14508. Calculate g(7).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 2. Let p(c) = -c + 2. Let u(t) = 5*n(t) + 4*p(t). Let j be u(10). Suppose -i - i = -j. Solve 2*o - 10 = i*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 882.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 6*o + 29620. Let m = -11762 - o. What is the tens digit of (-4)\/(-10) + m\/(-30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 31*g + g**2 - 66*g - 63 + 30*g. Let m be s(11). Suppose -m*n + 344 = 4*h, 3*h = 3*n + n - 442. Does 28 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 5*d**2 - 8*d + 5. Let c be n(-6). Let k = -11 + c. Suppose -k*f = -7*f + 7. What is the highest common divisor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6)*b*b*b\/(b**11\/b) assuming b is positive.\nAnswer: b**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.4 and 0.027.\nAnswer: -3.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*b = -42*b - 1062. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2450048 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 183*y - 22774. Calculate u(268).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 64*l - 724. Determine r(24).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**5\/20 - 3*f**3\/2 - 2*f. Find the second derivative of x(y) wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35260 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212\/(-2) + 2091750\/16734.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 32686.\nAnswer: 163430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31411 is divided by 214.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhgd when four letters picked without replacement from {d: 2, k: 3, h: 7, g: 3}.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020425 rounded to 4 dps?\nAnswer: -0.0204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f - 2*f + 14*f)*(4*f + 2*f - 2*f) + 804*f**2 - 342*f**2 - 380*f**2.\nAnswer: 158*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11 - 0.17. Which is the biggest value? (a) 1\/4 (b) o (c) -0.5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, k: 4, n: 4, u: 1, t: 1, f: 2}. Give prob of sequence ffkw.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**6 + 132840*v**3 + 3*v**2 + 66*v - 137?\nAnswer: -120*v**3 + 797040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 21*y**2 + 1. Let w be b(1). Find the first derivative of w*r**3 + r**4 + 3 - 22*r**3 wrt r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4367 is divided by 1090?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8517756.107 rounded to the nearest one hundred thousand?\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + 7*j - 90. Let z be (-4968)\/486 - (-3)\/((-27)\/(-2)). What is the remainder when 50 is divided by y(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -567*v**2 - 3*v + 1. Let w be h(-3). Let k = w - -30415\/6. Find the common denominator of (2\/10)\/((-8)\/56) and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 89\/6, 1\/2, -5 in decreasing order.\nAnswer: 89\/6, 1\/2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -187 - -266. Suppose -g*k - 845 = -84*k. Calculate the remainder when k is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -2*y**3\/27 - 124*y**2\/9 - 7688*y\/9 - 133. Factor g(q).\nAnswer: -2*(q + 62)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-60)*(-1 - 1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295 + 0*x + 4*x - x - 295.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g**2 - 6. Let d(z) = -z**2 - 1. Let n be 3 + ((-5)\/1 - 3). Determine n*d(t) + p(t).\nAnswer: -t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -5. Let g(v) = 3*v**t - 2*v**2 - 3 - 5*v + 4*v. Is 10 a factor of g(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 6071?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -803 divided by 789?\nAnswer: -803\/789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/2 + x**2\/2 + 9*x\/2 - 9\/2.\nAnswer: -(x - 3)*(x - 1)*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 8 = 0, 0 = -4*y - 0*b - 5*b - 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77547 + -751?\nAnswer: 76576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/9 + 178618*q\/9 - 3569960\/3.\nAnswer: -2*(q - 89249)*(q - 60)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**3 + v**2 - v + 1. Let o be h(1). Let z = 237 + -242. Sort o, -1, z, 1 in ascending order.\nAnswer: z, -1, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**13*(s\/(s*((s\/s**(-1\/16))\/s)\/s)*s*s)\/s assuming s is positive.\nAnswer: s**(239\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 3:19 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1056, 4, -5 in decreasing order.\nAnswer: 1056, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -399813, -799665, -1199543, -1599459, -1999425, -2399453?\n\"Answer: -2*n**3 - n**2 - 399835*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 209*s**3 + 769*s**2 + 69236*s wrt s?\nAnswer: 1254*s + 1538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94500 is divided by 275?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8602 = -2629*m + 2238*m for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pllllpllplplllplppl. Give prob of picking 1 p and 1 l.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -101001100011010011110 (base 2) to base 10\nAnswer: -1361566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2774*x**2 - x - 2. Let q be t(1). Let s = q - 1537. List the prime factors of s.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = s - h, 339 = -7*s - 2*h + 373 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000020586 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) 1\/5 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*d + 20, -d - 20 = -3*v - 5*d. List the prime factors of 810 - -4 - v\/(-2).\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -238 (base 13) in base 6?\nAnswer: -1441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/2, -0.6, -2.2, -1\/11.\nAnswer: -2.2, -0.6, -1\/2, -1\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -27 - 54*g + 5 + 59*g. Let a be o(7). Solve 4*r + 5*y - 4*y = -a, -5*y - 15 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 455275 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21446.\nAnswer: 2, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8831739.2 - -0.1.\nAnswer: 8831739.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -986 - 3108*d**2 - 588 - 36*d**2 + 57 wrt d.\nAnswer: -6288*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 74737374, 298949486, 672636346, 1195797960, 1868434334?\n\"Answer: s**3 + 74737368*s**2 + s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4\/(q**(-10)\/q))\/(q*q*(q**2*q)\/q*q*q)**(-9\/5) assuming q is positive.\nAnswer: q**(129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 11:58 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + (7 + -112868)\/7. Let x = -8821 - v. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54 + -4 - (11 - (17 - 18))) + 4 + -15?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45244541*z + 7518916 wrt z.\nAnswer: 45244541","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 10*f**2 + 5*f + 4. Let v be c(11). Let t = -58 - v. Suppose -h + t + 4 = 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**4\/24 - l**3\/2 + l**2. What is the least common multiple of 4 and t(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 67*f**3 + 6*f**2 - 12*f + 2. Is w(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 e when four letters picked without replacement from {e: 3, f: 1, l: 7, v: 5}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 4*c**2 - 4*c + 3. Let y be z(2). Suppose j = -y*j + 12. Solve 0*u - j*u - 12 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5}. Give prob of sequence ii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -30410 (base 5) in base 9?\nAnswer: -2640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*n + 18. Solve n = -5*j - 22 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*1 - (-37 - -40)*(-2)\/3. Is a equal to -2\/8999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*l - 166 = 0, 3*g - 5*l = 8*g - 875. Suppose -524 = -11*y - g. What is the lowest common multiple of 32 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 788, -0.06, -3, 1, 4, 4.6 in decreasing order.\nAnswer: 788, 4.6, 4, 1, -0.06, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -341*l. Let o(y) = -17*y. What is -121*o(c) + 6*w(c)?\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 332 and 51316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**2 - 1435687098*a + 1435687098*a.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 219594406?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5251922, 5251921, 5251920?\nAnswer: 5251919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 27) + (1 - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/((7\/(-2))\/(-7)). Let k be 4\/r*8 - -726. Round k to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-21) + 1\/7. Put -5, 9, n in decreasing order.\nAnswer: 9, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3546819\/427330 + -2\/42733. Find the common denominator of r and ((-4)\/28)\/((-1)\/23).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.23673? (a) -2\/5 (b) 3 (c) -5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725170 is divided by 9933?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/7*-1*4\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -10, -2*v + 5*n - 12 = -4. Let o be -3 - -9 - v - 2. Is o greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 26842250\nAnswer: 26842255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 - 137 + 137.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3\/5 - 109982974*t**2\/5 - 3024063532488192*t\/5 + 6048127504908288\/5 = 0. What is t?\nAnswer: -54991488, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - 6*d - d**2)*(-d - 3*d - 5*d).\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 73974 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 h(o) = -4*o**2 - 25*o. Let n(u) = 103*u. What is h(n(q))?\nAnswer: -42436*q**2 - 2575*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 454.729ml in litres?\nAnswer: 0.454729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 710 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f - 30. Suppose n - s = -6, 4*n + 0*s + 30 = 2*s. Let g be l(n). Find the third derivative of 5*p**2 - 14*p**4 + g*p**4 + 11*p**4 wrt p.\nAnswer: 288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-4))\/(3*((-6)\/(-66))\/1*-1)?\nAnswer: -55\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from qeaoqer.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.47 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 10*f - 24 = 14*f, -u + f - 12 = 0 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, -3, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 40 = 3*a. Suppose -61 = -12*o + 35. Solve -j + 5*d = -0*j + o, 5*j - d = a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**(-1))\/b)**(19\/3)*b*b**(-1\/12)*b\/b**(-3\/10))**49 assuming b is positive.\nAnswer: b**(6517\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**10\/10080 + r**9\/2520 - r**7\/420 - r**6\/240 + r**4\/4 + 7*r**2. Let y(w) be the second derivative of m(w). Solve y(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 32 = -o, 4*o - 109 = -0*o - 3*q. Let v = 37 - o. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiikkmkkmkikimmkrkr. What is prob of picking 2 i and 1 m?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524479.2kg to nanograms.\nAnswer: 524479200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 106990.4 nanometers in centimeters?\nAnswer: 0.01069904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -22. Let d(c) = 3*c**3 - 2*c**2 + 1. Let h be d(1). Suppose r + 0*a - a = h, r + 5*a + 22 = 0. Put -4, z, r in descending order.\nAnswer: z, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -2425*j**4\/12 + 133*j**3\/6 - 3235*j**2. What is the first derivative of w(r) wrt r?\nAnswer: -4850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 303 - 6355342?\nAnswer: -6355036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 5*a - 3*a)*(2*a - 64 - 153 - 39*a + 2*a**2 + 86) to the form b*a**2 + f*a + x + m*a**3 and give b.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2526884 is divided by 104.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 19494864*i - 19494864*i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**2 + 3*v**2 + 0*v**2 + (-13 + 13 + 6*v)*(3*v + v - 6*v) - 181*v**2 - 52*v**2 - 8 + 19 - 7 - 8.\nAnswer: -246*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 22, -289 in decreasing order.\nAnswer: 22, -4, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -7. Let r(o) = -j + 2*o + 4. Let n(w) = 2*w + 2 - 2. Give n(r(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 26. Let l(r) = -r**2 - 6*r - 8. Let s be l(z). Let v be (9\/(-24))\/(s\/(-5)). Which is the third smallest value? (a) v (b) 3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**0\/y*y*y)))**(-30))**(22\/7) assuming y is positive.\nAnswer: y**(-1320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58 - -15) + (-18 - (1 + 7)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 16 = 3*u. Let k be 1 - ((-18)\/u - 1). Which is the second biggest value? (a) k (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9505 + 0.0495. What is the closest to -7 in -6, -2, 3, q?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9271898.\nAnswer: 2, 23, 353, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -279 and 187.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22229351 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(15) + (sqrt(15) - (sqrt(15) - (sqrt(60) - sqrt(15)))))*1)\/(-1*sqrt(147)))**2 + 5.\nAnswer: 265\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + 0 + -5 + 3 - 3) + 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -3, 23?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15046 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 the third root of 993105880 to the nearest integer?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-6)*v**(2\/19)\/v*v)\/(v**(7\/2)\/(v\/((v*v**5)\/v*v))) assuming v is positive.\nAnswer: v**(-53\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + 2 + -4 - 37.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 12*c + 27. Calculate w(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 9*f - 9. Let w be i(7). Suppose -u + 4*r = -4*u + w, 0 = 4*u + r - 11. Let j = u - -1. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/10*(-190)\/380.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 3 = 20*h. Put 2, h, 0, -5 in decreasing order.\nAnswer: 2, 0, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - 18*m + 54. Determine t(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 2 + 0 - 3 + (-17*x + 17*x - 2*x**2)*(-1 + 6 + 4) + 7*x**2 + 0*x**2 - 4*x**2.\nAnswer: -17*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-15))\/(357\/765)*(-87 + -1).\nAnswer: -88\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -5 - 9\/(-3)*4. Let v be (18\/s)\/(1\/2). Suppose 0 = -3*d + 3*x + 18, -4*x + 2*x - 16 = -4*d. Solve 2*p + v = -d*f, 9 = -4*f - 5*p - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1657, 0.4, 23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.972986 less than -0.2?\nAnswer: 19.772986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1 (b) -4 (c) 7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) 3\/8 (c) 8 (d) 1 (e) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 s when three letters picked without replacement from {o: 1, s: 5, t: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 10*o**2 - 12*o - 2. Calculate c(-8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 42 = -6*u, 48*u + 181*i = 47*u + 187*i + 25 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 5*j**2 + 156380*j + 469095 = 0?\nAnswer: -31273, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*a**2*l**3 + a**2*l**2 - 249*a**2 - 410*a*l**3 + 13*a*l wrt a.\nAnswer: -32*l**3 + 2*l**2 - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, -44, -82, -136, -212?\n\"Answer: -j**3 + j**2 - 24*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0041041 rounded to five decimal places?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -27, -5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+436339884.83\nAnswer: 436339884.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z + 1 - 82*z**3 + 2*z**2 - z**4 - 4*z + 68*z**3 in the form k*z**4 + u*z**3 + y*z + g + f*z**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*r = 5*d - 113*r - 16, r - 3 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 - 93.01. Round d to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12 - -11)\/(1\/(-5)). Let p be 4\/(-6) - 137\/(-3). Calculate the greatest common divisor of r and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -374 divided by 17?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 11 (b) -1 (c) 2\/13 (d) -1\/7 (e) -5\/171\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**5\/5 - 132*x**4\/5 - 606*x**3\/5 - 828*x**2\/5 - 351*x\/5 = 0. What is x?\nAnswer: -39, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 52866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 8 + 197470583*d - 197470586*d + 17.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**25\/(y\/((((y**(1\/4)*y*y*y)\/y)\/y)\/y)))\/((y\/((y*y**(-37))\/y))\/y**(13\/3)) assuming y is positive.\nAnswer: y**(-113\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/5 + 6234*t\/5 - 1568232\/5.\nAnswer: -2*(t - 2841)*(t - 276)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 38, 1 in increasing order.\nAnswer: -4, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q + 6. Let c(f) = -4*f + 5. Let i(g) = 5*c(g) - 4*v(g). Determine i(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -6. Let q = -7 + m. Let o(w) = 4*w**2 + 3*w - 4. Let h(r) = 7*r**2 + 6*r - 8. Let i(d) = -3*h(d) + 5*o(d). Calculate i(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8788855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 l, 1 n, and 1 z when four letters picked without replacement from {n: 1, t: 1, z: 1, a: 1, l: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-2 + 0)) + 23392\/4352?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 + 2. Let o(a) = -3. Let j(q) = q - 15. Let c(r) = 3*j(r) - 15*o(r). Determine c(i(n)).\nAnswer: 9*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 + 3*b**3 - 2*b**3)*(b + 2 - 2)*(28 - 24 + 33).\nAnswer: -74*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {v: 3, z: 1, a: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23\/6861 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 - 10*f**3 - 5*f**2 + 10*f.\nAnswer: 5*f*(f - 2)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6909.99997041 - -6910. Round s to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 24*z**2 + 33*z - 2. Let g be t(23). Is (g\/2 - -3) + -5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2\/21)\/u*u)\/u)\/u)**(-2\/89) assuming u is positive.\nAnswer: u**(88\/1869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -44*j**3 - 6*j**2 - 21*j - 42. Let u(o) = 89*o**3 + 13*o**2 + 43*o + 91. Give 6*u(g) + 13*w(g).\nAnswer: -38*g**3 - 15*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3290, -3, 131716.\nAnswer: -3, 3290, 131716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -2*f + 91, 0 = o + 5*f + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -11907*v - 126. Let r(b) = 2381*b + 24. Calculate 21*r(a) + 4*z(a).\nAnswer: 2373*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1829, -2, 0.5, -12 in descending order.\nAnswer: 0.5, -2, -12, -1829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*a, o = 3*a - a. Put 0.5, o, -2\/29, 2 in descending order.\nAnswer: 2, 0.5, o, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**3 - 4*q**2 - 2*q + 1. Let f be r(-2). Let x = f - 3. Suppose u - x = -4*u. Is 2 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.95*-18\nAnswer: -53.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**0*o\/((o\/(o\/o**(-5)))\/o)*(o*o**9*o)\/(o*o**(-10)) assuming o is positive.\nAnswer: o**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3101 is divided by 3039.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 12 = 2*h, 4*p + 45 = 4*h + p. Solve 0 = 5*i - h*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23165, 9\/13, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23103033130 (base 4) to base 7.\nAnswer: -34115503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 2:21 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - 5*sqrt(272)) + (2*sqrt(136))\/sqrt(8))*-5 + 0.\nAnswer: 85*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/4 + 21315*v**2\/2.\nAnswer: -3*v**2*(v - 14210)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 3*g**5\/5 + 3*g**4\/2 - 3*g**2 - 3*g + 7. Factor h(k).\nAnswer: 3*(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1345101 (base 6) to base 7.\nAnswer: 435256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*o. Suppose o*x = 2*x - 2. Put 2\/9, x, -1 in increasing order.\nAnswer: -1, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16505*p**2 - 17275*p**2 - p**3 + 202*p**4 + 0*p**3 wrt p.\nAnswer: 4848*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**4 + 929*d**2 + 3657?\nAnswer: -8*d**3 + 1858*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69 by -27.\nAnswer: 23\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 335.2 + -5.17. Round h to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344609 is divided by 3105?\nAnswer: 3059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 4) in base 11?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 9:45 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 112*c - 781. Give g(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101 + -29. Suppose -4*w + 129 = 3*f, -2*w + 20 = -4*f - b. Suppose -4*r = -13 - 27. Calculate the remainder when w is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 667 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1295882\/12684 - 315\/3?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 - -5192?\nAnswer: 5206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-184386)\/(-9) + -3)\/(261\/783)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -32*f + 25. Let n be c(10). Let w be 3 - (n\/(-20))\/(-1). Let d = 33 - w. Find the common denominator of d and 31\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**4\/8 + v**3\/6 + v**2 - 35*v. Calculate i(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.8392586 months to centuries.\nAnswer: 0.0015327155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -4*x + 181. Let y = -92 + x. Let l = 65 + y. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**11\/x)**3 assuming x is positive.\nAnswer: x**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -60*h + 8. Let l be u(10). Let o = -417120\/7 + 58992. Let v = l - o. What is the common denominator of v and -20\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 270\/(-189)*7\/(-2). Let w(v) = -v**2 + 7*v - 3. Let r be w(6). Put -2, h, r, -4 in ascending order.\nAnswer: -4, -2, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, g: 1, j: 2, m: 1, k: 1, i: 2}. What is prob of sequence iqmk?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a week?\nAnswer: 756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**5\/10 - n**4\/3 + 13*n**3\/6 - 5*n**2\/2 + 9*n - 1. What is the units digit of h(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1177, -2350, -3523, -4696, -5869?\n\"Answer: -1173*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.96, 2\/5, -4\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.66048nm to kilometers.\nAnswer: 0.00000000001366048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 3 + sqrt(147)*1 - (3*(-2*sqrt(147) - sqrt(147)) - (sqrt(147) + (-1 + sqrt(147))*1)))*4)**2*4.\nAnswer: -32256*sqrt(3) + 1355328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3.06. Let h = l + 0.46. Let v = -879.4 - -879. What is the third smallest value in -3, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/4)\/(13\/(-26))*111)\/(82 - 85).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 40425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50382 - 49615.39. Let m = 762 - o. Round m to one decimal place.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 173*j**2 + 16. Let k(n) = -346*n**2 - 27. Calculate -3*k(c) - 5*o(c).\nAnswer: 173*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5352*o + 5785. Is s(-25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.8 + -20. Which is the smallest value? (a) j (b) -4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 206b + -13227?\nAnswer: -11178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i - i**2 - 2*i**2 + 0*i**3 - i**3. Let x be h(-4). Let g(z) = z**3 + z**2 + 8. Does 4 divide g(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2974, -23441, -78890, -186817, -364718, -630089, -1000426?\n\"Answer: -2916*i**3 + 5*i**2 - 70*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbqdb. What is prob of sequence bd?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*a - 2. Let m = -7 - a. Let x(n) = -7*n**3 - 4*n**2 + 4*n + 5. Let o(s) = -2*s - 2*s**2 - 2 + s**3 + 2*s**3 + 4*s**2. Give m*o(p) - 2*x(p).\nAnswer: -p**3 - 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -3. Let m = 68.44 - 68.44. What is the nearest to -1 in m, a, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 6. Let j = r - -7. Is 1\/2 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116493244468482 + -3?\nAnswer: -116493244468485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 + -9 + -108 + 124.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k. Let g(v) be the second derivative of 25*v**3\/3 + 6*v + 37. Calculate 2*g(f) - 70*z(f).\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/8 - 582\/679)*16\/(-4254). Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85290, 85514, 85738?\nAnswer: 85962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10133 + -10132.87676. What is a rounded to three dps?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.488 times -0.4?\nAnswer: 6.1952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1000 + 2?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2202093 equal to 2202085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -342?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 15 = -3. Suppose -4*n + 50 = 5*b, -8*b + 3*n = -5*b - f. Solve 4*c - 2*p - 8 = -b*p, -3*p = c - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/39 + (-8)\/(-52)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 41\/(82\/4)*32\/(-2)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3056*q = 916*q - 1279*q - 2931*q - 666750 for q.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {l: 4, t: 10, j: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4)*q\/((q\/q**(-7))\/q*q))\/((q**(-1)\/q)\/(q**(2\/25)*q)) assuming q is positive.\nAnswer: q**(-417\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 487911+-4\nAnswer: 487907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**2\/4 + 48715*y\/2 - 474630245\/4 = 0. What is y?\nAnswer: 9743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -42*z + 47*z. Let c = 14 - 9. Put 2, z, c in increasing order.\nAnswer: z, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (16 + -10 + -2 + 5)) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/60 and -63\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 1\/3*s**3 + 2*s + 0*s**2 + 0*s**4 + 0 + 1\/20*s**5. Let q(i) = -i**2. Calculate 2*q(m) - w(m).\nAnswer: -m**3 - 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -19973 plus -87?\nAnswer: -20060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -200533444 (base 6) in base 16?\nAnswer: -33ec44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17755427 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: Calculate the greatest common factor of 18 and 22644.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**2 - 7314*l - 6490260 = 0.\nAnswer: -2142, -1515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20202112211 - 1000?\nAnswer: 20202111211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -2613 - 4133. Let t = h + 505957\/75. Let u = -379\/225 - t. Is -1 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t**2 + 6*t - 6*t)*(-461*t**2 - 1631*t**2 + 376*t**2) + (-t**2 - 2*t**3 + t**2)*(-2*t + 3 - 3) as c + g*t**2 + d*t + q*t**4 + a*t**3 and give q.\nAnswer: -6860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + 3 + -3 - (789 - 802 - (-16 - 0))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 852637.7l in millilitres?\nAnswer: 852637700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and 0.23947761.\nAnswer: 0.0143686566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-5 - 0) + 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-2)*2580\/(-5418)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/270)\/((-413)\/(-295))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 169 + -96. Let p = -77 + j. Let z = -14\/5 + 3. What is the nearest to z in -2, p, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49631411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 8 = -i, -2*s + 8 = 2*i - 4*s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 34\/(-1) - 128616\/(-3588). Factor 0 + d*a + 14\/13*a**3 + 32\/13*a**2 + 2\/13*a**4.\nAnswer: 2*a*(a + 2)**2*(a + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -16 - 4*z + z**3 - 7*z + 5 - 6*z - 5*z**2. Let x(r) = r**3 + r**2 + r + 1. Let m(s) = q(s) + 2*x(s). Factor m(t).\nAnswer: 3*(t - 3)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*l + 42 = -417*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -37. Solve -4*l - u = 3, 14 = 4*o + 2*l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110020 + -100121001001?\nAnswer: -100200111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 68359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11891*s**2 - 11712*s**2 - 22179*s**2 to t + c*s + i*s**2 and give i.\nAnswer: -22000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*f - 397 = 0, -r - 5*f + 201 = -10*f. Does 28 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 800 and 3600?\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)\/(1*sqrt(288)))\/(-2*-2*sqrt(200)) + -5.\nAnswer: -5 + sqrt(17)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45)\/(-6)*2\/(-1). Which is bigger: k or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, f: 7}. What is prob of picking 2 e?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -479 - -672. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 4*v**2 + 9*v**2 + 4*v - 10*v.\nAnswer: 17*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:13 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 = 2*z. Suppose z*m - 29 = 31. Let k(p) = p + 59. Calculate the remainder when k(-15) is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, o: 11}. What is prob of sequence od?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/1977 and -13\/3?\nAnswer: 1977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-34)\/46)*297\/(-891)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11320002 (base 4) to base 3\nAnswer: -1020000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 5*j - 5*j + 0*j. Let p(v) = 23*v**2. Determine h(p(l)).\nAnswer: -23*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 20537442.4 to the nearest 1000.\nAnswer: 20537000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3505.\nAnswer: 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 + 1.94. Suppose 2*h = 2*w + 6, -2*h - 11 = 5*w - 5*h. Sort z, -4, w in decreasing order.\nAnswer: z, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29.5991 and 1.23.\nAnswer: -36.406893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-528)\/240 + 0 + 4.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 1. Let l be b(0). Let v be (-5)\/(-7) - (-8)\/28. Is v != l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11969040 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 87 in increasing order.\nAnswer: -5, -2, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -79*m**2*r - m**2 + 89*m*r - 117*m - 4 wrt r.\nAnswer: -79*m**2 + 89*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*o + 187*o - 128 = 0. Calculate the greatest common factor of o and 992.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -393.88 - -394. Suppose 0 = -4*v + 8*v + s - 25, 40 = 4*v + 4*s. What is the third biggest value in v, c, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 484 and 75018427.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 17*m - 1039. Calculate v(-24).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1006 - 1005.9. Which is the second biggest value? (a) -4 (b) -3\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20280 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07131 * 4.\nAnswer: 0.28524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103 + 110. Suppose 0 = -r*w + 891 + 992. What are the prime factors of w?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21286422 a multiple of 693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w - 5*x + 20, 0 = -3*w - 5*x + 20. Let n(u) = -u + 7. Let b be n(-8). Solve w - b = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-2)*9\/((-1638)\/65)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1054*r - 1292*r - 1102*r - 1417*r + 431*r to the form q + i*r and give i.\nAnswer: -4434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37 + 3358*i**2 - 3355*i**2 - 36 + 37*i + (3*i**2 - 6*i**2 + i**2)*(2 - 5 + 4).\nAnswer: i**2 + 37*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.7 - 17. Let m = w + -3.7. Which is the smallest value? (a) -2\/9 (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21*(-11)\/66 + ((-1995)\/6)\/5\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3030 (base 4) in base 13?\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -73. Suppose 17*f - 535 = 12*f. Calculate the remainder when f is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g + 14*g**2 + 2 + 8*g**3 + 11*g - 9*g**2 - 2*g**3 - 2*g. What is o(-2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/85 and 897\/30 + 12\/20?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -479891, -959792, -1439693?\n\"Answer: -479901*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 39954111 and -5?\nAnswer: 39954116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -122, -502, -1136, -2024, -3166, -4562, -6212?\n\"Answer: -127*q**2 + q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-3\/5))\/h**(-11)*(h*h**(-1\/5))\/h*h\/h**3)**31 assuming h is positive.\nAnswer: h**(1426\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/((-4)\/30). Suppose -247*t - 6 = -249*t. What is the first derivative of t*x**2 - l*x**2 + 3 + 0 - 6 wrt x?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201 - -303000?\nAnswer: 303201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (-3 + 8) - 1. Let v(h) = 9*h + 13. Let b be v(t). Put 1, 3, b in descending order.\nAnswer: 3, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, 0.3, -150\/13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j\/(j\/j**9)*j*j)\/j*j**(-1\/3)*j)**31)**(8\/5) assuming j is positive.\nAnswer: j**(9424\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 1)*(2*g + 4 - 4) - 5*g + 4*g + 2*g + (1 - 10 - 18)*(3 + 2*g - 3) - 737 + 737 - 20*g to the form j*g + p and give j.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7972*s - 2295936. What is v(288)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/21 + 16\/7. Suppose 5*f + 4*a = 8, a + 15 = f + r*f. Suppose 5*q = -f*n + 56, 5*q + 56 = 4*n + 4*q. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 7*g + 35 = 0. Suppose -163 = -g*c - 9. What is the greatest common factor of 110 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 29010.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzgv when four letters picked without replacement from hfghzgev.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 6 - 3. Let y = r + 0. What are the prime factors of 3\/9*y*11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -283, -585, -997, -1513?\nAnswer: -2127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12515569427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/1037?\nAnswer: 2\/1037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o + 8*o + 0*o + 16*o in the form i + j*o and give j.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 16*s - 20. Let t be n(-11). Let g(w) = t - 5 - 12 + w. Let q be g(-3). Calculate the highest common factor of q and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*c + 74*c = 150*c - 624 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 1. Let j be (48\/h)\/4 + -2. Let w be j\/6 + 20\/(-24). Which is the second biggest value? (a) w (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**4 - 7612*g**3*u**3 - 21*g*u**3 + 2*g*u + 38*g - 2 wrt g.\nAnswer: 12*g**2 - 45672*g*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 11:01 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-9)*(-196)\/784.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + -3 - 6) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 4:33 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 55. Suppose 0*o + 2*o + 36 = 0. Let j = n - o. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 44202, 176833, 397906, 707421?\n\"Answer: 44221*o**2 - 32*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4002?\nAnswer: 2, 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -621110 divided by -190\nAnswer: 3269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (283\/1981)\/((-40)\/112)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6*a + 75. Let r = 880 + -890. Let t = r - a. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)*i**(-2\/57))\/(i**(21\/5)\/i*i*(i*i**(-8)\/i)\/i) assuming i is positive.\nAnswer: i**(8936\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 14, 136\/29, -1\/2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/21)*((n\/n**(-3\/4))\/n)\/n)\/(((n*n**(2\/9))\/n)\/n*n\/(n\/(n\/n**7)*n)))**(-30) assuming n is positive.\nAnswer: n**(-9605\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d - d + 0*d + 5*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aadaada. What is prob of picking 1 a and 2 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*b, -5*b - t = -b - 16. Suppose 2 = g - b*g. Let k(n) = n**2 + 3*n + 2. Let x be k(g). Solve -4*y - 36 = -4*r, 5*y + 3*r + x = -5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -251\/12 - -265\/24. Calculate the common denominator of o and -39\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (872\/10682)\/((15\/(-21))\/(-5)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/62674356 and -75\/1012?\nAnswer: 689417916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8353, -8341, -8315, -8269, -8197, -8093?\nAnswer: -7951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 - -234. Suppose 2*v - m = -2*v. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138006 is divided by 45950?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s + 15 - 15)*(2 - 2*s + 4*s - 5*s).\nAnswer: 24*s**2 - 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -19622.186*-2\nAnswer: 39244.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13105 - -13106. Is n at least as big as -4\/751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.198? (a) 0 (b) 32 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a, q + 12 = -a + 45. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 8, p: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51.012 - 55. Let c = -0.328 - z. Round c to one dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15, -8, 19, 72, 157, 280?\n\"Answer: x**3 + 4*x**2 - 12*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160401 and 59817.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, -5, 5 in increasing order.\nAnswer: -5, 5, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 - 78*p. Let i(k) = 2*k**2 - 39*k. Let t(f) = 3*d(f) - 5*i(f). Let g(z) = -3*z. Determine t(g(m)).\nAnswer: -9*m**2 + 117*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-2605)\/(-35)) + (-9)\/(-21). Let n = 295\/4 + g. Find r such that 0*r + n*r**2 - 1\/4*r**3 + 0 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2 + t. Suppose 2*b + 2*b = -32. Let o = -6 - b. Suppose 0 = u + o - 3. Give m(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -22032223230?\nAnswer: 22032223220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35 + 9\/12 + (-5)\/(-20). Calculate the highest common divisor of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = -4, w = -w - z. Let u(m) = 35*m**2 + 1. Let p be u(-1). Let g(d) = -2*d**w + p*d**2 - 4*d**2. Let t(l) = -2*l**2. Give t(g(k)).\nAnswer: -1800*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x + 3. Let b(o) = 2*o - 870. What is -b(y) - 2*m(y)?\nAnswer: 2*y + 864","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111100 + -11?\nAnswer: -111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002799 rounded to 5 dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 65 = -l. Let h = 45 + -18. Calculate the highest common divisor of l and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -29 (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 - 6*q**2 + 27*q**2 - 12*q**2. Let x(b) = 2*b - 40. Calculate x(j(d)).\nAnswer: 14*d**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9628 a factor of 1030196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11399978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -181978090*p**2 + 86871792*p?\nAnswer: -363956180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -21*r + 169. Let a be x(7). Solve -a = 3*c - 4*q, q = 4*q - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 11. Calculate the smallest common multiple of 68\/7 + o\/(-7) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 9*q + 12 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12066 or -12064?\nAnswer: -12064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**3 - q - 4. Let y(a) = 7*a**3 - 3*a - 9. Give -9*o(x) + 4*y(x).\nAnswer: x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-1 - 3 - (-936 + 958)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -902*b**2 + 59 - 83 + 22 + 1046*b**2 - 3635*b**2 as c + z*b**2 + o*b and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1257196377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, o: 2, c: 2, k: 5, d: 2}. What is prob of sequence dock?\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 12*u**3 + u**2 + u + 1. Let b(c) = -6*c + 2. Let x be b(0). Suppose -2*s - x*m + 6 = 0, -2*s + 3*m - 1 = 13. Determine w(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 w, and 2 e when four letters picked without replacement from zxzzzgzzggwxggxezww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 5367069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1 + (-182)\/(-98)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 304 + -20150891.8.\nAnswer: -20150587.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 11 + 101)*(-4*o**3 + o**4 + 4*o**3) - 3*o**4 - 6*o**4 + o**4 to the form s*o**3 + y + t*o**4 + v*o + r*o**2 and give t.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 276454 - 4?\nAnswer: 276450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 189 - 36. Suppose -117 = -h + i. Suppose 18*n = 15*n + h. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -2\/11, 5, -4, 0.6, 3695?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453192624.\nAnswer: 2, 3, 1049057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a millennium in centuries?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*p - 30 = 0, 3*o - 4*p = -3 + 9. Let h be (-1 - 9)*o*120. What is h rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b = 2*x + 6, -9 = -3*b - 5*x. Let s be -2 - b\/((-3)\/(-7)). Let l(j) = -j + 1. List the prime factors of l(s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3\/8 + 21*c**2\/8 + 19*c\/8 + 3\/8.\nAnswer: (c + 1)*(c + 3)*(5*c + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 10:33 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18741 + -18723. Calculate the remainder when 21 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 2003233?\nAnswer: -2003222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 9:48 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {b: 1, n: 4, j: 1, m: 1, r: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (23166\/(-360))\/(-39)*4*5*1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k - 2. Let b be (2\/5)\/((7\/45)\/(1659\/711)). Let c(s) = s. Determine b*c(d) + 2*q(d).\nAnswer: 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + -59)*1\/(-1). Let v = o + 494. Does 28 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -10220010?\nAnswer: 10220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.31 - -0.01. Let w = 9.3 + a. Let f = -0.07 + -0.13. Is f at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 8*d**2 - 7*d - 2. Let p be o(6). Suppose -i = -v - p, -81 - 44 = -5*i + 2*v. What is the first derivative of 1 + 14*z**3 - i*z**3 - 5 wrt z?\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*q - 15, -n - 6 = -4*q - 3*n. Suppose 5*m - 977 - 2588 = c, 3*m - 4*c - 2156 = q. What are the prime factors of m?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-20)*(-2280)\/7. Let r = o + -130. Let g be (12\/(-18))\/((-1)\/3). Sort r, -0.5, g in increasing order.\nAnswer: -0.5, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -419\/8310 - 9\/554. Find the common denominator of b and 41\/2130.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -817869, -1635780, -2453691, -3271602, -4089513, -4907424?\n\"Answer: -817911*o + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10615 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeet. What is prob of sequence et?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.134 - -0.085. Let a = n + -3.951. What is the smallest value in -4\/3, a, 2, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2992536695 to the power of 1\/2, to the nearest integer?\nAnswer: 54704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.8 + 0.53.\nAnswer: 21.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-88) - 4\/(-22). Which is the closest to -1? (a) l (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/2 - (-54)\/(-18). What is the nearest to -1\/2 in h, 0.07, 2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 5:57 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3758 (base 14) to base 5\nAnswer: 302212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-11377)\/124)\/(1\/20). Let s = -1151 - i. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7958143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-40) + 7*(-38)\/665\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5}. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1021 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -442.9999788 + 443. Round m to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -3, 1\/39, 51?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u**2 - u + 7. Let s(c) = -c**2 + 1. Calculate l(b) - 6*s(b).\nAnswer: b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 536*o + 11809. Calculate f(-22).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3930, -3931, -3932, -3933, -3934, -3935?\n\"Answer: -d - 3929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 33*p**2 - 91*p + 1110. What is the hundreds digit of b(34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*m + 5 = 0, 5*y - m + 25 - 5 = 0. Sort 2\/3, -1\/5, 1, y in increasing order.\nAnswer: y, -1\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -151 + 417. Suppose 4*i = -3*r + 806, -r + 2*r - g = -4*i. Suppose 5*s + 8*m - 440 = 3*m, 3*s + 5*m = r. What is the greatest common factor of 34 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 = -l, 0*t + 3*t - 36 = -3*l. Let b = l - 3. Calculate the least common multiple of 28 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0.2. Let q = 0 + 6. Suppose -3*m + q = -4*o, -m = -2*m - 4*o + 2. Which is greater: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -169\/7 - -24. What is the closest to 0.1 in 0.5, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32.0168 + 0.0168. What is the smallest value in a, 3, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 36305307, 36305295, 36305283, 36305271, 36305259?\n\"Answer: -12*l + 36305319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -0.108 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6051, -5775, -5029, -3579, -1191, 2369, 7335?\nAnswer: 13941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j - 3*j + j)*(-2 + 3 + 0) + (0 + 2*j + 0)*((-6 - 1 + 2)*(-2 + 3 + 1) - 5 + 3 - 5) to the form d*j + w and give d.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -556 + 562. Suppose 4*b - 12 = 3*b. Let v = b - 4. Solve 12 = -3*x, -3*k + n*x = v*x + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6*y**2 - 2. Let v be w(-2). Let u = v - -19. Let o = u - -106. What is the greatest common factor of 66 and o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 10*q - 5. Let d be a(-9). Suppose 3*p + p = -u - 12, 5*u + 4*p = d. Suppose -u*c - c + 275000 = 0. What is c rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -6, -1\/2, 8, -2 in ascending order.\nAnswer: -6, -2, -1\/2, 2\/9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924490?\nAnswer: 2, 5, 7, 47, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (48\/(-9))\/(2\/(-3)). Let k = -496 + 500. Solve 3*s = -2*n + u, k*n - 3 = s - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-14))\/(42\/(-16)). Let l = i - 6448\/735. Let x = -2861 - -2852. Which is bigger: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 + 305*f**2 + 13523*f + 25828.\nAnswer: (f + 2)*(f + 44)*(f + 1174)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*n = 119*n + 137*n - 8940 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(546\/1155))\/88.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6f32f (base 16) to base 4\nAnswer: -1233030233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/48*-12*44. Suppose 2*o - v = -4*y - 0*o, -5*y = 5*o - 85. Solve 0 = 2*n + 6*n + y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.042 (b) -3\/7 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 605*r + 171*r - 71*r + 501*r + r + r + 0*r + (-4 + 1 + 2)*(0*r - 4*r + 3*r) + 3 - 3*r - 3 + (0 - 3 + 4)*(-4*r - 1 + 1) to h*r + d and give h.\nAnswer: 1202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6876*t**3 - 1125 + 2254 - 1129 + 6877*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.24 + 0.22. Let v = k + 0.02. Which is the second smallest value? (a) -11 (b) v (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -39*z + 375. Calculate the least common multiple of 10 and x(9).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005759 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 w when two letters picked without replacement from xdnttwxwwdtvvt.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -39. Let c be (s\/10)\/(8\/(-240)). Suppose 0 = -3*k - 3*v + c, -2*k + 5*v + 19 = 2. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2473376032 to the nearest integer?\nAnswer: 49733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 643, -7, -10, 22, -4, -2 in decreasing order.\nAnswer: 643, 22, 4, -2, -4, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f + 7. Let y(d) = 5*d + 6. Let g(w) = -6*w - 7. Let s(p) = f*y(p) + 6*g(p). Let z(v) = -56*v**2. Give s(z(r)).\nAnswer: 56*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-3)*(-124)\/(-31)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + 6*d**2 + d**2 + (2*d + 3 - 3)*(-d + 4 - 4) - d**2 + 1 - 1.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4 + 3 - 5*q**3 - 19*q**2 + 28*q**2. Let z(g) = 4*g**3 - 8*g**2 + 1. Calculate -6*c(f) - 7*z(f).\nAnswer: 2*f**3 + 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.6 (b) -4\/3 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*z + 3*t, -101*t + 5 = 5*z - 99*t. Which is the second smallest value? (a) -0.1 (b) z (c) 2\/7 (d) -2\/113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 35 + 33 - 137 - 47*m**2 + 36 + 28. Let o(i) = -4*i. Determine h(o(n)).\nAnswer: -752*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (3 + -1 + -4). Suppose u*n - 193 = 123. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 4\/315*o**7 - 1\/45*o**5 + 5\/36*o**4 - 1\/45*o**6 - 2\/9*o**3 - 31*o**2 - 1\/504*o**8 + 0*o + 0. Let w(c) = 0. Calculate c.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - t. Let k(z) = -z + 4. Let b = -3 - -4. Let i(f) = b*k(f) + 4*c(f). Let q(x) = x**2 + x - 1. Determine -i(o) - 3*q(o).\nAnswer: o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 13*b**4\/24 + 6*b**2. Let a(f) = f**2. Give v(a(y)).\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205517142 is divided by 289?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27914995963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 7*f - 3. Let h be l(-5). Let g(v) = -3 + 8*v - h*v + 4. Let j be g(-6). Which is the third biggest value? (a) 0.4 (b) j (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1854 and 7644?\nAnswer: 2361996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23467 + 63380. Let a = v - 5816. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-9) - 1 - (-28 + 28)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from quu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*u - 172, -2*g + 6*g = -2*u + 200. Let p = g - 47. Suppose 0 = -0*k - p*k + 80. Solve -5*a + 20 = 0, 4*w + 0*w + a - k = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -155, -634, -1109, -1580?\n\"Answer: 2*w**2 - 485*w + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(5 - 2 + 6)*(0 + 0 + 2)*(-32*f + 150*f + 295*f).\nAnswer: -7434*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/1980 and -123\/1540?\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -24 - 16. Suppose w*u + 10 = c + 5*u, 4 = -4*c - 2*u. Sort -0.05, c, -0.1, -2\/23.\nAnswer: -0.1, -2\/23, -0.05, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19002803209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3983 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a millennium?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7603009, -30412022, -68427049, -121648096, -190075169?\nAnswer: -273708274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -28, -2, 232, -106.\nAnswer: -106, -28, -4, -2, 1, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1739263, -13, -0.06?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from ggoagoaggaogoaggg?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 11 - 1205*l - 20 + 330*l + 19 to p*l + z and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 882 = 5*l - 10*v, -3*v - 718 = 4*l. Let h = l - -181. Let p(j) = -2*j**2 + 0 + 0. Let y(z) = 2*z**2. What is h*y(q) + 4*p(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 21033122022?\nAnswer: -21033122032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 45227725 divided by -5\nAnswer: -9045545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 653244203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -12, 0.7, -447, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/56000 and 133\/3000.\nAnswer: 168000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 13 + 35 = 0. Let u be 1\/(-4) - (-12)\/j. Let l(k) = -17*k - 1. Let q be l(u). Solve q + 0 = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 17*z - 16*z. Let w = -1.2 + -10.8. Let h = 7 + w. Which is the closest to 0? (a) h (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**3 + 19*y**2 - 4*y - 12. Give i(4).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + a + 29, -25 = u - 0*u + 5*a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.281809 to two decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 - -72. What is the third derivative of -98 - 25*g**3 + 30*g**w + 98 wrt g?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v. Let j be f(4). Suppose -87 = 34*s + 49. Is (-2609)\/s + 126\/j + 6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 9 - 4*a + 4*a + a**2 - 9*a. What is the remainder when h(9) is divided by (6\/(-9))\/(2\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*t**4 - 23*t**3 + 22*t**5 - 10*t**5 - 9*t**3 - 8*t**5 - 2*t**4.\nAnswer: 4*t**3*(t - 4)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1690.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.42 - 0.02. Suppose 2*v - 11 = -5*d, -5*v + 14 = 3*d - 4. Put 5, j, v in ascending order.\nAnswer: j, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 807*x - 48847. What is m(-329)?\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (10 - 16 - -7 - (-2 - -8))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.205 + 3.705. Which is the fifth biggest value? (a) -0.6 (b) -3\/8 (c) -1.76 (d) j (e) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368002614 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6459*v**3 + 4221*v**3 - 2199*v**3 - 3370*v**3 - 1259*v**3 + 12525 wrt v?\nAnswer: -27198*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(450) + -4 - sqrt(450))*2)**2 - (-1 + 4*sqrt(50)*-4)) + -3 + -1.\nAnswer: 61 + 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 33654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = 5*k + 44, 3*k - 53 = 4*r. Let f = r + 22. Solve 3*u - 2 = -3*o - 14, -2*o = f*u + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 36*s**2 + 75*s - 49. Let n be t(-38). Is (n + 3)*(-12)\/32*4 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -2, 0.31?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245286, 245131, 244882, 244545, 244126, 243631?\nAnswer: 243066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 6:44 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32331 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*h = -6*h - 2, 0 = 3*s + h - 3. Let r = 34 + -29. Put 4, -2, r, s in ascending order.\nAnswer: -2, s, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*m - 7, -2*m - 4*q = -8 - 8. Suppose 4 = t + t. Let h(i) = 6*i - 3*i + 0*i - t - 4*i. Give h(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119298*g**3*s**3 - 20*g**2*s**3 - 28*g*s**2 - s**2 wrt g.\nAnswer: 715788*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5186 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 83 - 30 = 3*s, -69 = 3*b - 5*s - 32 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -221471.39 * -0.15\nAnswer: 33220.7085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*g = -1697*g - 670*g - 5441 - 59473 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2\/9 + 274*w\/3 = 0. Calculate w.\nAnswer: -822, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 2, 25?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/18, -4\/7, 3\/5, 39.3 in increasing order.\nAnswer: -4\/7, 1\/18, 3\/5, 2, 39.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmi when three letters picked without replacement from {m: 1, k: 5, v: 4, y: 6, i: 4}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -a + 6*a. What is the units digit of (a - 8)\/(12\/(-4))*24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 71360209 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 88000\/(((-3 + 7)\/(-300))\/(-2)). Round n to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36806\/295 > 124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3904?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.7 + -7.7. Put -2\/17, p, -2\/31, 1 in increasing order.\nAnswer: p, -2\/17, -2\/31, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/10 and -149\/1074.\nAnswer: 5370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 42c2d?\nAnswer: 42c28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.2 - -15. Let h = j + -8.8. Let x = 13 + h. Which is the second smallest value? (a) 0.3 (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 546*j**2 - 8485*j - 169. What is m(16)?\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69033 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380522 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*m, -14*m + 12*m = 4. Let z(w) = -2*w - 3 - w**2 - 2*w + 2*w. Let n be z(-2). Which is smaller: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1326 and 181\/182790?\nAnswer: 40396590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*30\/(-640)*(-56)\/(-42).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 526?\nAnswer: 4208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2101635*k**4 - 15*k**3 + 16*k**2 - 159394*k + 9.\nAnswer: 50439240*k - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 n when four letters picked without replacement from fnffffffnfnf?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*5 + ((-292)\/12 - -10)\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 33.04?\nAnswer: 33.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/9 - 868*b**2\/9 + 1730*b\/9 - 96.\nAnswer: 2*(b - 432)*(b - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -175 and 282 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.25039 and -5.\nAnswer: 16.25195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1263880 is divided by 2412.\nAnswer: 2404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209510 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, v: 1, m: 3}. Give prob of picking 3 m.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 3:28 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4)*c*c**5)**16 assuming c is positive.\nAnswer: c**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -14*k + 938. Calculate l(72).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -189744, -379527, -569320, -759129, -948960, -1138819?\n\"Answer: -d**3 + d**2 - 189779*d + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-5*3*sqrt(1008) - (1*sqrt(1008)*6 + -3*(0 + sqrt(1008))))*-2)**2.\nAnswer: 1306368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 8*f - 7. Let c be i(-9). Suppose 4*p - 88 = -c*g, 3*g - 4*g = -5*p + 110. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and -149.45938?\nAnswer: 1494.5938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -686530779696343 - 0\nAnswer: -686530779696343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 45526 - 3717 = -j, o = 4*j - 196994. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**32)**(-13\/4) assuming j is positive.\nAnswer: j**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**4\/4 - 15*l**2 + 43. Let v(t) = -21*t + 11. Let j(i) = -7*i + 4. Let k(m) = 11*j(m) - 4*v(m). What is s(k(b))?\nAnswer: 42*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 + -13 - (-4 + 2)) + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*o - 9 = -3*g, 3*g + 27 = o. Let s(f) = f**2 - 13*f + 14. Let a be s(o). Solve -3*m + 5*k - 1 = 9, 4*m - a*k - 10 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 460108 and -20.\nAnswer: 460088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - (6 + -21)) + 18 - -53?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29 or 1?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 3*l - 486. Calculate the greatest common factor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2296458*h**2*l**3 - 1001571*h**2*l + 12*l**4 - 38*l wrt l?\nAnswer: -13778748*h**2*l + 144*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 202, 703, 1688, 3319?\nAnswer: 5758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 1794*d + 1798*d = 77, -3*d + 57 = 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 159002422522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2. Let i(q) = 27681827*q. What is i(z(c))?\nAnswer: -27681827*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**3 + 2*z - 3. Let f(h) = -h**3. Suppose 15*a + 119*a + 267 = -135. Give a*f(g) + v(g).\nAnswer: -g**3 + 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 i when three letters picked without replacement from phip.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 13*l = -149, 12*l + 54 = -5*t + 8*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4967*z + 98575. Calculate m(20).\nAnswer: -765","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-2 + 4) - -9. Suppose -4*v = -v + 2*p - o, -4*p + 8 = 0. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 351*k - 352*k + 14 = 0, -3*d = -k - 16 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 691 divide 380331381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*l - 126 + 1336. Let t = l - 108. What is the first derivative of 7*q - 7*q - 11 + 3*q**t - 20 wrt q?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 + 5*s**2 - 605 - 6 - s**2.\nAnswer: 4*s**2 - 482","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 + -80. Let y = -14 - f. Let z = 16.0208 - y. Round z to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 6*u**2 + 5*u - 4. Let r be n(5). Let k = r - -6. Which is bigger: 3 or k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.729681 days to hours.\nAnswer: 209.512344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -107 in 9, 2\/5, -17023?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 3*o**2 - 7*o - 6. Suppose g - 61 = -64. What is the remainder when 56 is divided by p(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -90 - -86. Suppose -4*u + 2*s = -3*s - 36, -4*s = 3*u + 4. Which is the second smallest value? (a) -6 (b) u (c) r (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -31*l**3 - 6*l**2 - 4*l - 4. Let z be 2\/(-7) + (-15)\/70*8. Is g(z) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9. Let v(y) = y + 9. Let n(i) = -3*o(i) - 2*v(i). Let f be n(3). Suppose -5*m = -4*a - 0*m - 4, -8 = -5*a + f*m. Solve 2*j - a*j + 4 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87\/1327 or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6014+0.2\nAnswer: -6013.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 4:07 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 105 - -119. What is the greatest common divisor of 16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 60*z**2 - 2*z + 1. Calculate the remainder when 115 - ((-156)\/13 - (-15 - -3))\/(-1) is divided by x(1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5b73232 + 2?\nAnswer: -5b73230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129491551?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1810117.7 and -1.\nAnswer: -1810118.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/19, -5\/2, 1.1, 1\/4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 19385883*r + 11936. Let a be m(8). Round a to the nearest one million.\nAnswer: 155000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1343 is divided by 198.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14408060 by 4.\nAnswer: -3602015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5 - 8118*o**4 + 6000770*o**3 - 11960970*o**2 - 6000772*o + 11969088 = 0 for o.\nAnswer: -1, 1, 2, 969, 3088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 630 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3839?\nAnswer: 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 191*b**2 - 98*b**2 - 91*b**2. Let u(m) be the second derivative of -3*m**4\/4 + 3*m. Calculate k(u(t)).\nAnswer: 162*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -684.22, -3012, 1\/6.\nAnswer: -3012, -684.22, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18717*a - 2474*a + 2402*a.\nAnswer: -18789*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*(sqrt(11) + (2*sqrt(11))**2) + 2.\nAnswer: 6*sqrt(11) + 266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 3.5. Let t = -0.1 + 0.1. Let m = t - a. What is the closest to -0.1 in m, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5388*k + 36. Let j(a) = 6*a. What is b(j(d))?\nAnswer: 32328*d + 36","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 73b - -1c38?\nAnswer: 2676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -21923 (base 12) to base 10\nAnswer: -44523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 17 - 2*b - 12 - 56 + 3*b**3 in the form o*b**3 + z + k*b + t*b**2 and give z.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and 309407.\nAnswer: -185644.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133887.\nAnswer: 3, 13, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*h + 674 = -634 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16808.16928 and 0.5?\nAnswer: 16807.66928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113863.\nAnswer: 31, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29050 is divided by 108?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**3 + 134*x**2 + 44*x + 38. Calculate n(45).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2116\/5, -2, 16 in decreasing order.\nAnswer: 16, -2, -2116\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.64434 centuries in months?\nAnswer: 27173.208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 4:55 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 365*u + 2856. Let n be c(8). Sort -7, 2\/9, n, 2.\nAnswer: -7, n, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*l. Suppose 3*u - 4*w = 56, -2*u + 0*u - 2*w + 14 = l. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u**2 - 34*u + 14. Let j be 160\/(-26) - (296\/104 + -3). Let l be w(j). Solve l*p + p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4348 not equal to 4400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + -1 - (18 + -29)) + 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -2*g**5\/15 + g**4\/4 - g**3\/2 - 5*g**2. Let c(u) = 23*u**2 - 17*u + 8. Suppose 4*y - 31 - 37 = 0. Give y*h(a) + 6*c(a).\nAnswer: 2*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(1\/((-2)\/(-4))). Calculate the smallest common multiple of (-82)\/(-6) - (-1)\/3 and g - (2*-6 - 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btttwiusbwutt. What is prob of picking 1 b, 2 t, and 1 i?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -226 - 85. Let a = j + 329. Calculate the highest common factor of 171 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**6\/120 - t**5\/60 - t**4\/8 + t**3\/3 + 3*t**2. Let d be g(2). Do 3\/8 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*h + 10. Let u be (-2)\/((0 - 1)\/1). Suppose u*a = 7*a - 15. Sort a, 1, h.\nAnswer: 1, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726*y + 3364 = -4906 - 15688 for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 12:45 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 2*o - 2, -8 = 3*w - 2*o - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-10) + (-192)\/(-40). Find the third derivative of -4*p**2 + 2*p**5 - 2*p**2 - p**m - 25*p**5 wrt p.\nAnswer: -1440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*w - 1200 = -1090 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, t: 4, u: 2, h: 4}. Give prob of sequence kt.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-26) - (-5566)\/143. Suppose -3*x - u = -3*w, -13 - 47 = -3*w - 4*x. What is the remainder when w is divided by 9\/4*(-24)\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (9 + -9)) + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 5:36 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -8. What is the remainder when 37 is divided by n\/90 + 236\/30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81796162 by 89.\nAnswer: -919058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 15*t + 877. Calculate u(-50).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/((-3)\/528) - 9\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22416 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -16 + 5 + 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 121, 328, 683, 1240, 2053, 3176, 4663, 6568?\n\"Answer: 9*i**3 + 20*i**2 + 84*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 14*w**2 - 266*w - 191. What is q(20)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9289408 divided by -16?\nAnswer: 580588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 5:48 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g + 3. Let l be k(-4). Suppose i = -0*v - 2*v + 186, -2*i = -4. Let w = v + l. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -4*x + 4, -238*d - 12 = -237*d - 4*x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 22*x + 109. Let p be m(15). Suppose -l - z + 7 = 0, -l + 3*z = 4*l + 5. Solve -2*t + p*t = -l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -14*r**3 - r. Let n be h(-1). Let w = n + -9. Suppose -p = 3*p - 44. Calculate the remainder when p is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 + 12*j + 12*j - 26*j - 6*j**2 as g*j**3 + n*j + r + s*j**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/3))**(2\/51)*a**5\/(a*a\/a**(1\/2))*(((a*a\/(a**(3\/5)\/a*a))\/a)\/(a\/(a**(4\/7)\/a)*a*a))\/((a*a**(2\/5))\/(((a**(3\/7)\/a)\/a)\/a*a)) assuming a is positive.\nAnswer: a**(-749\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3\/8*s**4 - 480020256*s + 1052676*s**2 - 1026*s**3 + 82083463776 = 0.\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 6*b**2 - 7*b - 7. Let d be l(-5). Let s be (-1 + -3)\/(2\/(-11)). Suppose o + 0*w = d*w + 21, 0 = -2*o + 2*w + s. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 - 2.8. Which is the third smallest value? (a) -0.3 (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6544530 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + g + 15 = 0, -4*f - 11 - 1 = 4*g. Let a be 96\/(-9)*(-9)\/f. Let l = 30 + a. What is the lowest common multiple of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -144, 0, -66, 2, -5 in decreasing order.\nAnswer: 2, 0, -2, -5, -66, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -48807.21 and 1.7?\nAnswer: 48808.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5095 - -5552. Solve -d = v - 457 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 638*m - 41520 = -588*m + 188*m for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8e4 (base 16) in base 5?\nAnswer: -33101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32662510516 plus -1.923?\nAnswer: -32662510517.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3) + (-21)\/9. Is ((-19)\/j)\/((-5)\/(-15)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -41*i - 1. Let k be p(0). What is the nearest to 3 in 3, k, -2\/15, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-6 - -4) - -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*w - 45. Let l(r) = r + 5. List the prime factors of l(w).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 6 = 3*f, 2*a + 26 = -a - 7*f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 s, and 2 n when four letters picked without replacement from sjnsssjjsjssnsnjnn?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 - 8*g**2 + 9*g - 1. Determine h(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2329294.7299962 + -2329258.73. Let r = 36 - i. What is r rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 143084539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c + 163 = -3*j + 130, -c = 3*j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 122, -2, 2 in decreasing order.\nAnswer: 122, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 19551.3885s?\nAnswer: 0.03232703125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**6\/120 - y**5\/6 + y**4\/24 - 3*y**3\/2 + y**2. Let c = 7 + 3. Let t be o(c). Put t, -4, 4 in descending order.\nAnswer: 4, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 + w**2 + 6*w - 5. Let v be i(1). Suppose 3*z - 8 + 25 = s, 0 = s + 5*z - 9. Suppose j - s - 3 = v. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1458307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 3:35 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -133\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 4*a**2 + 3*a. Let s be j(5). Let o be (s\/5)\/((-2)\/9). Solve 3*c + o*z - 9 = 4*z, -3*z + 5 = 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/666 and -17\/370?\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2602431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**5 - 29298*i**4 + 264411*i**3 + 4750650*i**2 = 0.\nAnswer: -9775, -9, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y + 47. Let p be q(9). List the prime factors of -4*458\/(-4) - p.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24311127 - 12935508. Let q = z + -375619. What is q rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = w + 2, 0 = -0*w + 5*w - l - 23 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23655.\nAnswer: 3, 5, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/65 - 8*(8 + 1256\/(-156))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13697 - -13704. Let g(k) = -3*k - 5. Let o(p) = -5*p - 7. Give m*g(f) - 5*o(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4684*n**2 - 14339*n wrt n?\nAnswer: -9368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 556 - 227. Let j = -108 + b. Does 25 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 266, 378?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7630963763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 67, 36, -7, -56, -105, -148?\n\"Answer: n**3 - 12*n**2 - 2*n + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36268458 by 1.\nAnswer: -36268458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200101 + -220012?\nAnswer: -1120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/110*5313\/(-10143)*1\/(-3).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1979500 and 851?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.094*-52.4\nAnswer: -4.9256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -191 less than -34471528?\nAnswer: -34471337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**5\/60 - z**4\/24 + 29*z**3\/6 + 5*z**2. Calculate the remainder when o(0) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - -30. Let b(q) be the second derivative of q**5\/20 - q**4\/3 - q**3\/6 + q**2\/2 - 2*q. Let t be b(5). What is the greatest common divisor of a and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2304.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 178.\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 4:33 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/13 (b) -0.3 (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-35))\/(321\/(-40))*(-1842)\/2456\nAnswer: -4\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2\/5, 0, -0.3, 1.859685?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 54*v - 1. Let z(j) = 3*j**2 - 107*j - 3. Determine -7*a(s) + 3*z(s).\nAnswer: 2*s**2 + 57*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 g, and 1 i when three letters picked without replacement from zdgzdihgidhzidigzhi.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8910.998911 + -8911. Round f to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 10 + 3*q + 35*q**2 + 1168*q**3 + 437*q**3.\nAnswer: 1605*q**3 + 35*q**2 + 3*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.74 (b) 0.13 (c) -17\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 750\/(-6) - (1 + 3). Let o = -49 - a. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 9 = 4*z - 4*m, -2*z + 4*m + 16 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 467221357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5256 and 31468986.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -134058, -134336, -134614, -134892?\n\"Answer: -278*q - 133780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*w = 80 + 22. Suppose -4*l = w*t - 2502 + 505, -3*t = -3*l - 1962. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-1)\/(7\/(-42)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-7)*(2 + -9) - 2. Let i(f) be the second derivative of 1\/20*f**5 - f**l + 1\/6*f**4 + 6*f - 1\/6*f**3 + 0. Determine p so that i(p) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645\/158 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1953820199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -8*u + 261. Determine k(32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 12:54 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(35) - sqrt(140))\/sqrt(7))**2 - sqrt(5) - (sqrt(405))**2) + (sqrt(720)*-2)**2 + 0.\nAnswer: -sqrt(5) + 2480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 98, 195, 292, 389, 486, 583?\n\"Answer: 97*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 1. Let u = p - 1.7. Let t = 1 + u. Which is the biggest value? (a) t (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(93\/(-18) + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23483 + -23485. Which is the nearest to f? (a) -3 (b) 0.5 (c) 7 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4845187727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (105\/(-4))\/((-57)\/456) is divided by 45.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o**3 + o**2 + 4*o + 2. Let i = 40 + -41. Let x be d(i). Are x and -10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 315 or 409?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2195871?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-11)*(-33)\/6. Let y(j) = 3*j**2 - j + 2. Calculate y(z).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 6*m + 30 = 0. Let g = m + 7. Solve -8 = 2*o - 2*x, -o - g*x + 12 = x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*n + 286455 + 6725 + 3044536. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.220682 less than 0.1?\nAnswer: -0.120682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 6*c**2 + 11\/6*c**3 + 0*c + 0*c**4 + 0 - 19\/60*c**5. Differentiate s(l) wrt l.\nAnswer: -38*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -99 (b) 0.062 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**1)**17\/(((z*z\/(z*z**(1\/4)))\/z)\/z**(-1\/11)) assuming z is positive.\nAnswer: z**(7\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21\/19 + 311\/247. Suppose 187 - 10 = -3*u. Let b = 64 + u. Sort c, 0, b in descending order.\nAnswer: b, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 2447 = 9*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*t + 28, 5*t + 30 - 6 = o. Let y be (2\/t)\/(8\/384*6). Sort -3, 5\/4, -1, y in decreasing order.\nAnswer: 5\/4, -1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-63) - (-30)\/105.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 2*z - 2*z + 52, 3*z - 6 = 0. Suppose -x + 2 = -1. Calculate the smallest common multiple of x and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + a**2 + a**4 + (112*a**3 + 14754*a - 14754*a)*(2*a - 5*a + 6*a) + (0*a**2 + a**2 + a**2)*(1 + 0 + 0)*(a**2 - a**2 - 2*a**2).\nAnswer: 333*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(249\/581*14\/130) - -13.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**5 - 650980*y**4 + 22128748*y**3 - 8442204*y**2 - 3053683872*y - 12394673136 = 0 for y.\nAnswer: -6, 23, 162711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 26*s**2 - 31*s - 71. Determine q(-27).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i + 37046 - 14*i + 8632.\nAnswer: i + 45678","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -285?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 263 + 243 = 0. Solve -g*r - 16 - 6 = -3*x, -8 = -2*x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 3*j**2 - 33*j + 131. Give l(0).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6649939025.\nAnswer: 5, 10099, 26339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 47*f**4\/4 + f**3\/3 - 20*f + 24. Find the third derivative of v(l) wrt l.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*s**4*x + 2*s**4 - 6*s**2 - 19*s*x wrt s.\nAnswer: -576*s*x + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 24 = 4*k. Let x be (-8)\/12 - (-16)\/k. Suppose x = -r - w + 5, -5*w + 8 = -2*r. Let t(i) = -9*i**2 + i - 1. What is t(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -103?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 402 - 191. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2976873793.3 take away 2?\nAnswer: 2976873791.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 3. Let a be (-16)\/(-56) - (-24)\/14. Suppose a*h - 4 = -6. Sort l, -2, h in ascending order.\nAnswer: -2, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**3 - 2*v**3 - v**3)*(-15*v + 3*v - 8*v + (2*v + 4*v - 4*v)*(0 - 2 + 0)) as a*v**3 + b + l*v**2 + g*v**4 + q*v and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1571729623.\nAnswer: 37, 137, 311, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4201643045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10972.\nAnswer: 2, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + 4*o**5 - o**5 + (-o**2 + 5*o**2 - 2*o**2)*(-o**3 - 7*o**3 + 2*o**3).\nAnswer: -10*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v + 486 = 0. Let r = -159 - v. Sort 1, r, -4, -2 in ascending order.\nAnswer: -4, -2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3401640398?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (20\/18)\/(-48 + 53) + (-162781)\/(-9) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1699, 6766, 15207, 27022, 42211, 60774?\n\"Answer: 1687*h**2 + 6*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26830414 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/6 - 9*c\/2 + 80\/3 = 0 for c.\nAnswer: -32, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-96))\/((-1)\/(9\/6))*22?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-99 - -212)\/(-113) + (-5 + 2)*-3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7\/(b*b*b\/b**7))\/(b*b\/((b*b**(-2\/7))\/b))**(-5) assuming b is positive.\nAnswer: b**(157\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, z: 2}. What is prob of sequence zrz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i + 5. Determine c(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1142979 is divided by 47624?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -156 + 159 + 0 + -49 + 0. Let p be (8 + -10)*w\/2. What is the greatest common divisor of 506 and p?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4869 * -887\nAnswer: -4318803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -2, -4, 4, 5 in decreasing order.\nAnswer: 5, 4, -2, -4, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 17. Let p = z + 20. Which is smaller: -11\/3 or p?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133 - 66.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 4 + (-23064 + 47235 - 22629)*(-2 - 4 + 3))*(1 - 1 - q) to t*q + k and give t.\nAnswer: 4627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1083 - 144)*(-4*g + 2*g - 3*g) as n + x*g and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssslllssss. Give prob of sequence lls.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 63911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 3*b - 1. Let s be r(-4). Let l be (s - 0 - 0) + 9065834. Let y = l + -1665837. What is y rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3 - (-56)\/12. Suppose 202 = o*h - 134. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(1 - 0\/(-1)). Let r be (36 - 41) + ((-87424)\/(-4494))\/4. Let z = -2\/321 + r. Which is smaller: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxyjiob. What is prob of sequence jxi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263543.3g to milligrams.\nAnswer: 263543300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10870 or 12181?\nAnswer: 10870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1412477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*j**3 - 6*j**2 + 2*j**2 - 108*j**3 + 4*j**2.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -21?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5770*d**3 + 11954 with respect to d.\nAnswer: -17310*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 0*f**2 + 6*f + 0 + 0*f**3 + 1\/6*f**4. Let k(b) = 8*b**2 + 16*b**2 - 30*b**2. Calculate k(o(u)).\nAnswer: -24*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -636637 minus -17?\nAnswer: -636620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 98096 >= 98094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34447*j**2 + 960 - 6111*j**2 - 960 to k*j + r + l*j**2 and give l.\nAnswer: 28336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*31\/(-9)*-15. Let d = 126 + f. Is d < -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-752 + 381 + 374 - 20*a**2)*(3*a**2 - a**2 - 11*a**2) in the form j*a**2 + k*a**3 + x*a**4 + h*a + b and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -83034.54 to the nearest 1000.\nAnswer: -83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28435343?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 + 101. Solve 0*t = -4*t + 2*z - 8, x*t = -3*z - 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 4. Suppose -l - 2 + 4 = 0. Suppose -o - l*d - d + 13 = 0, 3 = 3*o - 3*d. Let i(n) = n**3 - 4*n**2 + n - 4. Let k be i(o). Give u(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = -87*k + 115 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 14*l - 9. Suppose 2*v + 55 = 5*o, 4*v = 4*o + v - 44. Let n be s(o). Calculate the highest common factor of n and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/20*(-190)\/(-1254).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 (base 6) in base 4?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -128 in 1, -3\/8, 5, 2\/3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 2*q + 6*q)*(4 - q**2 - 4) + 2*q**3 + 0*q**3 + 0*q**3 + 2*q**3 + 0*q**3 + 0*q**3 - 2 - 10*q + 7*q - 4*q**3 - 3*q**3.\nAnswer: -4*q**3 - 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 496031, 992143, 1488255, 1984367?\n\"Answer: 496112*p - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 258033308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(3\/16)*t)\/t)\/t)**(-10\/7))**(2\/109) assuming t is positive.\nAnswer: t**(65\/3052)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.09 - -0.29. Let u = h + 27.9. Let n = u - 23. Which is the third smallest value? (a) n (b) -3 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00275094917 rounded to 5 dps?\nAnswer: -0.00275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 751 and 11456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866799.\nAnswer: 3, 19, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15624474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22350)\/622969 + (-19)\/(-703).\nAnswer: -1\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 849 + -846. Let r(i) = 14*i - 2. Let u(a) = a + 1. Let k(w) = 3*r(w) - 3*u(w). Does 22 divide k(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -9) + (8 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -54, -542, -18, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l**3 + l**2 - l. Let z be (-2)\/(-11) + 171\/209. Calculate g(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 not equal to 168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 64019179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 13*n**7\/105 - 61*n**5\/60 - 22*n**2. Find the third derivative of j(v) wrt v.\nAnswer: 624*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2570 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6*i = 108. Let u = i + -25. Let p = 72 - u. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 9. Let b be a(0). Suppose j - m + 3 = -j, -3*m = -j - 14. Suppose 0 = -2*g + b - j. Solve 0 = 5*w + g*c + 20, 0 = -w - 4*c + 1 - 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -44*l**2 - 3408*l - 4864 = 0?\nAnswer: -76, -16\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**6\/120 - b**5\/12 + 7*b**4\/24 + b**3\/6 - b**2 + 2. Let u(m) be the second derivative of k(m). Determine u(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*a + 24861 = 8*a, 0 = 3*a + 12. Let i = -5250 + k. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -107*d + 331. Is r(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -171. Does 21 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/13 (b) -1.386 (c) 1.21 (d) -2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 21 - -18) + -53.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.8 + -0.8. Let d = b - 5. What is the smallest value in -5, d, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -379 - -379. Is 13822 + a + (-70)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z - 5. Let b(v) = -2*v - 4 - v - 5 - 2*v. Let w(g) = -7*a(g) + 4*b(g). Differentiate w(y) wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3\/13 + 6*w**2\/13 - 36*w\/13 = 0 for w.\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 3:29 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*q + q = -44, q = 3*d - 27. Suppose -4*o = -0*o - 80. Calculate the least common multiple of d and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a114 (base 15) in base 3?\nAnswer: -112120212001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 - (22 + -2 + (-31 - -9 - -14))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 108 = 5*j - j, -3*z - 3 = 0. Suppose h - 4*b = j, 3*h = 4*b + 1 + 99. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (1 - ((27 - 10) + -7))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by -18.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 45 = -5. Let x = 124 - l. List the prime factors of x.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 9986*l**5\/17 - 489062*l**4\/17 + 8136228*l**3\/17 - 48366272*l**2\/17 + 39676928*l\/17 + 1032192\/17 = 0.\nAnswer: -126\/4993, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 6 + q + 0 + 1 - 1 - q + (-4 + 2 + 1)*(6*q + 0*q - 4*q).\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -446*h**2 - 415*h**2 - 1306*h**2 - 1 as v + b*h + a*h**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a00 - 5?\nAnswer: 9c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 6*m + 8*m = -28, 5*k - 465 + 245 = -2*m - 252 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -599 times 10.0066?\nAnswer: -5993.9534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142 + -145. Let s(w) = -w**2 + w + 3. Give s(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/10)\/((-28)\/6) - 76\/36176*68?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 848 and 31111?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000378923705 to six decimal places.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2, 5*s - 5*l - 11 - 9 = 0. Let x = 3 + -5. Let n = 0.4 + -0.2. What is the biggest value in n, s, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 2*c + 16. Does 23 divide w(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*n = 42*n - 93*n + 247776. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 648 divided by -81.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 30. Let c(s) = -4*s + 121. Let i(v) = v**3 - 2*v**2 - 86*v + 62. Let y be i(10). What is y*c(o) - 9*f(o)?\nAnswer: o - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - -12 - -12 - (2 + 5)) + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 3*p + 0*p - 5)*(-14*p + 252 - 252).\nAnswer: -28*p**2 + 70*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e + -5e3?\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3\/45)\/(-1*3*6\/72)\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 5. Let g be s(9). Let q(v) = 7 - g*v - 2 + 8*v. Let i(u) = -2*u - 2. Calculate 7*i(f) + 3*q(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 33 + 9)*(-11*g + 9*g + g) to the form p + l*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58458, -58452, -58440, -58422, -58398, -58368, -58332?\nAnswer: -58290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-117.\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12210 = -106*z + 972782. List the prime factors of z.\nAnswer: 2, 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h**2 + 8*h - 2. Let r(f) = f**2 - 2*f + 1. Let l(c) = -6*c**2 - 21*c + 7. Let y(z) = l(z) - 3*r(z). Calculate 11*n(u) + 6*y(u).\nAnswer: u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 249994.6 litres?\nAnswer: 249994600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3152663202?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2. Let b(s) = 111*s + 15. Let a(p) = -113*p - 18. Let k(c) = -5*a(c) - 6*b(c). Calculate l(k(o)).\nAnswer: 10201*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -9, 2*c + 10 = 2*f + 26. Let g(d) = 2*d. Suppose -3*q - 6 = -0*q. Let i be g(q). Put i, 2, f in descending order.\nAnswer: 2, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 - 24*q + 28. Let p be o(-13). Suppose 7 = p*z - 1. Let c(m) = -m**2 + m + 4. Give c(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90573?\nAnswer: 3, 7, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*n - 2*n, -4*s + n + 81 = 0. Calculate the remainder when s is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -2) + 24 + (-16 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4749?\nAnswer: 3, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 7. Let u(d) = d**3 - 6*d**2 + 4*d - 3. Let n be u(2). Let t be s(n). Suppose -t = -l + 5. Calculate the remainder when 15 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 5*l**3\/3 + l**2 + l - 1. Let x be i(-1). Let a = x + -3. Put a, -5, 4 in increasing order.\nAnswer: -5, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 (base 16) in base 4?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24182 (base 10) in base 4?\nAnswer: -11321312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3752, 7507, 11262, 15017?\nAnswer: 18772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5))**(27\/4) assuming y is positive.\nAnswer: y**(-135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7439303 or 7439299?\nAnswer: 7439299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 167.5 + -139. Let p = -29 + n. What is the third smallest value in -0.3, 13, p?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from eqaqkkae.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 654.785208 milliseconds in weeks?\nAnswer: 0.0000010826475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -4, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*h + 130 - 820, 0 = -4*u + 16. Suppose -y = 2, -4*y = n - y - 123. Let r = h - n. Is r a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 0*t. Suppose -5*z = h - 15, -615*z + 5*h + 24 = -607*z. Solve -20 = -v + 3*q - t, 0 = 3*v + z*q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -425*b*i**4 + 2964*b*i**2 + 790797528*b wrt i?\nAnswer: -1700*b*i**3 + 5928*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c*c\/(c*((c\/(((c*c**(-11\/3))\/c*c*c)\/c))\/c*c*c)\/c)*c*c**(1\/9)*c assuming c is positive.\nAnswer: c**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*g = -102*g + 16, 40 = -4*y + 10*g. Solve y = 3*z + 108 - 117, 0 = -5*q - 2*z + 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.2, 37\/5, -4, 0.3, -7 in decreasing order.\nAnswer: 37\/5, 0.3, -3.2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13285, 13283, 13281?\n\"Answer: -2*h + 13287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 168 + -168. Let k be (0 - x)*(21\/(-3))\/21. Which is the third smallest value? (a) k (b) -5 (c) -0.09 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)\/x*x**(-1\/6)*x*(x\/(x*(x*x**(-4\/17))\/x))\/x**(-2\/27))**(-14) assuming x is positive.\nAnswer: x**(919\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (54\/24)\/((6\/(-368))\/(-1)). Let f = x + 335. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 18*r - 5. What is o(18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 590375 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 462339567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 991375*h. Let x(z) = z**2. What is x(n(v))?\nAnswer: 982824390625*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10234137 (base 8) to base 13.\nAnswer: 5b2c49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 690919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k + 11. Let z(i) = -5*i + 12. Calculate -3*d(h) + 4*z(h).\nAnswer: -2*h + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a*r**2 - 41*a + 5*r**4 wrt r?\nAnswer: -2*a*r + 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 2*j**2 - 4*j. Let b(p) = -p**4 - p**3 + 3*p**2 + 4*p + 1. Let q(l) = 4*b(l) + 6*i(l). Factor q(u).\nAnswer: -4*(u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 e when two letters picked without replacement from {e: 1, x: 1, b: 12}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 200*d**2 - 25*d + 41. What is the thousands digit of m(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2208 is divided by 366.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**6\/660 + 49*y**5\/30 - 6030*y**4\/11 - 24300*y**3\/11 + 252*y**2 - 1. Suppose b(w) = 0. Calculate w.\nAnswer: -1, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3 + 1 = -o, -4*i = -o - 8. Let p(q) = -7*q**2 + 0*q**i + q**2 + q**2. Let u(a) = 2*a. Give u(p(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36200 in 1, 2, -1\/4, -1\/48?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47665767?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-3)*6\/9. Solve 0 = -l*z + 1 + 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 4. Let k = -7 + f. Let u = -0.4 + -1.6. Sort k, 3\/5, u.\nAnswer: k, u, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 181 + -175. Solve 3*g = 5*g + i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 644, 671, 758, 935, 1232?\n\"Answer: 5*o**3 - 8*o + 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 5. Let i be 1 + -3 - 27\/q. Let l be ((-2)\/11)\/(66\/(-1089)). Which is the second smallest value? (a) 2\/11 (b) l (c) i (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6891*g**3*l + 5*g*l - 2*g + 3*l + 266 wrt g?\nAnswer: 41346*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147862 - -222165. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*k = 4*y - 14, -y = 2*k + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 8257976.\nAnswer: 17\/8257976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2035946.44 + -0.067.\nAnswer: 2035946.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1131*x - 747. What is the units digit of c(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n - 12. Let i be q(-4). Suppose 0 = i*b - 2*b. Solve -4*c + 0*c + 12 = b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f = 4. Let m = -1 - f. Suppose -t + 12 = -m. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhrhhhrhhhhh. Give prob of sequence hr.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153813803*a**3*v**2 + 80*a**2*v**2 - 18*a**2*v - 6762*v**2 wrt a.\nAnswer: 922882818*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 157*g**8\/56 - g**6\/60 + g**4\/12 - 170*g**3 - 93*g**2 - 1. What is the second derivative of y(p) wrt p?\nAnswer: 18840*p**3 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, r: 5, k: 1, o: 3}. What is prob of picking 1 k, 1 y, and 2 r?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - -2. Let w be ((-6)\/4)\/(-19 + r). What is the closest to w in 14, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 13\/2 (b) -2\/19 (c) 3046\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*b + 49942274 = -90*b + 159*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + 2 + (3 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227515, 910162, 2047893, 3640696, 5688559, 8191470, 11149417, 14562388?\nAnswer: 18430371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 398*d + 54. Let x be n(-8). What is x rounded to the nearest one hundred?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5943 - -5942.98. Sort 1\/7, g, -3\/4 in descending order.\nAnswer: 1\/7, g, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21*(-17)\/18207)\/((-1)\/(-18))\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 6*h**2 - 2*h + 9. Let p be d(6). Let b be p*(1 + -3) + 0. Find the first derivative of -10*l**4 + 14*l**4 + 13*l**4 + b*l**4 - 12 wrt l.\nAnswer: 92*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159 - -159. Suppose -o - o + 2440 = p. What is o rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -67*o + 12*o**2 + 17 - 3*o**3 + o**3 + 3*o**3 - 13*o**2. Is l(22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 6*t + 1. Let f be y(5). Suppose -f = 6*x - 0*x. Let v = 1483 - 1488. What is the closest to 1 in 3\/5, v, x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/9)*i*i*i\/(i**(-11)*i))**(2\/45)*(i**(-1\/3)*i)**38*(i*(i*i\/((i\/((i**2\/i)\/i))\/i))\/i)**25 assuming i is positive.\nAnswer: i**(6148\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q - 172. What is m(25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 3 - 3)*(2*f - 4*f + f) - 46*f**2 - 1137*f - 277*f**4 - 3919*f + 46*f**2 + 279*f**4.\nAnswer: 4*f**4 - 5056*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k**2 + 6*k. Let g(p) = 7*p**2 + 7*p. Let d be (0\/1)\/(-3 - -1). Let l be 65\/7 + (-4)\/14. Suppose 3*b + 27 - l = d. Give b*u(c) + 5*g(c).\nAnswer: -c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 434 (base 5) to base 13.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1503045.\nAnswer: -1\/501015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (32\/12 + -2)*3. Solve n = -3*q - h - 2, 3*n + 3*q = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 5 (b) -106 (c) -6 (d) 3 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 21\/2*y**2 + 21 - 49\/4*y**3 - 3*y. Suppose k(i) = 0. What is i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1178*u - 1174*u + 31 - 3*u**3 + u**3 + 0*u**3 to d*u + t + c*u**3 + r*u**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6808 divided by 7054.\nAnswer: -3404\/3527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 20 = -3*n, 5*n - 16 = q + q. Suppose -954 = -t - q*t. What is the smallest common multiple of t and 6?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-37)\/17908*22)\/((-1)\/(-2))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(448) + sqrt(42)\/sqrt(6) + 2.\nAnswer: 2 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 - 445 - 382 + 339 = 11*n for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 247\/175 + -21\/25. Suppose -7*r = 27*z - 31*z + 24, 5*z = -2*r - 13. Put 1\/7, r, d in descending order.\nAnswer: d, 1\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeekeheee. What is prob of sequence ehk?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbbxxwbxxgbbxxxx. Give prob of sequence xbxx.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1 = 6. Suppose 2*i + i + 3 = 5*l, 0 = 3*l - i - o. Suppose 4*d - 60 - 28 = l. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2679 is divided by 282?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*b + 84, -b + 2*q + 198 = 4*b. Suppose v + 12 = 6*v + 4*i, -2*v - 3*i = -2. Solve -19*m - 37*m**4 + b*m**v + 36 + 7*m - 27*m**2 = 0 for m.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73016 + 89517581\/1226. Calculate the common denominator of v and -23\/5517.\nAnswer: 11034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*w + 20 = 0. Suppose m - 27 + w = 0. Which is the nearest to 0.1? (a) 2\/5 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747218655?\nAnswer: 3, 5, 5534953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 23*f + 560 = 20*f, 0 = -4*f - 8. Let p = c + 654. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 1. Let m(v) = -6*v - 1. Let n(r) = -m(r) - 2*z(r). Let d(h) = h - 1. Let s(o) = -5*d(o) + n(o). Give s(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7932*t - 3175. Is r(-31) 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 945599764?\nAnswer: 2, 139, 1700719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 14*h**2 + 564. What is the units digit of l(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -1733*p**2 - 59101. Let t(b) = -771*b**2 - 26267. Let s(h) = -20*t(h) + 9*y(h). What is the first derivative of s(f) wrt f?\nAnswer: -354*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*o + 5 = -88, 63 = 3*c - 3*o. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29737089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003362304112 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 12 = 7*m. Calculate the remainder when 58 is divided by (-184)\/m + (-10)\/15.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*(-1)\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 785*g = 4514 - 15504 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (7 - (-19 + 12 + 5)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3880432.\nAnswer: 2, 29, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-338 - 4)\/(-6)*(-6)\/1. Let c be a\/540 + 4\/5. Suppose 4*o = -p - 3, 0 = -3*o + o + 4*p - 6. Which is bigger: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + t - 725, 0 = 8*u - 13*u + 5*t + 1235. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -6*w**5 - 46*w**4 - 118*w**3 - 138*w**2 - 76*w - 16 = 0.\nAnswer: -4, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5520, -5521, -5522, -5523?\nAnswer: -5524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 2, i: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**2 + 1595*o - 38090 = 0. What is o?\nAnswer: 26, 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -1996*h - 944. Does 56 divide s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 16*i - 48.\nAnswer: -(i - 12)*(i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*g*q**3 + 7*g*q**2 + 133*q**3 with respect to g.\nAnswer: 5*q**3 + 7*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46 or -3417124?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12315 and 150?\nAnswer: 123150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*j**2 - 33*j**2 + 7*j**2 - j + 13*j**2 in the form w*j**2 + c*j + u and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkee when four letters picked without replacement from {f: 6, k: 7, e: 4}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.07 + -8.37. Let s = -2 - -12\/7. What is the third biggest value in f, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*m + 11. Let z(b) = -2*b + b - 3 + m. Let c(g) = 1. Let q(f) = 3. Let s(r) = -4*c(r) + q(r). What is 6*s(t) + 2*z(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14760 = 7*n - 48*n. Let m = 339 + n. What is the remainder when m is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26860690483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2\/5, 3, 0.1, -29178?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(80) - sqrt(5))**2*-2)*2 + ((0 + sqrt(5))**2 + 5 + sqrt(15)\/(sqrt(9)\/sqrt(3)))*-3 + -1.\nAnswer: -201 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272117.\nAnswer: 41, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 7*x - 5. Let y be o(-6). Is 2 - (-14)\/y*1 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by 34050.\nAnswer: 53\/34050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 340*n - 3292. Let i(h) = -5*h. Calculate i(t(f)).\nAnswer: -1700*f + 16460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -86 from -357.6.\nAnswer: -271.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0*(3\/3 - 0\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2)*(-10 + 552*(-9)\/(-144)).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 - 14 - 21 + 36*w**2 - w**3 to the form m*w**3 + u*w + r*w**2 + d and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4326427 and 2984?\nAnswer: 34611416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 292 and 10876051.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, 1\/69, 9343?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 24*0.027\nAnswer: 0.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 94*r**2 + 2283*r - 2282. What is s(1)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(12) + (sqrt(36)*2 + sqrt(36))\/sqrt(3))\/(sqrt(216)\/sqrt(4) + sqrt(54) + sqrt(6)).\nAnswer: 20*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*i - 105 = 0, 3*k = i + 3*i + 67. Suppose -2*d + j = -k, -2*d + j = -4*j - 37. Calculate the least common multiple of d and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*v**4 - 157*v - 93 with respect to v.\nAnswer: -156*v**3 - 157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**47*h**9*h**(-45)\/h**(-1\/10) assuming h is positive.\nAnswer: h**(111\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 2. Let a be h(6). Suppose -5*x + 31 = a*t, x = 5*t - x - 14. Suppose -t*l = -2*g - 0*l + 18, -l = -4*g + 57. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*n**3 - 13*n + 14*n**3 + 13*n + 2 as g*n**2 + j*n**3 + m*n + p and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 8 = -2*s, 7*s - 6 = 5*s + 4*q. Let c(v) = -14094*v + 6. Let h be c(s). What is h rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5049 in 2\/7, 1\/449, -3, -5, -1\/4, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 152.00003 + -152. Round r to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -1\/5 (b) -0.07 (c) 2\/17 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.04 - -3.\nAnswer: 4.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7897, -7892, -7883, -7870, -7853, -7832, -7807?\n\"Answer: 2*z**2 - z - 7898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002114 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 10, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 8*n**3 + 11*n**3)*(-14 - 12 + 155).\nAnswer: 2193*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 12) in base 16?\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 415385959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48.60439 - -48.6. What is w rounded to four dps?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.112 in 26, 3, -6\/5, -25, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.9 - -62810.\nAnswer: 62815.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 - 17854888.\nAnswer: -17854887.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/7*o - 2\/7*o**2 - 32\/7.\nAnswer: -2*(o - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 422 - -80. Let q = n + 321. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + 3*y**3 - 4*y**3 + (-7 + 7 - 3*y**2)*(-3*y + 2*y + 2*y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31635157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvvqvgqgqgqqvgg. Give prob of sequence qv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4963, 10756, 16695, 22786, 29035, 35448, 42031, 48790?\nAnswer: 55731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9)*c)**(-42)\/(c\/(((c\/(c**(-1)*c)*c)\/c)\/c)*c**(-1\/4)) assuming c is positive.\nAnswer: c**(-401\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4527271 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 57559 minus -0.3?\nAnswer: 57559.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 637106 to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwd when three letters picked without replacement from {l: 1, d: 2, g: 1, v: 5, w: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 7 = -22. Let b(j) = j + 29. Let p be b(0). Let v = -11 - -11. Solve v = 5*k - y*r - r + p, r - 6 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5980 = -3*o - 17*o. List the prime factors of o.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6055, 6026, 5987, 5938, 5879, 5810?\n\"Answer: -5*i**2 - 14*i + 6074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/96)\/(45\/((-10080)\/56)))\/(10\/(-4)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 5:04 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37441 + 2232. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 323.2 and 0.18.\nAnswer: 323.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -674 - 671 - 660 + 2678 - 673 - 32*a**2.\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (15109 + -15085)*1*-4?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 2, -5, 72, 3 in descending order.\nAnswer: 72, 17, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 77, 175, 313?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-16)\/12*6. Let k be 138\/42 - (-2)\/l. What is the second derivative of -3*t + 2*t**3 - 5*t**k - t**3 - t wrt t?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77810483.\nAnswer: 421, 184823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134773725?\nAnswer: 3, 5, 1796983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3482354681?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/3 - 566\/(-6).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 322650?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 7. Let f be (8\/a)\/(16\/(-40)). Let u be 8\/18*(-15)\/f. Sort -0.8, u, 0.2 in descending order.\nAnswer: 0.2, u, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -270 + 273. Suppose 0 = 3*g + 5*v - 16, 0 = -5*g + a*v + 4. Solve 8*c + g + 6 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, o: 1, m: 1, x: 2, t: 1, u: 1}. What is prob of sequence ou?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/1)\/(50\/1850). Sort b, 3, -2.\nAnswer: b, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9308, -18621, -27934, -37247?\n\"Answer: -9313*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 81*l**2 + l + 1. Let a be y(-1). Let p be ((-864)\/168)\/(2\/(-21)). Calculate the greatest common divisor of p and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o = 24. What is the tens digit of ((-2)\/4)\/((-1)\/o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**1)\/k)**(-1\/11)*k\/((k*k**7)\/k*k)*k**(1\/20) assuming k is positive.\nAnswer: k**(-1509\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -137 - -133. Let q be ((-4)\/24)\/(g\/6). Which is the fourth biggest value? (a) 3 (b) -2 (c) q (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 12 (c) 3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12360*o**2 - 172*o**3 + 12362*o**2 + 12364*o**2 - 37086*o**2.\nAnswer: -172*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyoybybybyuobyuyybyy. What is prob of sequence bubo?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/(-210) - ((-7050)\/21)\/(-2). Let o be (42\/9)\/(-1 - g\/162). Calculate the highest common factor of 84 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*z - 2*z**2 + 3*z**2 + 7*z - 2*z**3)*(4*z - z - 4*z).\nAnswer: 2*z**4 - z**3 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/17, -79, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4588 + -4588.3. What is the nearest to -1\/3 in 2\/9, 6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2310*a + 9356. Calculate the remainder when 2433 is divided by h(-4).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-190 - -193) + 0 + 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -250.5249 take away -92.9?\nAnswer: -157.6249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -288*v**5 - 2210320*v**4 + 2825134*v**3 + 2809512*v**2 + 736904*v + 61408 = 0. What is v?\nAnswer: -7676, -1\/4, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3}. What is prob of sequence aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, -11, -23, -35, -47?\n\"Answer: -12*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 692434 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0*(-3)\/(-9))\/(7 + -8). Suppose c - 2*x = -8, i*x + 3*x = 2*c + 14. Which is bigger: c or -18?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -2.9. Let t be 54\/(-10) + (-222 - -227). Which is the biggest value? (a) t (b) x (c) 0 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 864285803?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by 453879.\nAnswer: 53\/453879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 - 17*v**2 - 9*v - 8. Let t be g(-8). Solve -19 = -2*q - 2*n + 5*n, t = q - 5*n - 27 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9853790 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3273363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33 - (-3 + 4 + 0). Suppose 2*y - 5*o = 11, 10 = 4*y - 0*y + 2*o. Suppose -8 + s = y*r. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11727, 48224, 109061, 194244, 303779, 437672?\nAnswer: 595929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 346 + -311. Calculate the highest common divisor of v and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*d**3 - 465*d**2 + 22255 wrt d.\nAnswer: -12*d**2 - 930*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -o - 7, 0 = -4*u - o - o + 16. Let i be -5*u\/((-12)\/4). Determine g, given that i*g**2 + 3*g - 3*g - 1 - 4*g**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.154 + 0.154. Which is the fourth smallest value? (a) m (b) 0.2 (c) 2 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**2 - 4776*m - 23980 = 0. What is m?\nAnswer: -5, 1199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**4 - 5064*q**3 - 97840*q**2 + 231048*q + 323820 = 0.\nAnswer: -21, -1, 3, 1285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 40\/9 (b) 0.94 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((6\/(-3) - -2)\/(-3))\/(-1). Let m(h) = -3*h + 5. Let z be m(u). Let q be (-10)\/(-4)*6\/z. Solve w - 16 = 3*a, q*w - 4 = -2*a - 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 6:26 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0497 * -0.51.\nAnswer: 0.025347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-130)\/(-6175))\/(15\/1425). Let 62\/3*z + 1\/3*z**f + 961\/3 = 0. Calculate z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1)*(12*d + 0*d + 3*d) - 3*d - d + 2*d to the form i*d + x and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-9))\/(5\/2))\/(450\/(-1500))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 0*n**6 + 4\/105*n**7 + n**2 + 0*n**3 + 0*n**5 - 1\/8*n**4 + 0*n + 0. Find the second derivative of w(j) wrt j.\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.4, 4, 2.2, 0.5, 13, -532 in increasing order.\nAnswer: -532, -6, 0.4, 0.5, 2.2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1616483043.\nAnswer: 3, 7, 25658461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9898 - 9891. Solve 18 - 32 = y*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 51*a. Let z(g) = -2 + 2 + 842*g - 1688*g + 844*g. Give t(z(p)).\nAnswer: -102*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -w + 11, -81*g + 53 = 5*w - 77*g. Let s(x) = 14*x**2 + 3*x + 3. Let y be s(3). What is the units digit of (w + -10)\/((-2)\/y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 - 83. What is the common denominator of 149\/30 and (-3)\/g - (-1490)\/200?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14073 is divided by 204?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*p + 57*p - 28864 = 253*p for p.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -q - 15, 72 - 26 = -l - 4*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -de1f (base 16) to base 11\nAnswer: -397a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 14*r + 11. Let l be t(-13). Which is the nearest to 1\/2? (a) l (b) -5 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 494403729 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1054781 divided by 1211?\nAnswer: -871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -311*i + 319*i - 224. Solve i*a + 14 = 35*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8708, 17490, 26410, 35534, 44928?\nAnswer: 54658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 12:59 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 - k. Let d(s) = 8889*s**2 - 8229*s. Let r(n) = d(n) + h(n). What is the second derivative of r(j) wrt j?\nAnswer: 17772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 13, r: 1, f: 1}. Give prob of sequence rbb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 11:46 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) 1\/33 (c) 1 (d) -96 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l - 1. Let j(r) = r**2 - 5*r + 2. Let g be j(l). Let q(s) = -s**2 + 3*s + 5. Let i be q(5). Put -1, g, i in descending order.\nAnswer: g, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 270 = -181. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 299.55 and 265.\nAnswer: 79380.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u - 2 - 32*u**3 + 0*u + 5*u**2 + 31*u**3. Determine y(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*j + 2396611 - 2398327 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137205882.\nAnswer: 2, 3, 11, 347, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onoonomeezoomoeoomoz. Give prob of sequence onz.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q\/(q\/(q\/(((q**(-5)\/q)\/q)\/q)*q)))*q*q*q**(-1\/7))**(2\/9))**(5\/11) assuming q is positive.\nAnswer: q**(-40\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 668.\nAnswer: 4008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 76432*u + 3. Let a(s) = 12*s. Determine w(a(q)).\nAnswer: 917184*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 11:31 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1134, -14, 5 in decreasing order.\nAnswer: 5, -14, -1134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -11. Suppose k = -v + 53. Let b = -150 + 157. What is the greatest common divisor of k and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*u = 0. Let y = 5 + u. Suppose -12 - 13 = y*s, 3*c = -2*s + 2. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + t**2 - 2*t + 1. Let m(z) = -9*z**3 - 4*z**2 + 8*z + 12. Give -m(s) - 4*q(s).\nAnswer: 5*s**3 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 77093.52 nanograms in micrograms?\nAnswer: 77.09352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 108, 238, 420, 654, 940?\nAnswer: 1278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 242481\/(-18300)*2. Let b = w - -1\/1525. Find the common denominator of 35\/9 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22335 + -22334.983061. What is v rounded to four decimal places?\nAnswer: 0.0169","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 27*m**2 + 58*m + 38. Let y be h(25). Suppose -246*p = -y*p - 296. Calculate the remainder when 38 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**3\/3 - 11*n**2 - 29*n - 28. Does 27 divide x(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkgkg. What is prob of picking 2 g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**3 - 2. Let d(i) = 3*i**2. Give o(d(f)).\nAnswer: 27*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1580, 1581, 1582, 1583, 1584, 1585?\n\"Answer: l + 1579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**3\/2 + 13*r**2\/2 + 7*r - 3. Determine s(11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -792 (base 10) to base 7.\nAnswer: -2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 1, x: 2, b: 1, r: 2}. Give prob of picking 1 x and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -19232991 - 1.99\nAnswer: -19232992.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18292*g**3 - 18287*g**3 + 7*g**2 + 36584*g**3.\nAnswer: 5*g**3 + 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + -0.4. Let i = -0.4 - x. Let d = -48 + 51. What is the closest to i in d, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4755256 (base 8) in base 11?\nAnswer: 809649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (130 - 130 - 8*d)*(-75*d + 80*d - 73*d).\nAnswer: 544*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 + -9)*2 + 9. Let u(h) = 7*h - 4. Let w be u(4). Suppose w = -4*v + 32. Calculate the highest common divisor of q and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krdkdwdrgdmkd. Give prob of picking 1 k and 1 d.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 179\/1358 + 8\/97. Let c = 192 + -1327. Let x = c - -6913\/6. Calculate the common denominator of d and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1074, -2930, -9606, -18954, -30974, -45666?\nAnswer: -63030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqg when three letters picked without replacement from uogqqquuuouu.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - u**2 + u**2. Let q(f) be the second derivative of f**4\/12 - 4*f. Calculate k(q(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8800 - -12908. Suppose -5*h = -h + 3*c - 8218, -l = -2*h - c. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d - 7. Let w be l(-7). Suppose -19 = -5*r + 11. Suppose 1 = -w*t - r. Are t and -2\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14614330.18 - -1.7.\nAnswer: -14614328.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 27 at most 174073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -4, 3, 5\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 57*l**2 - 414*l - 33. Give x(7).\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 3*t + 3 = 14*j, 0 = 2*t - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*c = -247*c - 308*c - 88110 for c.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 9*z**2 + 2006*z - 4198. Give u(-225).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r - 7. Let q be i(-9). Suppose 0 = -6*l + q*l + 3900. Round l to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -4. What is the smallest common multiple of 10 and (1*-2)\/((-1)\/o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13078 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22\/257? (a) 10 (b) 3 (c) -59\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9283 divided by -9283.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 12. Suppose 5*b + 16110 = 2*u, -j*b - 3*u = 3*b + 16085. Round b to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/15)\/(3\/(-9)). Let x(v) = 2*v**2 + 7*v + 8. Let t be x(j). Factor -2\/13*o + 0 - 2\/13*o**t.\nAnswer: -2*o*(o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add together 1483.6 and 8.03.\nAnswer: 1491.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4\/13 + 322*m**3\/13 - 16254*m**2\/13 - 34722*m\/13 + 50652\/13 = 0. Calculate m.\nAnswer: -201, -3, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**4\/8 + 7*h**3\/6 + 2*h**2. Let g be u(8). Let y = -7 - g. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3.281 (b) -4 (c) -5 (d) -2\/51 (e) 0.1 (f) -1 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 3322471.\nAnswer: -3322471","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 5*d + 7. Let z be a(-4). Solve z*x - 6 = 6*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 66.24006um?\nAnswer: 66240.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.472 + 7.772. What is the fourth smallest value in 4\/5, p, 4, -6, -0.5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 11 - 8*m - 3 + 1 - 3*m**2. Is 23 a factor of v(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511415266.\nAnswer: 2, 223, 1146671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*r - 457, 4*k + 905 = 4*r + k. Let c = r + -128. Does 30 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96131011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/7*(-70)\/10. Suppose 0 = q*k - 4 - 2. Find y such that 18*y**5 + 8*y**3 - 17*y**5 - 4*y**4 + y - 4*y**2 - k*y**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*w = -4921, -4*v - 2*w - 4871 = 3*w. Let r = v + 8620\/7. Calculate the common denominator of -40\/7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 7.2. Let i = a - -2.8. Let b = 0.1 + -0.1. What is the biggest value in b, i, -1\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7180.369 kilograms?\nAnswer: 7180369000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 160 and 913322887.58.\nAnswer: 913323047.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 113648*k - 807241744.\nAnswer: -4*(k - 14206)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q. Let p(t) = -297010774*t**2. Give p(l(h)).\nAnswer: -297010774*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1026, -1027, -1028, -1029, -1030, -1031?\n\"Answer: -z - 1025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in -36, 2\/13, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -73919940, -73919941, -73919942?\n\"Answer: -j - 73919939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 31, 7, -3.\nAnswer: -3, 1, 7, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 - 4*h**2 - 5*h**2 + (26 - 26 + 10*h)*(-h + 3*h - 3*h).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**5\/20 - 5*s**4\/12 + 2*s**3\/3 - 3*s**2 + 6*s. Give j(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 6 (c) 2\/3 (d) 0.3 (e) 13\/5130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 147*r - 1976 + 1976 + 153*r to c + u*r and give u.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*g = -57*g + b + 2, -4*b - 8 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 1463?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165.6957 nanometers to meters.\nAnswer: 0.0000001656957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -265, -264, -259, -250, -237, -220?\n\"Answer: 2*d**2 - 5*d - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 4, -2\/9, 1\/69, 0.005 in descending order.\nAnswer: 4, 1\/69, 0.005, -0.09, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/5)*l*l*l**(-6\/11)*l*l\/((l\/l**(-2\/5))\/l)*l*l*(l**(-5)\/l*l)\/l assuming l is positive.\nAnswer: l**(-63\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 32340592*s. Let h(l) = 10*l**2. Calculate h(t(r)).\nAnswer: 10459138909104640*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12343, -12099, -11687, -11107, -10359, -9443?\n\"Answer: 84*m**2 - 8*m - 12419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, a: 6}. Give prob of sequence aaaa.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - i = 18 - 16, -4*i = -6*b + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 5. Let i be 3*((-44)\/(-3))\/4. Let c = 11 - i. Suppose c*s + 5*s = 0. Calculate y(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/48*2\/3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/11))**(2\/23))**18*(((l*l**4*l*l)\/l)\/(l\/(l\/(l**10\/l))))**47 assuming l is positive.\nAnswer: l**(-35601\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1251816789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxxm when four letters picked without replacement from mxmmxxxxmxxxxxxxxxxx?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.0621*-3.7\nAnswer: -0.22977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -20, 5*l = 2*o + 4 + 6. Suppose 30 = -f - 2*b - b, f + 62 = o*b. Which is smaller: f or -41?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 3*y - 30 = 0, -10*v - 3048*y + 3045*y = -7*v - 48 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 8*v - 31. Give t(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.419999 - 0.42. What is n rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 15, -18 in descending order.\nAnswer: 15, 2, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + f - 2, -4*f - 18 = -r + 6*r. Let p be (r\/3)\/(4\/(-18)). Let j = 0 + p. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 7, -1\/4, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-6))\/((-1)\/144*12*-84)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3300\/1452*(-66)\/(-3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 2*o**2 + 2. Let c be t(2). Suppose -c*z - 13 = 5. Let f = 9 - z. What is the remainder when 51 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -5, -41\/10 in descending order.\nAnswer: -5\/2, -41\/10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1420559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)\/sqrt(3) + -4 - (sqrt(85) + sqrt(85) + 1*sqrt(85))\/sqrt(5)) + 1 - (-1 + (sqrt(2057)*4 - sqrt(17)))*4)**2.\nAnswer: -348*sqrt(17) + 514693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.95 and 4.18?\nAnswer: 3.971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 11. Let c(z) = -10*z + 120. Let t(o) = 6*c(o) - 65*v(o). Differentiate t(d) wrt d.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2 = 3*r + 2, 4*i - 4 = -4*r. Let m = r - -2. Calculate the highest common divisor of m and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3 + 11481*a**2 - 30606795*a - 13702223525 = 0. What is a?\nAnswer: -389, 5935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 1\/4, 140 in increasing order.\nAnswer: -5\/3, 1\/4, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-57)\/(-2) - 147\/(-98). Let d be (-12)\/(-30) - (-78)\/f. Solve d*c + 3*c + 24 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 241, 167, -19, -371, -943, -1789, -2963, -4519?\nAnswer: -6511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.4 + -0.4. Let t be (-803)\/77 + 13 - 3. Which is the second biggest value? (a) f (b) -1.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 4:43 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d - 805 = -40*d. Is (-10)\/d - (-17415)\/21 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 + 2. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 at most 27852\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**2. Let l(z) = 735*z + 2310. Let o(n) = -2*n - 6. Let u(x) = 2*l(x) + 770*o(x). What is f(u(q))?\nAnswer: 34300*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = c + 12, 4*h - 20 = 0. Let a = c - -18. Let l be a\/(-6) + 8\/12. Is l > 2\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24313 - 24417.43. Let f = d - -104. Let c = f - -0.23. What is the biggest value in c, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1684000 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Let i be -2 + -2 + (-18)\/(-3). Suppose 0 = 3*l + i*l - 15. Solve -2*v - 3 = -t, -l*v - t = -6 - h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from {m: 3, a: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -54894, 123, 0.1, -0.4, -0.2, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -230*f**2 - f - 2. Let p be m(4). Let o = -33116\/9 - p. What is the common denominator of 31\/3 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 13*c**2 - 15*c - 13. Let u(j) be the second derivative of -7*j**4\/12 + 4*j**3\/3 + 7*j**2\/2 + 9*j. Calculate -6*b(d) - 11*u(d).\nAnswer: -d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -84.1 times 0.4\nAnswer: -33.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149176, 149186, 149196, 149206, 149216, 149226?\nAnswer: 149236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783696468.\nAnswer: 2, 3, 41, 1592879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*8\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7710.\nAnswer: 2, 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 151\/98 - 2\/49. Let s = -6327 - -6326. What is the closest to s in n, 2, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100001010 + -101?\nAnswer: 10100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1376 + 1376 + 14*y**2)*(-y + y + y + (4 - 4 - 2)*(3*y - 6 + 6)).\nAnswer: -70*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5955114491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 1. Let s = 0.1 - 0.1. Let t = -0.8 - -0.3. Which is the smallest value? (a) t (b) m (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 + 62*i**2 + 62*i + 94. Calculate u(-30).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-226))\/(268\/(-333660)) - -11?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 + 61. Suppose -n - s = -z*s - 8, -n - 5*s = -32. Calculate the remainder when 59 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 8:28 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpp when three letters picked without replacement from ppwwpwwpppp?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 4*i**2 - 3*i + 10. Let z be q(-5). Solve b + 10 = -5*g, 5*g = -2*b - 15 - z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 + -166 + 83 + -8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86582805*v**4 - 32*v + 619247.\nAnswer: 1038993660*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4593 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 64291*-32\nAnswer: -2057312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 261.34 to zero decimal places.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -3*j**5\/5 - 15*j**4\/4 - 9*j**3 - 21*j**2\/2 - 6*j + 784. Factor f(z).\nAnswer: -3*(z + 1)**3*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399*s + 4 - 4 + 67*s.\nAnswer: 466*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*t + 89, -c - 2*t + 36 - 5 = 0. Let k = c + -10. Let s = 2 - -23. Calculate the remainder when s is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*v**2 - 31*v**2 + 21*v**2 + v**4 + v - 1 as x*v**2 + d*v**4 + r*v + l + q*v**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 10 = a. Suppose -a*j + 44 = -3*j. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -119108?\nAnswer: -17\/119108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -54*j - 506. What is n(-9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*y = 12*y - 3*y. Let i = 91 + -1181\/13. Factor -i*g**2 + y + 2\/13*g.\nAnswer: -2*g*(g - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18 or -106?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**3*s**(1\/4)*(s\/(s*s**(1\/4)))\/(s\/(s**(2\/17)*s)) assuming s is positive.\nAnswer: s**(53\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -304261, -1217356, -2739173, -4869706, -7608949?\nAnswer: -10956896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-6))\/((-4)\/(-36)). Solve 0*h = -n*h - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c87b + -2564?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*v - 4. Let r be 3 - (2\/v)\/1. Let d(g) = -2*g**2 - 3*g - 2. Let b(n) = 0*n**2 + 8*n + 211 - 406 + 5*n**2 + 201. Determine r*b(k) + 11*d(k).\nAnswer: -2*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14*(-1)\/4*4. Let b = q + -11. Solve b*d - 1 = 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 58.5549 and 84151?\nAnswer: 84092.4451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4407, 4, -4, -1, 6 in descending order.\nAnswer: 6, 4, 2, -1, -4, -4407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -574*s - 264 = -626*s + 48. Let n(v) = 4*v**3 + 2*v**2. Let t(h) = 39*h**3 + 21*h**2. What is s*t(z) - 63*n(z)?\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000207 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94 + -6. Let q = 24 - 13. What is the greatest common divisor of q and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/(16\/(-18)))\/(120\/18) and 4\/225.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 - 10*w - 9. Let p(g) = -3*g**2 + 10*g + 9. Let c(t) = -6*p(t) - 7*u(t). Let j be c(-1). Solve -j*v + m - 13 = 0, v + 10*m - 17 = 5*m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12892880.\nAnswer: 2, 5, 7, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*f - 5 = -5*a, -a = 2*f - 3. Let h(v) = 2*v + 98 - 2*v**f - v**3 - 5*v - 95 + 3*v**3. Let o = 3 - 1. What is h(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101012 - 1001021100?\nAnswer: -1000220011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001486746 rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -34. Calculate the common denominator of 13\/7 and h\/135 + (-686)\/(-72).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19000 and 1900?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 6*h - 9*h)*(-46*h**2 - 27186 + 27186) + (-2*h**3 + 2*h**3 + 2*h**3)*(-3 + 2 + 2) to the form a*h**3 + b*h + i*h**2 + w and give a.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 2\/4 - 1040\/(-32). What is the units digit of (-2154)\/(-11) - (27\/x - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 9 (c) -0.2 (d) 1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (((2 + sqrt(425))*2 - (sqrt(425) + (-2 + sqrt(425) - sqrt(425)) + -2)) + 5 + 0)**2)*2 + -4.\nAnswer: 260*sqrt(17) + 1194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = h - 16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 822347827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 52*k**2 + 14. Let w be a(-5). Let x = w - 864. What is the highest common divisor of 18 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 3*u - 4*x - 183 = -0*x, 41*x = 5*u - 257 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85*13\/(-390))\/((-5)\/70) + 28\/(-21).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -33, 565, -9.\nAnswer: -33, -9, 5, 565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -67*y + 273. Let r be (2\/(-2))\/3*0. Which is the nearest to r? (a) -0.04 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - -16. Let n = f - 43. Calculate the greatest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5836257\/160 - 36476. What is the common denominator of t and 57\/512?\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 15*x**2. Let s(q) = -11*q. Calculate o(s(i)).\nAnswer: 1815*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 512958050 to the nearest integer?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 12:00 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + 550\/(-180))*(-1 + 5). What is the closest to 1 in r, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630 is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**3 - 80*v**2 + 5*v + 348. Let j(g) = g**3 + 27*g**2 - 2*g - 116. Let y(q) = -6*b(q) - 21*j(q). Factor y(r).\nAnswer: -3*(r - 2)*(r + 2)*(r + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140 - 981\/7. Which is the nearest to 0? (a) w (b) 0.3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -3, 141 in decreasing order.\nAnswer: 141, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 - 38*t - 2 + 66*t - 65*t to the form f*t + g*t**2 + i and give f.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6927 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*o + 8*o + 21*o + (3 - 3 - 1)*(o + 3*o - 3*o) + 3 - 3 - o - 84*o - 78*o - 41 + 163*o.\nAnswer: 21*o - 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 127*a - 71*a - 506*a**3 - 59*a - 959 wrt a?\nAnswer: -1518*a**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from uluntuum.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (174\/(-3))\/2*-1. Let n(w) = c*w**2 - 30*w**2 - 2 - 6*w - 2. Give n(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u - 19. What are the prime factors of s(15)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -615.7 - -646. Round w to zero dps.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 4:12 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -61195595.\nAnswer: -61195594.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15\/(((-18)\/(-15))\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5009170\/11 or 455380?\nAnswer: 5009170\/11","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 - 192*t**2 + 7*t + 12. Let d(c) = -3*c**3 - 224*c**2 + 8*c + 13. What is 6*d(r) - 7*y(r)?\nAnswer: -4*r**3 - r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-34870)\/(-14) + 5 + (-2)\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + -26 - -23) + 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 30*c**4 - 71*c**2 + 44*c**2 + 16*c**2 + 14*c**2 in the form m*c + x + f*c**4 + s*c**2 + v*c**3 and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 237 - 235. Suppose 424 = 2*f + o*z - 174, -1511 = -5*f - z. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1288*t + 1868*t + 8120 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1333 (base 5) to base 7.\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*f**2\/17 + 2*f\/17 + 560\/17 = 0. What is f?\nAnswer: -5, 56\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55513 (base 13) to base 14.\nAnswer: -40507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/32585 and -9\/52220?\nAnswer: 48616820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77*z**6 - 6*z**2 + 61 wrt z?\nAnswer: 9240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -38, -105, -230, -431, -726, -1133?\nAnswer: -1670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -0.456.\nAnswer: -4.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (2 + -2)) + (-64 - -23) + -43 + 28.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t = -8034 + 8187. Solve -3*w + t*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-4)*(-80)\/(-50). Solve s*o - 2*o + 6 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2479 + -2284. What is the lowest common multiple of 325 and u?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 9*d**2 - 34*d + 20. Suppose -2*z - 28 = -4*m, 5*m = -z - 5 - 2. Let s be l(z). Which is greater: s or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**5 + 21*c**3 + 649 - 56*c**2 - 661 + 44*c + 3*c**3 + 4*c**4.\nAnswer: -4*(c - 1)**4*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, 21, 50, 101, 180, 293?\n\"Answer: o**3 + 2*o**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -375*p + 297. Let a be i(7). Let g be (-1)\/3 + 24946\/(-6). Let x = g - a. Round x to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 2*b - 21. Let p be z(6). Let j(o) = 2*o**2 + o - o**2 + 0*o + 28*o**2. Let m be j(p). Calculate the highest common factor of 33 and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u + 8. Let o = 24 - u. Suppose 4*l + 10*p - 104 = 9*p, 2*l - 52 = 5*p. What is the least common multiple of o and l?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(85)*4)\/(sqrt(50)\/(sqrt(70)\/sqrt(7) + sqrt(10))).\nAnswer: -32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.58 - -12.98. What is a rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4104 - 4101. Which is the fifth biggest value? (a) 2\/3 (b) -5 (c) 0.02 (d) 15\/8 (e) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 11.76. Let q = v - -0.04. Suppose 3*d + 2 = d. Is q bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/12 - ((-90)\/27)\/5\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0 + 8 = 0. Suppose 0 = -5*k + 1 + 9, -3*n - b = -5*k. Let v(x) = 6*x - 9*x + 0 + 1. Determine v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -168464, -336932, -505402, -673874, -842348?\n\"Answer: -k**2 - 168465*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 216 + -434?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -1)*3\/(-6). Let z(o) = 8*o - 6. Let u(l) = l**3 - 5*l**2 - 3*l - 24. Let f be u(6). Let v(x) = -x + 1. What is f*v(q) + r*z(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 5 - -19) + (105 - 102).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o - 14. Let g be q(-6). Suppose 3*j + 2*j + 3*h = 5, 3*j = -h + 3. Which is the closest to 2\/3? (a) j (b) g (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2355 = 2335, -z = -5*t + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/((-6510)\/225) - (-2)\/4.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 9:21 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-2\/9)*l)\/l)\/l*l**8)\/(l*l*(l**(-1\/3)*l)\/l*l*l**(-3\/4))*((l\/l**(-2\/9))**(-9))**(-41) assuming l is positive.\nAnswer: l**(16463\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p - 14 - 37 + 50. Let n(u) = -43*u**2. Give n(l(v)).\nAnswer: -688*v**2 - 344*v - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 516 + 11795541021.\nAnswer: 11795541537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -31?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**5 + 3*l**5 + 6*l**5 + (-2*l**4 - 5*l**4 + 6*l**4)*(0 + 0 - l).\nAnswer: 7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108919852.\nAnswer: 2, 27229963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttcccttcktkttcttca. Give prob of sequence ca.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3)*f)**17*f**(-7)\/(f*f*((f*f*f**(-1))\/f)\/f*f))**(4\/43) assuming f is positive.\nAnswer: f**(232\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, -84, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2377457561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*l + 5571 = 1059 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, a: 13}. What is prob of picking 4 a?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211011120000111 (base 3) to base 8.\nAnswer: -54742406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18620.9 * -5\nAnswer: -93104.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgggglgsgg. Give prob of picking 1 s and 2 g.\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-11)*x)*x)**(-30)*(x**13\/x)**(6\/29) assuming x is positive.\nAnswer: x**(-10368\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/9 + 206\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10112961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -28902.9 and 0.\nAnswer: -28902.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -170769.\nAnswer: 2\/170769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 51, 55, 59, 63?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21772 or 23485?\nAnswer: 23485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-414)\/184*(-4)\/(-18)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 35 = -47 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 40*a + 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 614597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30673, -30681, -30685, -30685, -30681?\n\"Answer: 2*s**2 - 14*s - 30661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1\/693, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50061\/6460 - -1\/1615. Find the common denominator of 15\/19 and l.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121537*f**2*o**2*s**2 + 2*f**2*s**2 + 14*f*o**2*s - 346*f*o**2 - 2*o*s**2 + 19*s**2 wrt f?\nAnswer: 243074*o**2*s**2 + 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 113*a**2 - 145*a - 147. Give t(-1).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4579358676?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23221 and 17611.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -8*l + 27. Let q(x) = 179*x - 54. Does 20 divide q(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence objy when four letters picked without replacement from {r: 1, y: 3, o: 1, b: 2, j: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -193287, -193298, -193311, -193326?\n\"Answer: -m**2 - 8*m - 193278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -8\/6420829?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1236 and 89160?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, a: 2, p: 2, c: 5}. What is prob of picking 2 a and 2 p?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63346 is divided by 514.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, z: 4, t: 1, u: 5, c: 1}. Give prob of sequence uuu.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**3 - 736694*t**2 + 32038532*t + 16203440 = 0.\nAnswer: -1\/2, 44, 184130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r**(-1\/3)))\/(r*r**29) assuming r is positive.\nAnswer: r**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**3 - 6*s**2 - 4*s - 14. Let j be x(-3). Let u be j\/(-39)*3\/(-16). What is the nearest to u in 0.3, 2\/3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4901?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 1:27 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.3 - 3.3. Let a = -122\/9 + 616\/45. What is the closest to -1 in 2, c, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1397 - 1317) + -88 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v\/v**2*v*v*v*v*v*v**(2\/9)\/v*(v*v**0)**17 assuming v is positive.\nAnswer: v**(200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152 + -150. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 775*p**4 - 700*p + 881*p**4 - 361*p**4 - 2195*p + 210*p**4 wrt p.\nAnswer: 18060*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6786337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67123?\nAnswer: 7, 43, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (-2 - 0) + (2 - (-9 + 10))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 + -32 - 7) + -16?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13636 - 7290. Is i a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32369657 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 484.2 + -495. Let l = o - -10.799999074. What is l rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7310753623 - 7311642792.1270106. Let y = k - -889169. Let g = -0.127 - y. Round g to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(76)*-4 - (sqrt(57)\/sqrt(3) + -2)*-3.\nAnswer: -5*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + (11 + -33 - -34).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 10*w**2 - 285*w - 270.\nAnswer: 5*(w - 9)*(w + 1)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004417779532 to 6 decimal places.\nAnswer: -0.004418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/3*u - 1\/3*u**2.\nAnswer: -u*(u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -1004?\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1379.00534 + -1379. What is u rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*p + 1028 = 0, 4*k - 1010 = -179*p + 181*p. What is the remainder when k is divided by (74 - 0) + 0 + 9 + -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**3 + q. Let t be l(-1). Suppose 0 = f + 5*g - 26, 11*f - 10*f + g = 10. Does t = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 4*j + 2, -13*j - 5 = 3*t - 9*j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -8231 and 3.\nAnswer: -8228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19407977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*6\/(-30)*0. Suppose d = 4*r - 4*n - 20, -4*n - n - 1 = r. Solve -1 = z + 4*b - 0, 3*z + 19 = r*b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 96, -3, -1, -5, -33 in ascending order.\nAnswer: -33, -5, -4, -3, -2, -1, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 33738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 225 - 47. What is the derivative of 14*d - 67*d + c - 73 - 60 wrt d?\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + a = -11, -7 + 3 = 2*a. Solve r*u + 9 = -3*o, -o = 6 - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/24 - (-2278)\/(-3). Let t = 1054 + o. What is the smallest common multiple of t and 33?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 10:19 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3723.747 + -3721. Let h = 0.113 + p. Let k = 0.14 + h. What is the closest to -0.1 in k, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 4*q**2 - 3*q)*(37*q**3 + 25*q**2 - 25*q**2) + (8 - 4 - 2)*(3*q**5 - 2*q + 2*q).\nAnswer: -142*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 1056425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23363935373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 10718851?\nAnswer: 10718851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5439664 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48524 and 9562.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4610)\/3*(-2)\/(-8). Let w = b + 5626\/15. Calculate the common denominator of 37\/4 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 - -31)*(54\/12 + -6 + 3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l + 2. Let y(n) = n**3 + 2*n**2 - 2*n - 3. Let j be y(l). Let r be j\/((-9)\/3)*3. Which is the nearest to r? (a) -0.5 (b) 2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83\/27 - -179\/27. Find the common denominator of g and -28.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -5, -27 in ascending order.\nAnswer: -27, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -48 + m - 18*m**3 + 0*m + 33 + 14*m. Let g = -37 + 36. Let k(n) = n**3 - n + 1. Determine g*d(f) - 15*k(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 749*i + 685*i - i**2 - 2923*i + 744*i + 745*i.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4*(1*sqrt(192) + sqrt(297)\/sqrt(11)))**2 + 5 + sqrt(9)\/sqrt(3) + (sqrt(108) - sqrt(3))**2*6).\nAnswer: -18789 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 2706564?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -122, -109, -82, -35, 38, 143, 286?\n\"Answer: o**3 + o**2 + 3*o - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 6*n**2 + 2*n - 3. Let d be t(-5). Let l be d\/30 + (-16)\/(-35). Which is bigger: -1\/4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -14*l + 20. Let s(v) = 12*v + 2*v - l*v - 3*v. Let k(d) = 2*d. Give s(k(p)).\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26.3, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 216179 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111010 - 1001000011101?\nAnswer: -1000100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + -0.05. Let x = -0.99 - v. Is x not equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/231379872 and 151\/7296.\nAnswer: 925519488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 3)*(-7*o**3 - 4*o**3 - o**3).\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 11*x**8\/56 + 5*x**4\/6 + 8*x + 9. Let z(h) be the first derivative of t(h). What is the third derivative of z(f) wrt f?\nAnswer: 1320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-170)\/100 + 27\/15\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -8, -2\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -26. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 9*t**2 - 14*t + 5. Let i be 9 - (3*(-8)\/12 + 4). Let j be f(i). Solve -j*c = -0*c - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 4, 35, 90, 175, 296?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.376 and 10.\nAnswer: -133.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2598766 divided by 60.\nAnswer: 1299383\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (110 - 12) + 824 + -882\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240389982 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 226?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.077289 rounded to three dps?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/438867 and 25\/4433?\nAnswer: 438867","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 958 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 + -64. Let t be (-1)\/(3\/48*p). What is the highest common divisor of 208 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100537.\nAnswer: 100537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11208378 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + -9 + 8 + 12 - -2) + -27 + 8.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**4\/6 + d**3\/6 + d**2\/2 - 2*d. Let r(j) = 3*j - 3. Let t be r(4). Let x = t - 10. What is p(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7922 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (150\/88 - (-9)\/36) + -2. What is the smallest value in -9, g, -0.2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 8 = 5*r. Suppose -r*b - j + 36 = 0, -b - 3*b + 5*j + 12 = 0. What is the lowest common multiple of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 - 48. Suppose -10*d = t*d - 63. Factor c**2 + 1\/4*c**4 + 0 + 0*c + c**d.\nAnswer: c**2*(c + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(22\/7)*((c**(-2\/5)*c)\/c)\/c**(-8)*((c**(-1\/4)*c)\/c)**(9\/10)*(c**(4\/3)\/c*c)\/(c*c**1\/c) assuming c is positive.\nAnswer: c**(1823\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**5\/30 + 14*x**2. Let z(y) = 2*y. Calculate q(z(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1742?\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = -3*u + 4*r, u = -101*r + 105*r + 136 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1071 divided by 357.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 9. Let i(o) = -o**3 + o**2 - o + 1. Let l(y) = 6*y**3 - 8*y**2 + 4*y - 4. Let g(c) = h*i(c) - l(c). Find the third derivative of g(f) wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -6. Suppose -3*f + 14 = c - 5, -y*f + 67 = 4*c. Suppose 0 = -0*g - 4*g - 2*t - c, -14 = 3*g + 2*t. Which is smaller: -3\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 229*k + 3 = -227*k, -5*h = 5*k + 60 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 1127 - 198 = 0. Let j = g + 270. Let p(b) = b - 1. What is p(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 1\/6, -839005 in increasing order.\nAnswer: -839005, 0.03, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 - 12*n - 2. Let a be w(-6). Let q = -2 - a. Let g(j) = j**2 + 9. Give g(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 + -70.929. Let o = -13.929 - g. Let z = o + 13.99982. Round z to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*18\/(-108)*(-7)\/(-6)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-144)\/90)\/(4\/(-10)). Solve -2*z + 16 = 2*z, -i*g = -z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 82314*n**2 + 3792792*n.\nAnswer: -3*n*(n - 27484)*(n + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -63856877 divided by -11?\nAnswer: 63856877\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -57*b**2 - 20*b + 4. Let p(w) = -30*w - 128*w**2 - 87 - 10*w + 96 + 14*w**2. Let f(c) = -7*j(c) + 3*p(c). Find the second derivative of f(r) wrt r.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 137*s**4\/6 - 401*s**3\/3 - 558*s. What is the second derivative of f(r) wrt r?\nAnswer: 548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 8*c - 6. What is i(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 14. Let k(c) be the third derivative of 2*c**g - 1\/4*c**4 + 1\/10*c**5 - 1\/120*c**6 + 2\/3*c**3 + 0 + 0*c. Give k(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 4*b - 50 + 52, 0 = 5*y - 3*b + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 - 4*s**2 + 7*s**2 - 20 - 2*s**4 - 20 + 3*s to o*s**4 + c*s**3 + x*s + v*s**2 + h and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5 + 6\/5*q**3 + 4\/5*q - 14\/5*q**4 + 0 + 14\/5*q**2 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**9\/126 + q**6\/12 - 39*q**5\/10 - q**3\/3 + 85*q**2. What is the third derivative of j(c) wrt c?\nAnswer: 480*c**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2186 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(192) + 1 + (sqrt(192) - sqrt(192)*-2)*1 + 3*(sqrt(192) - (sqrt(192) + -1) - sqrt(192)) + 2)**2.\nAnswer: -32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6756.5321 + -66.2421. Let y = p - 6737. Let a = y - -47. Round a to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44238?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 118 - 114 + 0*v + 5*v. Let t(g) = -6*g - 3. Let o(n) = 2*a(n) + 3*t(n). Let z be o(-2). Solve 0 + z = 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 434 + -645. Let a be -3 + -2 + (-1 - (b - -5)). What is the greatest common divisor of 250 and a?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56 in -0.53, 1, -76.3, -5, -2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 14. Suppose b*d - 3*l - 7892 = -0*d, -7900 = -5*d - 5*l. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 0. Suppose -75*z + 605 = -20*z. Suppose 3*i = -2*r + 4, 2*r + 23 = i + z. What is the nearest to -0.1 in y, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -764 - -713. Let g = 4.862271 + -55.862601. Let v = g - q. Round v to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (2 - (84 + -42))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-56)\/189)\/((-2)\/9). Let k(c) be the first derivative of -5*c**2 - 6 - a*c**3 + 6*c. Determine v, given that k(v) = 0.\nAnswer: -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 68357 = -4*p + 19992, 3*g - 4*p = 29019. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 - 204 = -n + 2*n, -2*f - 64 = 4*n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -377, -1599, -3651, -6539, -10269?\n\"Answer: -n**3 - 409*n**2 + 12*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.27 decades to months.\nAnswer: 752.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 6 = -n, 1863*n - 1325*n + 5*m + 1619 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1\/2*2\/(-8)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p + 28. Let s be h(7). Let x(t) = -t**3 - 6*t**2 + 5*t + 13. Calculate the lowest common multiple of x(s) and 18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18989.\nAnswer: 17, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -31*b + 70. Suppose -6*i = b*i - 11*i. Let g be (-2 - (-5)\/3)*-12. Solve 2*u - g + 0 = i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -250.5 - -246. Which is the biggest value? (a) m (b) 1\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*u**4 + 308*u**2 + 249.\nAnswer: -12*u**3 + 616*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 300451, 600932, 901435, 1201972, 1502555, 1803196, 2103907?\n\"Answer: 2*a**3 - a**2 + 300470*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bopk when four letters picked without replacement from cbpockuukbpb?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*k**3 + 17*k**3 + 20*k**3 + 15*k**3 + 17*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**8\/112 - f**4\/6 + 5*f**2\/2 - 3*f. Let x(q) be the first derivative of n(q). What is the second derivative of x(r) wrt r?\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) -4 (c) 3 (d) -18.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwwdrrw. What is prob of picking 2 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 - 10*p**2 - 7*p - 24. Calculate the least common multiple of b(6) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 740, -1043, -4018, -8185?\n\"Answer: -596*k**2 + 5*k + 1331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201033312 - -13123?\nAnswer: -201020123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**4*d*d*(d\/d**(-9)*d)\/d)\/(d**(7\/3)\/d*d**(-8\/7)) assuming d is positive.\nAnswer: d**(374\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 b when four letters picked without replacement from {q: 17, b: 3}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/8*(-4)\/6. Let z be (-1)\/24*-8 + 34\/(-48). Which is the closest to 0? (a) s (b) -1\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.27942 milligrams to micrograms.\nAnswer: 34279.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 113 - 29 = -6*p, f + 18 = 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 0*m + 0*m + (-1 + 0 - 1)*(3*m + 3*m - 4*m) + 4*m - m - m + (2*m + 2*m - 2*m + (-2*m - 2*m + 3*m)*(0 + 0 - 2) - m - 2 + 2)*(-21 + 2 + 82).\nAnswer: 185*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - h - 55, -2*s - h = s - 65. Suppose -4 = -3*q + s. Suppose 125 = -3*f + q*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-132)\/(-21) - (-4)\/(-14). Let a(w) = -w**3 + 5*w**2 + 7*w - 5. Let m be a(r). Let j = 12 - 7. Solve -j*s + m = -4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7314)\/263304)\/((-3)\/16)?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 80.6, 0.2, -2\/3, -2, 19, 48?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/55 + (-4)\/44*-4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2578 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/96253 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 0, -58, -1 in ascending order.\nAnswer: -58, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a centimeter?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 7*d**2 - 4*d + 4. Calculate i(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*u + 29*u + 0*u + 1960 = 0 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 32. Let g be j(-27). Suppose 163 = -3*q + 2*s + 3*s, g*q + s + 225 = 0. Sort -3, q, -1, -4 in ascending order.\nAnswer: q, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.3 to 0 dps.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 827.1909g?\nAnswer: 827190.9","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 12*h**2 + 10*h - 13. Let v(b) = b**2 + 24*b - 10. Let q(m) = -12*m + 5. Let i(u) = -5*q(u) - 3*v(u). Let g be i(-5). Does 8 divide a(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 7*a**3 - 20*a**2 + 11*a - 289. Is p(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 12784\nAnswer: 3\/12784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.6612*-0.073.\nAnswer: 0.6322676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 2. Let o be g(0). Suppose 5*s - 2 = -q - 56, -o*q + 12 = -2*s. Let y be s\/15 + 34\/6. Solve 5*i = -y*f - 40, 2*f + 2*f + i = -17 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k + 28*k - 5*k - 27*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33790.37 days to milliseconds.\nAnswer: 2919487968000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 252? (a) -10\/21 (b) 0.06 (c) -6 (d) -0.3 (e) -3 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.44463 rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*b - 317*b - 18 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001064978579 to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6\/13, 29\/4, -13, 3 in descending order.\nAnswer: 29\/4, 3, -6\/13, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 2 - m)*(4 - 2*m - 4) + 2*m**2 + 2*m**2 - 5*m**2)*(-331 + 161 - 385) in the form u*m + g*m**2 + j and give g.\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716711?\nAnswer: 163, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Suppose -m*g = -4*l - 8, -l + 9 = 5*g - 0*g. What are the prime factors of 153\/6 - 1\/g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.4, -34, -3\/5, 3\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4*g = -18, 51*g - 8 = -4*o + 47*g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**43*(n**(2\/5))**(-17) assuming n is positive.\nAnswer: n**(-464\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*c, 3*g - 2*c = -0*c + 23. Suppose -g - 5 = -a. Suppose 2*w = -2*z + 30, 0 = -4*w - a + 30. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 3) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255 + 144 = 33*j + 3 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 12*v + 18. Let r be g(-13). Let o(x) = -3*x**2 - 2 + x**3 + 0 - x - x**2. Is o(r) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 241 (c) 620\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3))**39*(u**(-1\/3))**(9\/10))**(15\/7) assuming u is positive.\nAnswer: u**(381\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 216339*b + 147316?\nAnswer: 216339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 11*d - 40. Let f be c(-3). Suppose 36*z - 33*z - f*s + 5290 = 0, s - 5288 = 3*z. Round z to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 0 - 7*(-1)\/(-7). Solve -5*i - 20 + 0 = y, 2*i + 4 = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*n + 14 = 0, -35 = -5*t - n - 2*n. Let -4\/13*h**2 + 2\/13 + 0*h**3 + 0*h + 2\/13*h**t = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 237*c**3 + 54729*c**2\/4 + 42660*c + 32400.\nAnswer: (c - 120)**2*(2*c + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x - 31. Let d(w) = -w + 21. Let k(z) = -8*d(z) - 5*s(z). Let m = -14 - -19. Calculate the smallest common multiple of k(-12) and m.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d**2 + 5*d - 5*d + 2*d**2 as w + s*d**2 + o*d and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 34196*m**3 + 11 - 95191*m**3.\nAnswer: -129387*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000726 rounded to seven decimal places?\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41.7 + 26.5. Let h = a + -68. Sort 0, 0.01, h in descending order.\nAnswer: h, 0.01, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 40 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 22 = 3*d - 4*s, 3*s = d - 5. Suppose d*t - 129 + 33 = 0. Calculate the highest common factor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20226 from 4.\nAnswer: 20230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 452605 and 201085?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 26*f + 2. Suppose -6*y + 2*y = -52. Calculate the lowest common multiple of (-12)\/(-1) - (0 + 2) and t(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 5:20 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -18, 23, -2\/27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 33*r + 78.\nAnswer: -3*(r - 2)*(r + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 1)*(-2 + 0 + 0) + 2 - 1 + 1)*(5 + 3*s - 2*s - 3*s).\nAnswer: 4*s - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4375 and 7204375.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 5*b**2 + 2*b + 4. Suppose 4*v - 19 = m, -m + 1 = 2*v - 4. Let k be w(v). What is the remainder when 58 is divided by (k - -1)\/3 - -16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (618 + 205 - 124 + (4 - 4 - 2)*(-6 + 3 + 4) + 1 - 1 + 2)*(-2*h**2 - 3*h**2 + 0*h**2) to the form v*h + m*h**2 + q and give m.\nAnswer: -3495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1667*w - 5*w**2 - 1799*w - 6*w**3 - 1049*w + w**3 + 1.\nAnswer: -5*w**3 - 5*w**2 - 4515*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121943460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 + 2*b**2 - 4*b - 7. Determine p(3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*o**3 + 31*o**2 + 15*o + 75*o**4 - 15*o - 78*o**4 + 6 wrt o?\nAnswer: -72*o + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.0358 + -0.0058. Let a = 0.03 - f. Let p be 1 + 3 + (-77)\/22. What is the closest to p in -3, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4278.95886 - -4279. What is a rounded to 3 decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b - 265*b = -1392 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 16*f**2 - 8*f + 217. Let g be r(-17). Solve -g*b + 48*b = 96 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 146170217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125016*d - 249702*d + 124685*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4696 and -1146050718?\nAnswer: 1146046022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*q**3 + 4*q + 3*q**2 - 20*q - 4 - 2*q**2 - 29*q**3 - 30*q**3 wrt q?\nAnswer: -114*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 32021938?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 99*m - 2014. What is u(116)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-6) + 4\/8*-1. Solve 2*h - 4*v = -8, 2*h - 20 = -3*v - d*v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 257345?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/3, 3, 0.29, 2\/23, 48.\nAnswer: -0.1, 2\/23, 0.29, 1\/3, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-10)*10\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 0, 47, 22, -1, -552 in descending order.\nAnswer: 47, 22, 5, 3, 0, -1, -552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*a + 65*a - 1, 5*b + 4 = -4*a. Is b smaller than -40\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/4))\/l)\/(l*l**4\/l)*l**5*l\/l**5*(l**(3\/7)\/(l\/(l*l*l\/(l**(-2\/5)*l))))**10 assuming l is positive.\nAnswer: l**(435\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {j: 5, f: 14}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28215?\nAnswer: 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7021929 and -48.\nAnswer: -337052592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 14 (c) -1\/3 (d) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(11 + (-28)\/56).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 14 = 7*c. What is the second derivative of -2*n**5 + n**c + 15*n**2 - 171*n + 89*n wrt n?\nAnswer: -40*n**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssssssxssssssss. What is prob of sequence sx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, f: 1, x: 1, n: 2}. Give prob of sequence nn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 9:37 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.77 - -0.97. Let r = -0.04 + -0.96. Which is the third biggest value? (a) -0.4 (b) r (c) w (d) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -492601 or -492565?\nAnswer: -492565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q - 9. Let w(f) = -f + 2. Suppose i - 52 = -3*i + 4*j, 0 = -i - 5*j - 11. Let g(p) = i*w(p) + 2*k(p). What is the units digit of g(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 19*g**2 - 37*g - 35. What is the tens digit of q(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 292 = 319. Let y(m) be the second derivative of -1\/6*m**w + 0 - 13*m + 0*m**2. Let l(j) = j**2. Calculate y(l(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 289, 1165, 2625, 4669, 7297?\n\"Answer: 292*u**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxxx when four letters picked without replacement from xxxxyxxxxxxx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 344329483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 1:16 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 6*w**2 + 5*w + 69. What is the remainder when 93 is divided by m(7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 43 = 13. What is the units digit of (-133)\/(-38)*8\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -3 + 2)**2 + -5 - (4*sqrt(95)*-2)\/((sqrt(20) - sqrt(20)*2)\/sqrt(4)).\nAnswer: -14*sqrt(19) + 167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2776*d**2 + 5553*d**2 - 3123*d**2 + (6*d - 2*d - 2*d)*(2*d - 3*d + 2*d).\nAnswer: -344*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/9 of a week in minutes?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9727 and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + s**2)*((-s + s - 2*s**2)*(2 - 5 + 4) + 7*s**2 - 12*s + 12*s - 84*s**2 - 54*s**2 + 75*s**2) as j*s + k*s**2 + o*s**3 + p*s**4 + a and give p.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 - 3*q**3 - 13 + 48 + 45 + 2*q - 34 in the form z*q**2 + f*q**3 + l + k*q and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3844797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from {r: 4, v: 2, x: 1, o: 2, i: 1, a: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Suppose g - k = 3*k - 12, 8 = -4*g - 4*k. Sort g, 5\/6, 2\/11 in decreasing order.\nAnswer: 5\/6, 2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eggt when four letters picked without replacement from gitzzgde.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011110101100011 + -100011?\nAnswer: -1000011110110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148152069?\nAnswer: 3, 13, 31, 40847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 30*u - 33*u. Let l be (14\/3)\/(-7)*45\/u. Solve 6 = -t + l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2 + 715*h - 39300 = 0?\nAnswer: 60, 655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -317, 0.3, 3, -12, 0.5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148561 by -5.\nAnswer: -148561\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -489 (b) -0.5 (c) 10.7 (d) -0.024\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64764421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 130\/4 - 21\/(-14) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-11\/6))**(-5)*(r\/r**(-3)*r)\/r**(2\/17) assuming r is positive.\nAnswer: r**(1433\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-98))\/((-1)\/49) - (-16)\/4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/168 and -17\/84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-4)*5\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 595 + 656. Suppose 22*o - 25*o = -t. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -5870.\nAnswer: -58700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 4 - 4)*(-2*v + 1 + 0*v + 3*v).\nAnswer: -2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15620639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -3 (c) 217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -8 - (-1 - -6)) + -6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9827 a multiple of 317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -2644 (c) 0.07 (d) -1 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 5*s + 3. Let d be x(6). Solve -d = -3*u, 5 = -w + 2*u + 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314041699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 + a + 1. Let z(l) = 5*l**2 - 6*l - 3. Let h(r) = -2*b(r) + z(r). Determine h(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 1. Let v be (-1)\/(-4)*(-8)\/4 - -4. Let n(u) be the first derivative of v*u**2 + 7*u - 2. What is 6*k(g) + n(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -557 or -519?\nAnswer: -519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 7. Let m = 8 - n. What is the smallest common multiple of 22 and m?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22379 and 24150?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28318570.\nAnswer: 2, 5, 7, 57793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.8945.\nAnswer: -3.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - s**2 - 3*s. Let x be 1\/4 + 14\/8. Suppose 1 = -b - 2*b + x*v, -5*b = -3*v. What is q(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(8*v + 0*v**5 - 2*v**5 + 3*v**5) + (-2*v**2 + 0*v**2 + v**2)*(2*v**3 + 1 - 1).\nAnswer: -4*v**5 - 16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3064*k - 7. Let j(a) = 512*a + 1. Calculate 2*c(b) + 13*j(b).\nAnswer: 528*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*k - 126*k - 1040 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(16)\/sqrt(2)*1)\/(5*1*sqrt(16)\/sqrt(4)).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85327820.\nAnswer: 2, 5, 4266391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.5 (c) 7707\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -10. Let v = -7.5 - -1.5. Let r = v + l. Which is bigger: 20 or r?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 19*i**3 + 97*i**2 + 11*i + 1. Determine p(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 0*t**3 + 1 + 4*t - 5*t**2 + 0*t - 11 - t**3. Let o be m(-6). Let p(g) = -3*g**o - 2 + 30*g - 3*g**2 + g**3 + g**2 - 24*g. What is p(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933643380?\nAnswer: 2, 3, 5, 15560723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 12106 + 11113 = u, 25 = 5*u. Is 106 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-12) + -1 + 50692\/24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 7. Suppose d = 2*q + 9 + 7. Let t be (414\/6)\/((-6)\/q). Calculate the highest common factor of 23 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/4, -45, -2\/107, -0.4, 0.3.\nAnswer: -45, -0.4, -2\/107, 0.3, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 656, 595, 472, 257, -80, -569, -1240, -2123?\n\"Answer: -5*t**3 - t**2 - 23*t + 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/4 + 22631*p\/2 - 362352 = 0.\nAnswer: -45294, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 288199727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703259 is divided by 261.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(110) + sqrt(110)*-2 - sqrt(110)) - (((sqrt(110)*2 - sqrt(110)) + sqrt(110) - sqrt(110))*-6 - sqrt(110)))\/(sqrt(1210)*-2*2*-4).\nAnswer: 3*sqrt(11)\/176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f**(4\/9)*f)\/f)\/f)\/f**(-1\/6))\/(f\/(f*f**(2\/3))*f**(2\/51)*f))**(-15) assuming f is positive.\nAnswer: f**(1165\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4\/2 - 9687*w**3\/2 - 31220985*w**2\/2 - 33289880725*w\/2 + 304695025875 = 0. What is w?\nAnswer: -3235, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r**2 - 8*r - 11. Calculate f(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**5 + 26*x**4 - 141*x**3 - 364*x**2 - 196*x = 0?\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3173, 0, 1\/6, 1\/3, 3, 0.06, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -17.4. Let i = -262 + 1831\/7. Sort i, d, 0.1.\nAnswer: i, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*y - 4*t - 28, -3*t - 24 = -4*y. Suppose -2*u - y*u = -20. Let q be 0 + (1 - (2 - u)). Solve q*j = j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**6\/120 + n**5\/15 - n**4\/4 - n**3\/2 + 2*n**2. What is the least common multiple of ((-2)\/7 - 1422\/(-126))\/1 and j(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (0 - 2))*0. Suppose -b + 2 = -p. Let o(v) = -b*v - 1 + 3 + v. Let f(c) = -c + 2. What is -4*f(i) + 3*o(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254\/(-2286)*(-9)\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -8.5. Let p = j + -2. Let r = 45.8 - 45.3. Sort r, p, -2 in descending order.\nAnswer: r, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 9*v - 4. Let l be s(-9). Let p = 20 + -35. Let d = p - -12. Which is the third biggest value? (a) l (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y. Let m be -8*1\/2*-1. Let o(k) = -m + 3 + 1 - 4*k**2. Calculate u(o(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6 = -0. Suppose 9 = -q*h + 23. Suppose 0 = t + 2*s - h, -s = 3*t - 0*s - 21. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7716583*-0.1\nAnswer: 771658.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -252*g*p**3*q - 3*g*p**3 - 7*g*q + 4*g - 2*p**3 - 459*p + 4*q**2 wrt q?\nAnswer: -252*g*p**3 - 7*g + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 712315901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9102 + 3082*a**2 - 3082*a**2 + 5*a**3 + 9102.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**5\/7 + 129644*s**4\/7.\nAnswer: -2*s**4*(s - 64822)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/17 (b) 3\/2 (c) 0 (d) 1.09 (e) 37 (f) 44 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mun when three letters picked without replacement from {m: 1, u: 3, n: 1, a: 7, f: 2}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-12))**(-1\/10)*((w*w**(-23))\/w)\/(w\/w**(-3\/4)))**(1\/9) assuming w is positive.\nAnswer: w**(-157\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161189\/16309 - 461\/47. Let d = 8372\/8675 + s. Find the common denominator of d and ((-2)\/6)\/((-6)\/177).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101110110 - -101000111001?\nAnswer: 1010110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 13*g - 13. Suppose -4*b + 11 = -3*b. Let q be l(b). Does 10 divide (2 + q\/3)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 620728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3720 and 1872.\nAnswer: 290160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 45 = -9*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -10. Suppose 8*u - v*u = 200. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88550.31 micrograms to kilograms.\nAnswer: 0.00008855031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.18, -3 in decreasing order.\nAnswer: 11, -0.18, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3 = 0, 16 = 2*z - 4*z - 2*b. Let m = 16 - z. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (204 + 640 - 2095 - 1191)*(-b - b + 4*b) to j*b + y and give j.\nAnswer: -4884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.882 - -1.922. What is the closest to 3 in -5\/4, 1, a, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-10 + (-3 - -8)). What is the second derivative of -4*r**4 - 14*r**l + 5*r - 58*r + 5*r**4 wrt r?\nAnswer: -156*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(152) - sqrt(152)*-4) + sqrt(152))\/sqrt(8))**2 - -6*(sqrt(19)*-1 - sqrt(19))) + 2 + (2 + sqrt(57)\/sqrt(3)*-4)**2.\nAnswer: -28*sqrt(19) + 994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4*o - 192, 19 = -2*z + 5*o + 150. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/(-4) - 21\/14. Let p be 23\/r + (-2)\/(-7). Find the common denominator of 121\/18 and p\/(-4)*(-470)\/(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 v, and 1 d when three letters picked without replacement from rvhdlwvrvrdvdhvrvrwr.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 720542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x + 148*x + 44*x.\nAnswer: 187*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-86)\/(-2 - -4). Calculate the remainder when (5*-1)\/(2\/(-10)) is divided by (3\/2)\/(-3) - (-330)\/i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -619521 divided by -131.\nAnswer: 619521\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*g**3*q*r**2 + 8*g**3*q + 2*g**2*q*r**2 + g**2*q*r + 3*g*q*r + 17*q*r**2 - 6*r wrt r?\nAnswer: -46*g**3*q + 4*g**2*q + 34*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 - 18*s + 18. Suppose i + 8 = 2*i. Does 11 divide c(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26232*z + 2 + 26227*z - 2 - 52460*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -84445980 rounded to the nearest one hundred thousand?\nAnswer: -84400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425*x - 2051*x + 490*x.\nAnswer: -1986*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2) - (-1001)\/2. What is f rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i + 4688. Let y(g) = g**2 - 13*g. Give s(y(r)).\nAnswer: 2*r**2 - 26*r + 4688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1. Let m = 7 - 9. Let x be 2\/(-2 - 5\/m). What is the second biggest value in x, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*h + 9 = 0, 0*s + 28 = 4*s + 4*h. What is the remainder when s is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + -1 + (0 - -1)*1. Let j(l) be the first derivative of -l**2\/2 + 9*l - 1. Calculate j(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88658 + -61269. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 4. Let j be i(6). Let g be (-3 + j\/6)*1. Let u = -0.5 + -4.5. What is the third smallest value in u, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119103, 238207, 357311, 476415, 595519?\nAnswer: 714623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 30 = c. Calculate the remainder when 22 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42660 <= -42659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18, -23, -32, -45, -62, -83?\n\"Answer: -2*h**2 + h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*f = 57*f - 168. Put -6, 2, f in ascending order.\nAnswer: f, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 53 = -668. List the prime factors of y.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -5. Suppose -k - 2 + 4 = b. Suppose 46 = 4*l - k*y, -l = 3*l - 5*y - 37. Solve -3*c + 5*d + l = 0, 4*c - 4*d = c + 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 604469 - 29324. Let o = b - 919061\/8. Let x = o - 146. Is 1 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u + 22*u - 1 + 8 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 51, 112, 197, 306?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7 + 3*y**2 + 2*y - 4*y**2 + 3 + 0*y**2. Let t be (-7)\/(-5) + 2\/(-5). Suppose t = -5*w + 16. Give x(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-3 + -2 - -4). Suppose 46 = 3*j - 2*g, j - l*g - 56 = -2*j. Suppose -j = -24*x + 18*x. Solve -5*a + x*y + 17 = 0, 0 = -3*a - y + 20 - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**6\/105 - f**5\/35 - f**4\/42 - 18*f. Factor j(n).\nAnswer: -2*n**2*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from oeec?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -28.38261.\nAnswer: 2.838261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - v - 9, 6 = -2*v - 0*v. Suppose -2*z + 3*z - u*y - 31 = 0, 0 = 3*z - y - 85. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 10*o = 4*d + 9472, 3*d - 18977 = -4*o. List the prime factors of o.\nAnswer: 2, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1070.\nAnswer: -1\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91*i**4 - 577269*i**3 - i**2 - 217009744.\nAnswer: -364*i**3 - 1731807*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 6*l**2 - 7*l. Let a = -13 + 16. What is the units digit of n(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.082702*0.114\nAnswer: 0.009428028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1 + 5 + 2*q + 20*q**2 - 1 - 17*q**2. Let a(o) = 2*o**2 + o + 2. Let g(w) = -4*a(w) + 3*i(w). Let f be g(3). Solve -k - f = -5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 530\nAnswer: 3180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b + 10. Let f(o) = 1. Calculate -f(r) - s(r).\nAnswer: -3*r - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2172 divide 21861117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/22 and -1\/4338?\nAnswer: 47718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 26. Let z = r - -12.6. Which is the third smallest value? (a) 3\/2 (b) z (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 17. Let u = 10 - 9. Let f be 725\/45 + u\/(-9). What are the prime factors of a(f)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 3*y**6\/40 + y**5\/60 - y**4\/24 - y**3\/6 - 404*y**2. What is v(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.869754us to minutes.\nAnswer: 0.0000002144959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c*x**4 - 2*c*x + 1017*c - 22*x**4 + 25*x**3 + 6*x**2 + 3 wrt x.\nAnswer: -48*c*x - 528*x + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.87646 + 8.89. Round f to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**5\/5 + g**4\/12 + 5*g. Let m be j(-1). Solve 0*v - v = -m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -63325*h + 2786268. Give q(44).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -2\/3, -2\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 14) to base 10\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 5:33 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (sqrt(343) + sqrt(343)*-1))**2 + -1*(sqrt(112))**2.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 a factor of 49705113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 49.1 and -1\/102 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -159651 (b) 5\/2 (c) -5 (d) 0.26 (e) 5 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c\/(c\/c**(-1)))\/c)\/((c\/(c*c**(-2\/7)))\/c*c))\/((c**1\/c*c)\/((c**(-1\/2)*c)\/c)))**22 assuming c is positive.\nAnswer: c**(-429\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmb when three letters picked without replacement from {b: 4, m: 6}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -223 greater than or equal to -223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -5545*a**4\/12 - 37*a**3\/6 + 8*a**2 + 1957*a. Find the second derivative of f(n) wrt n.\nAnswer: -11090","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccaaadccuafcfic. What is prob of picking 2 f, 1 c, and 1 i?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 6 = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 72696069?\nAnswer: 218088207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**6\/135 + 4*u**5\/45 - 4*u**4\/9 + 32*u**3\/27 - 16*u**2\/9 + 15*u. Factor z(v).\nAnswer: -2*(v - 2)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**3\/3 + 2*c**2\/3 + 3*c - 6 = 0.\nAnswer: -3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 32 (b) 3\/4 (c) -441 (d) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 6*d**2 + 5*d - 5. Let n be l(-5). Let x(k) = -387*k - 382. Let u be x(-1). Let h be (-2)\/(-8) - (-7)\/4. Put u, n, h, -1 in ascending order.\nAnswer: n, -1, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -4, -2\/3, 2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-seven halves of a microsecond?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 931 - 928. Let b = 0.2 - 0.2. What is the closest to b in c, 0.5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 2272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -47.62 and -6?\nAnswer: 41.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-22635)\/(-60)*((-1)\/(-6))\/(1\/16) is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 1\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -47. Suppose z*v = 4*g + 52, -4*v + 48 = -2*g - 10. Differentiate 29*s**2 - 13*s**2 - 25 + 25*s**3 - v*s**2 with respect to s.\nAnswer: 75*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (45\/66)\/(204\/374). Factor 7\/4*h**2 + 11\/4*h + k + 1\/4*h**3.\nAnswer: (h + 1)**2*(h + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 5. Let c be x(-4). Suppose -13 = -2*t - c. Suppose -8*b + 138 = -t*b. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 2:33 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Let q(f) be the first derivative of -f**3\/3 - 5*f**2 - 13*f - 7. Let i be q(-8). Solve -v*d + 1 = -i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 375476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(91) + -1*sqrt(91) + sqrt(91))\/sqrt(7)*4*1 + 4)**2 + -2)*6.\nAnswer: 768*sqrt(13) + 20052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 777929 to the power of 1\/2, to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1538574055 to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -49, -2, 11, 4, 5 in increasing order.\nAnswer: -49, -2, 4, 5, 11, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 11:45 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 1353 - 1373 = -3*a, -k = -4*a + 15 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -19.2 * -25293\nAnswer: 485625.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 156 - 153. Which is the smallest value? (a) 1\/4 (b) l (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11\/58 + -2\/29. Let r be -24*(-561)\/39 + 0. Let w = r + -70911\/208. Find the common denominator of w and f.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n**3 - 96*n**2 + 26*n - 118. Give g(14).\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -233*j**5 + 3*j**4 - j - 15 wrt j.\nAnswer: -4660*j**3 + 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/20*5 - 7. Suppose -c = -5*c + 8. Calculate the remainder when q\/(-2)*4\/2 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1402343 (base 5) to base 7.\nAnswer: 146004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*l + 16 = 0. Let s be 2*(-3)\/l*17\/(-51). Is -1418*(1\/2)\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1029500*q**5 - 6*q**2 + 20*q + 389?\nAnswer: 61770000*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295808492.\nAnswer: 2, 7, 19, 79433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 5. Suppose -2 = 5*v + 3. Let h(t) = t**3 - t + 1. Let o(b) = 10*b**3 - 12*b + 12. Determine a*h(i) + v*o(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28452235027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*t + 7*t**2 - 88*t.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 11*q**2 + 6*q - 8. Let n be c(11). Let l = n - 233\/4. Sort 5, l, 3\/5 in descending order.\nAnswer: 5, 3\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290217257 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, 1, -4, -21029, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000110101111110110000 + -10010000?\nAnswer: 11000110101111100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-12) - ((2239490\/33)\/(-5) - 5).\nAnswer: 2, 3, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqjzqqzqbqvbbeqv. Give prob of picking 1 b and 2 v.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 161676*g**2 - 7092849 wrt g?\nAnswer: 323352*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - 7*m + 3*m)*(-1 + 2 + 2)*(-24*m + 8*m**2 + 183 - 183) in the form p + t*m + d*m**3 + i*m**2 and give i.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1 + 25 = 0. Suppose -2*o = -w - 0. Let m(a) = -a**3 + a**2 + 4*a + 2. Let u be m(-3). Solve -5*i - o = -u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awiammmazazna. What is prob of picking 3 a and 1 z?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -183106031*o + 224751821 with respect to o.\nAnswer: -183106031","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-six fifths of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 3 - 3)*(49 - 49 - 74*m + m - 6 + 6 + (3 - 4 + 2)*(m - 2*m - m) + 0*m + m + 0*m + 2*m - 2*m - 2*m) as g*m**2 + k*m + x and give g.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d\/d**(-4))\/(d**(-2\/25)*d))**(2\/9) assuming d is positive.\nAnswer: d**(304\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8702 by -229.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (((-679)\/56 - -6) + -2)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxzaxzzz. What is prob of sequence xx?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/8, -11.05.\nAnswer: -11.05, -0.2, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 174*c - 175*c - 9, 3*n = 5*c - 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 0*f - 8. Let d = f + -20. What is the common denominator of 18\/28*(-84)\/d and -27\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4300978 decades?\nAnswer: 51.611736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 402 = -8*j. Let a = j - -72. Solve -2*n = -r - 5 - 1, -4*n = -a*r - 18 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.9 in -26, 9\/8, 1, 0?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-35) + -1 - 66\/28?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -332931200*q. Let r(n) = -n**2. Determine r(z(c)).\nAnswer: -110843183933440000*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 1408 + 1022. Calculate the greatest common factor of g and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19865606607 + 0.3\nAnswer: 19865606607.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**4\/6 + 25*u**3 - 2654*u**2\/3 - 4081*u + 29645\/6 = 0.\nAnswer: -5, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**4\/72 + 17*j**3\/36 + 5*j**2\/2 + 2*j + 111. Factor y(c).\nAnswer: (c + 2)*(c + 15)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 33.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 240514?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151187930 by 4877030.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 5*b**2 + 5. Let s be (8 + -9)*1*5. Let o be f(s). Suppose -r + o*r = 40. Solve -26 + r = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 39. Suppose s*f = 23 + 1. Suppose -2*v - 4*n + 6 = -f, -4*v + n - 3 = 0. Solve v = -2*c + 4 + 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/3 + 23438*q**3\/3 + 39052*q**2 + 187432*q\/3 + 93712\/3 = 0. Calculate q.\nAnswer: -11714, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.749 greater than 6\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4849 a factor of 5435345929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1851977\/3 or 617325?\nAnswer: 1851977\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-30) + 288\/(-4185)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*t + m, 4*m = -8 - 0. Let q = -5 + t. Let x(j) = 7*j**2 + 2. Is 14 a factor of x(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 29*k**2 - 414*k + 7727. What is the thousands digit of x(18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w + 0*w - 2*w + 5*w.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/5, -7, -19 in increasing order.\nAnswer: -19, -7, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15691167 to the nearest integer?\nAnswer: 3961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1321567465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 73*i - 74*i. Suppose -i*g + 0*o = 2*o - 294, g + 2*o - 151 = 0. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: 22 * 2\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 8*t**2 - 7*t - 2. Let x be 1\/(0 + (-1)\/7). Let d be v(x). Let q(z) = 2*z**2 - 3*z - 3. Calculate the remainder when q(d) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 9:16 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -291 - 10?\nAnswer: -2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3 = 3*g, 3*g + 3*r = r - 5. List the prime factors of 128\/(-2*(-4 - g)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*a + 10 = 1, t + a + 6 = 0. Let n be (-2 + 17)*10*t. What is n rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2 + 2*q**3 + 3 + 6*q**2 - q**3 + 5*q. Let j = 13 + -9. Suppose j*g - 3 = -7, 0 = -2*z - 4*g - 14. Give c(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -5*q**3 + 197870*q**2 + 99066080*q + 12322326400 = 0.\nAnswer: -248, 40070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0021 - -0.9979. Which is the nearest to -2? (a) h (b) -0.5 (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s - 4. Is 14 a factor of a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30736206 rounded to the nearest 1000?\nAnswer: -30736000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 + 124 - 1901*h**2 + 211*h**2.\nAnswer: -1690*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 7*k**2 - k - 3. Let c be u(-7). Suppose 12 = 12*o - 12. Solve -o*r + 10 = -c*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15043374.358 to the nearest 100000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6099 and 57459.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -6399504912.71.\nAnswer: -6399504913.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((1 + sqrt(567))*-4 + sqrt(567) - (sqrt(567) + sqrt(567)*-1 + sqrt(567))*-5)**2 + 6*-1*sqrt(567)*-5 + 5)*2.\nAnswer: 252*sqrt(7) + 4572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 217, 4, -163, -2\/355?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**5\/30 - 3*v**4\/8 - 7*v**3\/6 + 3112*v**2. What is s(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -144 + -37 + 19 + -4.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -811 = -3*j - 772. Solve 0 = -3*v + j*v + 20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 81.\nAnswer: -26\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h**4 - 375*h**3 - 3780*h**2 - 4860*h = 0.\nAnswer: -18, -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -16. Suppose 2*a - n*t - 22 = 0, 2*a - a + 5 = -2*t. Solve u = a*u - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01 and -0.0269700413.\nAnswer: -0.0169700413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 t when four letters picked without replacement from {f: 2, i: 8, s: 4, t: 2, n: 3}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -r - 7, -3 = -0*r + r. Solve 2*s = y*n + 8, -9 + 1 = 2*s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -40, -69, -98, -127, -156?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1734176 is divided by 867065?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.04 (c) 0.076 (d) -1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 - s**3 - 2*s + 2*s**3 + (-4*s**2 + 3*s**2 + 2*s**2)*(0 - s + 0) - 3*s**3 - 10*s**3 + 4*s**3 + 0*s**3 + s**3 + 3*s**3 - s**3 - 2*s**3 + s**3.\nAnswer: -5*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/(-42))\/((-1)\/(-7)*546\/(-1404)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*(-11)\/((-44)\/(-13592)). What is x rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/6*(-4 + (-85)\/(-22)). Let r(d) = -17*d - 36. Let p be r(-3). Which is the smallest value? (a) t (b) 7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2394*z - 126885. Determine y(-53).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3*(sqrt(832) + -1))**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (sqrt(228) + 4*sqrt(228)))*-3)\/(-2*sqrt(192)).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1\/3, 54\/5?\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 268 and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 606452 divided by -55132?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 + -115. What is the derivative of 2194 - a**c - 2170 + a**3 - a**3 wrt a?\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*b - b. Is -4 - (-2)\/(b\/2679) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115\/2 + -57. Which is the closest to j? (a) -1 (b) -7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.303 - -45.5?\nAnswer: 47.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 + 4*f**4 + 8*f**4 + (-2 + 2 + 1)*(0*f**4 - 5*f**4 + 3*f**4).\nAnswer: 7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -381457 + 778251. Suppose 2*z - 23206 - h = 0. Round z to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 997 - 962. What is the remainder when 311 is divided by b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y + 5. Let h be w(-4). Let r(i) = 7*i**3 - i**2. Let m be r(1). Let l be 2\/m + 2\/(-6). Sort h, 1, l in decreasing order.\nAnswer: 1, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (122\/(-1281))\/(24\/21)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4 + 1. Suppose -3*b - 2*z = -42, -j*z + 20 = 2*b + 3. What is the smallest common multiple of 52 and b?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62\/45 + -16\/9. Let i = -0.1 + 0.1. Let j = -0.1 - 2.9. Which is the nearest to m? (a) i (b) -0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 0.25602?\nAnswer: -1.25602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83\/114 + 5\/6. Let q = -0.2 + 0.4. Let i = 17 + -16.5. Put q, i, z in decreasing order.\nAnswer: i, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*n**3 + n**4 + 23*n + 5*n**4 - 24*n + 6*n**3 wrt n?\nAnswer: 72*n**2 - 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**2 - 31*b + 52. Let z be p(4). What is the highest common divisor of 7808 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whmmmmmmmmhhmmm. Give prob of sequence hhmh.\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 883565.397 - -1.1?\nAnswer: 883566.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - x**2 - x**2 + x**2 + 18 + 170 - 6*x in the form z*x + y*x**2 + i and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 18*z - 16*z. Suppose -86 = 7*o + z. Is -64\/3 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -1 + 28 + -238 + 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1988 and 2515814.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 34*m - 59. Calculate g(31).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*r - 936 = -113*r + 93*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/239 and (-1)\/(-12)*(-2)\/4*-3.\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -112672 and 29.\nAnswer: -3267488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(5 + -1) + -1. Let z(b) = -55*b + 7. Let d be z(-1). Suppose -3*x + 4*g - d = m, 5*g + 115 = -x - 4*x. What is x rounded to zero decimal places?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4988833*g - 6191946 wrt g?\nAnswer: -4988833","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -227, -217, -195, -161, -115, -57, 13?\n\"Answer: 6*v**2 - 8*v - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bdqubbdbddqqd?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140582, -140576, -140570, -140564, -140558, -140552?\nAnswer: -140546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 434 divided by 91156\nAnswer: 217\/45578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwc when three letters picked without replacement from cowrbccoc.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1389, -5, -6 in decreasing order.\nAnswer: -5, -6, -1389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*b - 1)*(-b - 163 - 167 - 2*b**2 + 334) + (2*b + b - b)*(4*b**2 - b**2 - 2*b**2) - 4*b**3 + 5*b**3 - 5*b**3.\nAnswer: -8*b**3 - 3*b**2 + 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*u - 2, -u - 1 = -k. Suppose -m + 6 - k = 0. Let t be 164\/m - 12\/18. Round t to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 808390 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26137 and 3717?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/167 and 1828\/49 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -55, -151, -337, -643, -1099, -1735, -2581?\nAnswer: -3667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 15, -4*s - 11 = -2*m - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 35 = -g. Suppose 5*t + 6*k - 21 = 4*k, -4*t - g*k + 10 = 0. Suppose 0 = w - p - 8, 3*w - t*p = 2*w + 16. Solve -5*s = w - 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -92\/3. Which is the closest to 2\/7? (a) w (b) -2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**3\/4 + 189*w**2\/4 + 540*w + 1593 = 0. What is w?\nAnswer: -177, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/4)\/((150\/1)\/(-10))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4\/7152227?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**2 - 4*t - 1. Let x be p(1). Let v = 1141 - 1148. Let r = -4 - -8. Sort v, r, x in descending order.\nAnswer: r, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3642*p + 3646*p + 3*c = 17552, -4402 = -p + c. Is 4394 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, -80, -4, 4, 39\/4, -1.08?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of w**5\/30 + w**4\/8 - w**2 - 1. Let l(t) be the second derivative of d(t). Find the second derivative of l(f) wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6054992*a - 2316926?\nAnswer: 6054992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a - 1. Let p be c(-7). Suppose -z + 3*i = -p, -3*z + 24 = -i + 4. Suppose z*o + 21 = 406. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 7 - 3 - -135) + 524 + -541.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 14*a = -60. Solve a*r - 24 = 4*y, r = y - 0 + 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -29*t + 169. Let l be v(6). Sort 2, l, 0, -0.008.\nAnswer: l, -0.008, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t - 2*t + 6684. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/60 - b**4\/6 - 2*b**3\/3 - b**2. Let y be j(5). Suppose f + y = 5. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 7*t - 4. Let u be m(-5). Solve -4*h = 2*r + r - 2, -r - 4*h = -u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 6:44 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/20878046 and -83\/87012?\nAnswer: 375804828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 363799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 3, 26, 39, -3 in ascending order.\nAnswer: -3, 2, 3, 5, 26, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 = -1. Let o(p) = -p. Let v(n) = -2*n**2 + 4. Let x(m) = -2*o(m) - v(m). Let q be x(k). Solve -q = -0*y + 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4*c + 8 = 0, -3*x + c = 5 - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(15)\/(sqrt(30)\/sqrt(6))) - (sqrt(117) + 6*2*sqrt(117)).\nAnswer: -38*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m - 4. Let k be h(4). Suppose 0 = 2*p - k*p + 8. Suppose -p*g - g = -3*b - 139, 0 = -5*g - 2*b + 124. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.067 + 0.028. Let l = 4.905 + x. Which is the biggest value? (a) 3 (b) l (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a millimeter in micrometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.003 in -0.3, -5\/23, -4?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16512, 1, -5\/13, 0.054 in increasing order.\nAnswer: -16512, -5\/13, 0.054, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1021 + 1050. Let c = 31 - k. Suppose -3*y = 1 - 16. Solve -c*q = -y*q - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 123040 or -32?\nAnswer: 123040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54.3 - 1.3. Let k = -58.6 + u. Round k to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -299 by -23.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 460573*t**4 + 658455 wrt t?\nAnswer: 1842292*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -855*v + 3961. Is f(-48) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 55840*q - 3668016.\nAnswer: -4*(q - 13894)*(q - 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + j - 1. Let p be t(-1). Let k = -5\/44 + -3\/22. Is p bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 231800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.28808 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 139*i + 1245. Determine n(-59).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 960 = 9*j - 17*j. Calculate the remainder when 57 is divided by (13\/4 + 2)\/((-30)\/j).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1824*l**2 - 5. Let u(c) = 3*c. Determine u(s(y)).\nAnswer: 5472*y**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(320) - (1 + sqrt(320)))**2 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2187 = 39*a - 31041. List the prime factors of a.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -30.4, -2\/3, 0.0071, -93, -4, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.8 + -11. Let q = j - 15.8. Let m = q - -16.99999976. Round m to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 317?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-3)\/27*(-27)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - o - 23 = -m, 8 = 4*o. Let t(s) = -s**3 + 17*s**2 + 2*s - 9. Let w be t(m). Is 24 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140615 is divided by 2555.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -150 + 152. Put -0.3, y, 23 in ascending order.\nAnswer: -0.3, y, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*w - 10*w + 500. Sort 0, w, -3 in descending order.\nAnswer: 0, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = 29*b - 74. Sort b, 1, 6 in ascending order.\nAnswer: b, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*r**4 + 383*r**3 + 680*r**2 + 219*r + 18 = 0 for r.\nAnswer: -3, -1\/4, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1285\/9 + 143. Let o be (2\/(-35))\/(3\/(-15)). What is the smallest value in k, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-216)\/(-27)*(-7)\/14\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2720, -2819, -2916, -3011, -3104?\nAnswer: -3195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, e: 7, n: 1, a: 4}. Give prob of picking 3 a and 1 n.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*z = 6, -3*z = -4*g + 8*g - 4. Let p(v) = v**2 + v - 2. Give p(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 11*n - 3. Let a be b(8). Is a at most 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40511 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/2*((-5)\/1 - -4). Solve 0*s + s - q = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*b + 113 = 0, -5*p = -3*b - b - 685. What are the prime factors of p?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5)*(-265)\/(-848))\/((-399)\/(-168))\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (18 - (-8 + 13)) - -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 10*z + 5. Let l be p(9). Let i = l - 29\/2. Which is the nearest to i? (a) 4 (b) 2\/9 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**4 - 4*o**3 + 7*o**2 + 4*o - 6. Let l(p) = -4*p**4 + 3*p**3 - 6*p**2 - 3*p + 5. Let m(x) = 6*l(x) + 5*t(x). Suppose m(j) = 0. What is j?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4757 + -a61?\nAnswer: -5708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -57*y**3 - 6*y**2 - 18*y + 6. Let h(a) = 56*a**3 + 5*a**2 + 16*a - 5. What is 6*h(b) + 5*w(b)?\nAnswer: 51*b**3 + 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*x - 165, -2*r - 2*x = -7*x - 66. Calculate the remainder when r is divided by 128\/7 + 2\/(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -112, -107, -48, 83, 304, 633?\nAnswer: 1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12*3\/(-18)*2. Let w(p) = 26*p**3 - 3*p**2 - 3*p - 22. List the prime factors of w(v).\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -20840 at most -20962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -970 (base 12) in base 6?\nAnswer: -10220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) + 0 + sqrt(99) - sqrt(99)) + 4)*3)**2.\nAnswer: 216*sqrt(11) + 1035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -12*k - 2*k. Suppose -k*g + 4*v + 800 = -5*g, -4*g = -3*v - 804. What are the prime factors of g?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcdc. What is prob of sequence ddc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 10:56 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 36*h**2 + 9*h + 30. Is 74 a factor of l(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*o**4 - 91*o**2 + 91*o**2 + (0*o**2 + 2*o**2 - o**2)*(2*o**2 + 0*o + 0*o) to the form l*o**4 + h*o + i + s*o**2 + m*o**3 and give l.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 - 138*c**2 + 288*c + 15079. Determine p(65).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 11*c**2 - 16*c + 15*c - c in the form t + x*c + d*c**2 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q + 4624 = -10*q. Let b = q + -87. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 16*p + 10. Let a be c(3). Let l = -51 + a. Let u(g) = g**3 - 13*g**2 - 2*g + 9. Let i be u(l). What is i rounded to the nearest ten?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 263992 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w + 15*w**2 - 29*w**2 + 18*w + 3*w**2 - 31*w**2 + 1 to the form o + c*w + l*w**2 and give l.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1351 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z + 222. Let u(d) = -8*d + 268. Let o(j) = 2*u(j) - 3*y(j). Determine o(0).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 7:21 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 869*i - 864*i + 25*i**3 + 2601*i - 868*i.\nAnswer: 25*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from {d: 7, f: 4}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (8\/32)\/(29\/(-3596))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20221000 (base 3) in base 15?\nAnswer: -1769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -4, 337, 12 in descending order.\nAnswer: 337, 12, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f + 3*f)*(-4 + 5 - 2)*(4 + 0 + 0).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -16*n - 7. Let p(v) = -8*v - 4. Let j(b) = -7*p(b) + 4*t(b). Let z(a) be the second derivative of a**3\/6 + 21*a + 1. Determine j(z(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - -4*2*sqrt(78)) + sqrt(78) + 2*(sqrt(78) + sqrt(78)*-2) + sqrt(78) + sqrt(78))\/(1*2*sqrt(150) + (sqrt(150) - 2*sqrt(150))*-2).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*g - 4222 - 2357. Calculate the remainder when 464 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -r - 23, -15 = 3*r - s - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 245\/3 + -81. Which is the smallest value? (a) -0.3 (b) -1 (c) q (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2502702?\nAnswer: 2, 3, 163, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 12*k + 4511. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-38)*(-74)\/148)\/((-10)\/(-30))\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (10 - 8 - (-1 - (4 - 6)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 - c**3 - 5*c - 3*c + 7 - c**3 + 8*c + 6*c to the form m + k*c**3 + p*c + b*c**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16407380.\nAnswer: 2, 5, 11, 17, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62455556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, m: 3, u: 5, x: 1, c: 1, z: 4}. Give prob of sequence mmzc.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8310837 and 597.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126032327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 218330 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/20 and -83\/692?\nAnswer: 3460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 - 18*f - 6. Let m be j(6). Let q = 3 + 114. Suppose -3*v = m - q. What are the prime factors of v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/4 of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 413194*d**3 + 3207039*d.\nAnswer: 2479164*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 2\/17, -3, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 172 + -169. Which is the closest to 1? (a) 2 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -319*m + 359?\nAnswer: -319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*h*j*u + h*j - 5*h*o*u + 45*h*o - 3*h*u + 2*j**4 + 8*j**2*o*u wrt j.\nAnswer: 19*h*u + h + 8*j**3 + 16*j*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 26*d + 82. Let k = -11 - -8. Which is the nearest to d? (a) k (b) 2\/11 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45641162 to the nearest integer?\nAnswer: 6756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*x + x + 17 = 0, -3*x - 14 = 2*r. Let l(b) = 69*b**2 - 18*b + 1 + 0 + 19*b. Is l(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 2\/7 (b) 5 (c) -2\/5 (d) -388 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181, -742, -1681, -2998, -4693, -6766?\nAnswer: -9217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 776\nAnswer: 77.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8932 (base 14) to base 2.\nAnswer: -101110011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1149*k**3 - 6*k**2 + 9*k - 10. Let n be g(-7). Let l = n - -794474. Round l to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -12*x + 16*x. Let c = x + 4. Solve -c*h + 4*h = -4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 12*u**3 - 9*u**2 - 519*u + 15. Let m(x) = -19*x**3 + 14*x**2 + 779*x - 24. Calculate 5*m(y) + 8*v(y).\nAnswer: y**3 - 2*y**2 - 257*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -350.9 - -350.9000037564. What is k rounded to 7 decimal places?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 39 + 528 = o, j - 3*o + 14 = 37 + 6 for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(9\/(-6) + 2). Let n be (-3)\/i*44\/33. Is n equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 88133139, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 + 10*p**2 + 100*p + 20. What is n(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 463.7013 months?\nAnswer: 0.38641775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*b - 82*b - 2 - 10*b**2 in the form g*b + k + c*b**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050\/(-8750)*(-5)\/(-2)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*r**2*t**2*x - r**2*t*x + 2*r**2*t*y - 2*r*t**2*x*y + 2*r*t**2 - 9*r*t - 3*y wrt r?\nAnswer: -30*t**2*x - 2*t*x + 4*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5 + 79*s**4 + 78*s**3.\nAnswer: s**3*(s + 1)*(s + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/160706 and 85\/126.\nAnswer: 1446354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 49*j**2 - j + 1. Let o(d) be the first derivative of 3*d**2\/2 + d + 1. Let z be o(-1). What is the remainder when m(z) is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by -4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 766*u + 3324 = 768*u. Suppose -1659*a + u*a = 99. What is the highest common divisor of 18 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**5\/5 - 18378*m**4 + 643359*m**3\/5 - 110310*m**2 - 2573388*m\/5 + 735288 = 0.\nAnswer: -30637, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390*m = -364*m - 2834. Solve 4*v = m - 93 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (103\/309)\/((-1)\/(-3)). Solve z = 2*z - q - l, 3*q = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41 - 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -30*y + 85. Let i be x(3). Sort -4, i, 1, -68 in decreasing order.\nAnswer: 1, -4, i, -68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j**2 - 194*j + 194*j - 5 in the form h*j**2 + s + f*j and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*x - 5*x**3 + 9*x + x**3 wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p - p - 4*p. Suppose -12 = 3*q - 5*q. Suppose 4*a - 10 = q. Let r(u) = -2*u**3 + 2*u. Give a*f(g) + r(g).\nAnswer: -2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h*m**2 + 2182*h*m + 93*h + 5*m**2 - 22439270 wrt h?\nAnswer: -2*m**2 + 2182*m + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-4 + 4 + (0 - 2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 12*k - 18. Give t(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 4) + 982\/(-5). Let d = r - -198. Is d >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f\/(f**0\/f)*f)*f*f)*f)\/f)\/f*f)\/f**(-8\/7)*(f*f**(-2))\/f*f*f**12*f assuming f is positive.\nAnswer: f**(99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 610411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 + 11*p**2 - 8*p - 9. Let j be l(-6). What is the third derivative of -4*g**2 + 2*g**6 + 0*g**j + g**6 + 0*g**3 wrt g?\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -148*4\/(-8) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 34*z + 3*z**3 - 71*z - 12*z**3 - 1 + 35*z - 2*z**2. Calculate v(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7061*g + 79. Let l = 488 - 486. Is h(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1836, -1910, -2042, -2238, -2504, -2846?\n\"Answer: -y**3 - 23*y**2 + 2*y - 1814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m + 43. Let j be s(4). Let h(p) = -p**2 + 20*p - 86. Let n be h(j). Solve -14 = -n*a + 4*x, 2*x = -4*a - 2*x + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(2*g**3 - 2 + 2) - 2*g**2 + 2*g**3 + 2*g**2 + 6*g + 13059 - 26090 - 10*g**3 - 7*g**2 + 13028.\nAnswer: -4*g**3 - 7*g**2 + 6*g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 35.5965435 minutes?\nAnswer: 0.003531403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 295*d**2 + 2*d. Let o be c(1). Suppose -o*p = -292*p. Let u(q) = p + 86*q - q**2 - 85*q + 4. What is u(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 266821585677477 and -4.\nAnswer: 266821585677473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -25. Let l = 5 + -9. Which is the closest to y? (a) -2\/9 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 114720 to the nearest one thousand.\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**(-48)*(c**(1\/5)\/c*c*c)\/c*c*c*c**(-5)*c)\/(c\/(c*c\/(c*c**(-6)\/c*c))*(c**(1\/5)\/c)\/c*c**(-4\/7)*c**(-1\/5)) assuming c is positive.\nAnswer: c**(1917\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -220906, -441969, -663032, -884095?\nAnswer: -1105158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/371 and 25\/56?\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-12)\/9 + 2). Suppose 7*d = n*d. Differentiate 0*a**4 - 2*a**4 + d - 2 wrt a.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146793?\nAnswer: 3, 167, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 28 - 4 = 0. Let j(r) = -24 + 23 - 7 + b*r - 12. What is the lowest common multiple of j(11) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -760685, -760674, -760663, -760652, -760641?\n\"Answer: 11*a - 760696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/184462, 0.08, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3691721 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3742 in -0.3, -163, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -61314*w + 307061. Calculate t(5).\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 7*x**6\/5 + 11*x**3\/6 + 237*x**2\/2 - 2696*x. Differentiate g(u) wrt u.\nAnswer: 168*u**3 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13040?\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -16*(-6)\/24 - -42082.\nAnswer: 2, 11, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 9\/54*(-44)\/(-6). Is x at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwwwwxw. What is prob of picking 1 x and 2 w?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-1) + ((-13728)\/(-91))\/12. Which is the closest to -0.1? (a) 0.174 (b) -0.6 (c) j (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 80428812 and 98?\nAnswer: 80428714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17505 and 9110380?\nAnswer: 1945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -392 - -1663. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 - -51. What is the greatest common divisor of p and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -7.000015. What is w rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/16)\/(((-25)\/10)\/1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4 + 4. Let q(o) = -2*o**3 - 1 + o**3 - 2*o + 5*o - i*o. Let u(p) = p + 1. Give 2*q(m) + 2*u(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 5 = -8*t. Let r be ((-6)\/t + 3)*-2. Let a(o) = -o + 7. Let c be a(r). Calculate the highest common factor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10979 (base 10) in base 13?\nAnswer: -4cc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 2)*(((-160)\/(-350))\/(-8) - 30\/350)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h*h**8*h)*h*h\/h**5*(h**4)**23 assuming h is positive.\nAnswer: h**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r = f + 21*r, f + 4*r = 7. Calculate the highest common factor of 6965 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34f7e (base 16) to base 3\nAnswer: -102000121111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 3*u - 1563*u**2 + 7819*u**2 + 143*u**2 - 1.\nAnswer: 6399*u**2 + 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25448, -50889, -76328, -101765?\n\"Answer: y**2 - 25444*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1434259, 1434256, 1434265, 1434292, 1434343?\n\"Answer: v**3 - 10*v + 1434268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 63. Let s = -45 + 44.16. Let k = s + 0.74. Is k less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2268*x**2 + 1344 + 57*x**4 - 102*x**4 + 273*x + 2875*x + 29*x**3 + 439*x**3 + 49*x**4 = 0. Calculate x.\nAnswer: -112, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 304, 641, 1112?\nAnswer: 1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from bbbbqbbkkjgjjjbk?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 1. Let d = -3 + 2. Let z(c) = 3*c + 4. Let i(b) = d*z(b) + 4*y(b). Let o(k) be the second derivative of -k**3\/2 + 3*k - 2. Determine i(o(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -7*k. Let w(a) be the third derivative of a**4\/8 + 6*a**2. Let o(l) = -4*f(l) - 10*w(l). Let p(b) = 5*b. Calculate o(p(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13158 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 71, -2959, -11363, -27829, -55045, -95699, -152479?\n\"Answer: -448*k**3 + k**2 + 103*k + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from swwyybvwyhhhs?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 50. Suppose -5*q + 119 = -l. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3290.\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32, 72, 112, 152, 192, 232?\n\"Answer: 40*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 - -136. What is the units digit of 5\/2*x\/25?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 726142377 take away -31?\nAnswer: 726142408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u - 32. Let s be f(8). Suppose 0 = 10*o - 14*o + s. Solve -4*l + q - o*q - 2 = 0, -4 = -2*q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47263 + 2*k - 47145 - 5*k)*(-3 + 3 + 3)*(3*k - 3*k - k).\nAnswer: 9*k**2 - 354*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*r = 20, -2*r = -3*h + 5*h - 8. Suppose -4*b - b + 20 = 0. Suppose h = b*t + t - 15. Solve 0 = -t*k - 5 - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 68*d**2 + 3*d + 4. Let q be y(-3). Let c = q - 420. Suppose 2*m - c = -5*v - 2*m, -4*v = 4*m - 148. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31422571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-50 + (-2 + 3 - -1))\/(16838\/16838)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.24, 2.5, -89?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2502*b - 763*b - 1739*b - 20*b**2.\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v**4 + 216*v**2 + 14*v**4 + 3*v - 6*v**4 + v**3 - 9 - 218*v**2 to the form y*v**4 + u*v**3 + l + m*v + z*v**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 363205781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*a*r**4 - 1007*a + 956*r**5 + 18*r wrt r.\nAnswer: -336*a*r**2 + 19120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + -5)**2 + 5.\nAnswer: -70*sqrt(19) + 961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*k - 379*k - 378*k - 364 = -1159*k for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 4) to base 2\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5949239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 356 divide 47153980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -148 in -4704, -2\/5, 2\/9, 0.09?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4698 and 32516772?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 804365223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15058 divided by 15058\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-85 + 85 + 39*y + (-2*y - 1 + 1)*(-3 + 2 - 2)*(1 - 3 - 3))*(7 - 3 - 5)*(y + 2*y - y) to r + x*y + k*y**2 and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 14*w - 35. Let t be p(10). Solve -4*v - o = -22, 0 - 5 = -3*v + t*o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + 453?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210002010 + -1?\nAnswer: -210002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a8 (base 13) in base 5?\nAnswer: 20241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8321.047 days in weeks?\nAnswer: 1188.721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/7)\/(4\/8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 3*g. Let l(j) = j + 56. Is 9 a factor of l(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/44436279, -0.2 in descending order.\nAnswer: -2\/44436279, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-273)\/(-252)*4)\/((-22)\/(-55)*10\/12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 2 - (-3 - -6). Let c be (-1 - y)\/(-1 - 2). Which is bigger: c or 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1207*i - 15634 - 12900 = 4933 + 1536 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113 - 113 - 4*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 38378.\nAnswer: 38378.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 7:30 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.24108708 rounded to 4 decimal places?\nAnswer: 1.2411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 4*y = -8. Suppose 2*z - y = -3*l, 0*l = 5*z - l - 5. Solve -4*c + 3*c - z = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 2 - ((-213 - -218) + -6 + 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 + 14*l**2 + 39*l**2 as w*l + m + q*l**2 and give q.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37 and -1?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 398 - 206. What is the tens digit of (a\/160)\/(3\/(-10))*-199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, j: 2}. What is prob of picking 2 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52336337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 85, -119 in decreasing order.\nAnswer: 85, -4, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11647 - -16402. Calculate the greatest common divisor of a and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 + 0*x**2 - 2*x**3 - 5*x**3 in the form v*x**2 + h + y*x**3 + b*x and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 3. Let l be (-2)\/3*(-54)\/k. What is the units digit of 2\/(2 - 21\/l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7397642*w + 24309348?\nAnswer: 7397642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -39. Let c(v) = -v**2 - 14*v - 9. Let w be c(-7). What is the greatest common factor of w and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d - 23*d = 36257. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46208 (base 12) to base 8\nAnswer: 266650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = 130 - 340. Suppose -4*j + 237 = -519. Calculate the greatest common divisor of b and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/405*-27 - 2\/(-4)*2. Which is the nearest to 1.6? (a) 5 (b) z (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-11 + 90 - 29)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986 a factor of 20012922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p*p*p**47*p)*p**(-2\/7)*p assuming p is positive.\nAnswer: p**(-331\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9282.9 - 147141112?\nAnswer: -147150394.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 1 + -7 + 1 + (-91 - -100)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -2, 11, -5, 354, 4 in decreasing order.\nAnswer: 354, 11, 4, -2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**5\/((n*n**(5\/6)*n)\/n))\/(n**(1\/4))**30)\/((n**(-2\/17)\/n*n)\/n*n**7)**35 assuming n is positive.\nAnswer: n**(-10721\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 - -8) + -7 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 213150085 to the power of 1\/4, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 632 a factor of 2033776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 2\/17, -7, 2, -8 in descending order.\nAnswer: 2, 3\/2, 2\/17, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22263 and 3075?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 86533824 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39929 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.0248538 minutes to days.\nAnswer: 0.00418392625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 - -43?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25688*b + 25623*b = -520 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/4 + 3\/(-6). Suppose -54 = -8*x + l*x. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2496)\/(-27) + (-132)\/297. Put 0.03, u, 2\/13, -1 in descending order.\nAnswer: u, 2\/13, 0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 15*n**2 + n**2 - 20*n**2 + 2 to the form r*n + f*n**2 + s and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) 10 (c) -4\/3 (d) 359.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 635 minutes after 3:40 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 + 90*p**2 - 669*p - 6806. Determine j(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -22143*p - 354318. Give g(-16).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11198 and 6.\nAnswer: 33594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -353883.81 take away 1928?\nAnswer: -355811.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6930284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.081 (b) -5 (c) -1.8 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -0.06, 20, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/5 - 82976*x\/5 - 860627072\/5 = 0 for x.\nAnswer: -20744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*i + 3 = 91*i. Calculate the lowest common multiple of i and 254.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 144.2 - 144. Let h be (2\/(-3))\/((-8)\/(-36)). Let v = -11 - -7. What is the nearest to s in h, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.4, -16\/3, -9, 7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v + 2378 - 2204 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7120, 6817, 6514, 6211, 5908, 5605?\nAnswer: 5302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*p + 20. Let k(t) = -21*t + 11. Let f(y) = -4*y + 2. Let g(j) = 11*f(j) - 2*k(j). What is the units digit of g(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37049010 divided by -3?\nAnswer: 12349670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 27 in decreasing order.\nAnswer: 27, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2961 smaller than -44434\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6931778023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-20)\/(o\/(o*o**(-8)))*o*o\/o**(-3)*o*o*o\/((o*o\/(o*o\/o**26))\/o) assuming o is positive.\nAnswer: o**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, h: 2, f: 6}. What is prob of sequence fhk?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 86 + 24 - 76*i + 28 + 10*i to the form o*i + z and give o.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l + 9 = 0. Suppose -4*m - h + l*h = -22, 2*h = -6. Which is the second biggest value? (a) -4\/3 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*r - 5*w, 6*r - 5*w = 4*r + 14. Let j(c) = 28*c - 17. Is j(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/i**5)\/i)\/(i**4*i)*(i**(-1)*i)\/i**(1\/6))**(-22) assuming i is positive.\nAnswer: i**(605\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497626?\nAnswer: 2, 248813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2. Let o(y) = 2*y**2 + 2*y + 2. Let a be o(-1). Let p(u) = 0*u**a + 2*u**2 - u**2 - 3*u**2. Give p(l(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/79)\/z*z*z**2*z)\/(z**(-2\/73)\/((z\/(z\/z**(-6\/7)))\/z)) assuming z is positive.\nAnswer: z**(46220\/40369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-2))\/(9\/1332). Let s = -53 - k. Calculate the greatest common divisor of s and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + d**2 - d**2 + 0*d**3 - 28*d**3 + 6*d**3 + (0*d - d - d)*(-2*d**2 + 2*d**2 + d**2) - d**3 + d**2 - d**2)*(3*d**2 - 6*d**2 - d**2).\nAnswer: 108*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 6. Let h be z(11). Let s = h + -6. Is 1 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - -1d2b?\nAnswer: 1d21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2462 + 1160?\nAnswer: 3652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -4.7. Let t = 9.9 + -12.5. Let h = t + 3. Which is the closest to 2\/15? (a) h (b) w (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(4\/24)\/(1435\/105)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 - 1 = 2*k, -4*k + 1 = d. Let n be 4 - -1 - 1\/d. List the prime factors of 12\/(-9)*(1 - n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2575210?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30142*p - 4790.\nAnswer: -30142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23694160.\nAnswer: 2, 5, 7, 29, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1695368.\nAnswer: 2, 67, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 91*h - 7. Let n be c(5). Suppose 0 = -4*m - 0*m + n. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 9636*h + 19217*h.\nAnswer: 28853*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(99 + (-132112)\/1334)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 18, -48 in increasing order.\nAnswer: -48, 1\/4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(56\/(-12))*-1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 3*o**4\/4 + 4*o**2 - 4. Find the second derivative of r(l) wrt l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -177, -266, -355?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*g + 2. Suppose 0*i + 40 = 5*f + 4*i, 0 = -g*i - 25. Let v(u) = -u - 2. Let t be v(-5). What is the greatest common factor of f and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p. Let x(v) be the first derivative of 5*v**3\/3 - 4. Determine f(x(l)).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39352 - 0?\nAnswer: 39352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1128938*f**3 + 145710*f - 4.\nAnswer: -6773628*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3276, -5167, -7030, -8859, -10648?\nAnswer: -12391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2 - 10483*d + 2747566 = 0 for d.\nAnswer: 269, 10214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62457 - -16216. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**2 + 5312712*d - 1764056799684 = 0.\nAnswer: 664089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14337813*n - 7*n**2 - 14337813*n.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15778.7 millimeters to micrometers.\nAnswer: 15778700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8654 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1570 - -1569. What is the biggest value in -0.5, b, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 26*n**7\/21 - n**6\/10 + 6*n**5\/5 + 6377*n**4\/12 - 6077*n. What is the third derivative of o(h) wrt h?\nAnswer: 3120*h**2 - 72*h + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103 + -1127\/11. Let f = 1.48 + 0.52. Which is the second smallest value? (a) f (b) -3 (c) 4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -5*w**3 + 75*w**2 - 60*w - 140 = 0.\nAnswer: -1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24115.95us in seconds?\nAnswer: 0.02411595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10535 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 324.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2 + 26*d - 17. Let r be o(5). Calculate the greatest common divisor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32925 and 825?\nAnswer: 362175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -700 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + (sqrt(1573) + 0 + 3 - (sqrt(1573) - (5 + sqrt(1573) + 0 + sqrt(1573))) - (-2 + sqrt(1573)*-3*4)))**2.\nAnswer: 2772*sqrt(13) + 308389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkppmqqztmqqkp. What is prob of picking 1 q and 1 z?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10 - (18 - 17) - (-46)\/4. Let j(k) be the first derivative of 6 - x*k**2 + k. Give j(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1881*q**2 - q + 3796*q**2 - 2 - 1916*q**2 + 3. Let g(y) = 4*y**2 - 2*y - 1. Give -g(s) + u(s).\nAnswer: -5*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b**(-3\/4)*b)\/b))**(-1\/19)*b**(-20)\/(b*b**(6\/13)))**28 assuming b is positive.\nAnswer: b**(-148701\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41248584371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - g - 270 = g, -4*y + 5*g = -285. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31075\/24 + 1295. Let s(h) be the third derivative of 1\/60*h**5 + f*h**4 + 5\/6*h**3 + 2*h**2 + 0 + 0*h. Calculate s(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/15 and (-298)\/(-18)*30\/100.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + sqrt(450)\/(sqrt(36) - sqrt(9)))**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35702510 (base 9) to base 8.\nAnswer: -102352017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12377 + -12378. What is the closest to z in 3, -1, 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -12 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 381*r - 4557. Suppose 0 = -m - 3*m - p + 585, -3*p - 289 = -2*m. What is the remainder when m is divided by b(12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*m - 50 = 0, 79*m + 164 = -4*v + 80*m. Let d be 1686\/21 + 2\/(-7). Let f = d + v. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585*d + 23530 + 10173 = 11831 - 20248 for d.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 75215379 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u - 26. Let s be g(-10). Let q be -3 - (2\/s + -3). Is -1 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14.2 in -2\/3, 0.4, 2\/17?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*d + 21, 0 = 4*l + 4*d - 3*d - 21. Let v be (-6)\/12*l\/7. Suppose 0 = -0*o + 4*o + 4. Are v and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4920 and 520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -788*c - 3957 + 3957.\nAnswer: -788*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 4056 = -20*v. What is the hundreds digit of 4\/(-3 - -4) - (-2 + v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -81, -112, -157?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) 8 (b) 7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -201 in -18, -0.2, -106\/11?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 27623569755.\nAnswer: -27623569756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (737 - 725) + 1 + 22 + 2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 11*c - 8. Let b(s) = 5 - 441*s + 222*s + 212*s. Let w(p) = 8*b(p) + 5*z(p). Let l(d) = -27*d**2. Give l(w(o)).\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1088 and 64634.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*h - 32 = -5*l - 131*h, 0 = -7*l - h + 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j = -42*j + 12. Solve -u - 3 = -j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 652 and 2490151.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1813 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/h**8)))**34*h**0*h*h\/(h**(4\/11)\/h) assuming h is positive.\nAnswer: h**(-2589\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445210*b = -445630*b + 5880 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -5102520112?\nAnswer: -5102520103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5228974.\nAnswer: 2, 2614487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4430 - 130?\nAnswer: 4300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14885904, 14885905, 14885906, 14885907, 14885908?\n\"Answer: i + 14885903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**7\/105 + p**6\/48 - p**5\/40 - 5*p**4\/48 - p**3\/12 - p**2. What is s in n(s) = 0?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29469\/(-770))\/141 + (-6)\/20.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 538.464 - 474.39. Let r = -64 + w. What is r rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 307585 and 1300710.\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 - 13*d + 2. What is v(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7a - -b4?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 1984\/3*m**3 - 26*m + 6*m**2 + 0. Let u be n(16). Round u to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163584877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89797775?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 25*r - 43. What is the remainder when 76\/(-3)*(-150)\/100 is divided by x(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2656477 and 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_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: Let u(c) = -c + 13. Let i be u(9). Suppose -i*b = -2*b. Suppose b = -5*k - 4 - 6. Let o(s) = 2*s**3 + 2*s**2 + 2*s. Determine o(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**3 + 0*v - v - 2*v**2 - 3*v**3)*((3*v - 4*v + 2*v)*(5 - 3*v - 5) + 39*v**2 + 6*v**2 + 37*v**2).\nAnswer: 158*v**5 - 158*v**4 - 79*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 11 - 99. Suppose 0*t = -4*t + o. Calculate the remainder when 32 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**2 + 2*y - 3. Let l be 2\/14 + 72\/84. Let d be t(l). What is the third derivative of -14*n**4 - 9*n**4 - 13*n**2 + 5*n**d wrt n?\nAnswer: -432*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249679.67 rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1355013 + -110?\nAnswer: 1354503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1248176 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29731 is divided by 1292?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3272 + -1471. Suppose 0 = 6*x - l + 1. Round x to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 71005*t. Let u(z) = 2*z**2. Give s(u(q)).\nAnswer: 142010*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1.9. Let g = 3.9 - -0.1. Let b = g + -3.5. Sort 0.2, f, b in increasing order.\nAnswer: f, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -1, -192\/29, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3274546, 3274459, 3274360, 3274243, 3274102, 3273931, 3273724, 3273475?\nAnswer: 3273178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*i**3 + 2 + (-i + i - 2*i)*(3*i - 2*i**2 - 3*i) + (4*i**3 + 2 - 2)*(1 + 0 + 1) + (i + 2*i - i)*(6*i - 6*i - 2*i**2).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 412 + -321. List the prime factors of n.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3351 (base 16) to base 5.\nAnswer: -410022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1104 less than 0?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 14*i + 91. Let h(r) = 100*r + 635. Suppose -15*v = -12 - 18. Let d(s) = v*h(s) - 15*w(s). Find the first derivative of d(b) wrt b.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**5 - 61*l**4 - 37*l**3*q - 17654*l**2*q - l*q wrt l?\nAnswer: 180*l**2 - 1464*l - 222*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than -0.7736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259718701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 8*r**2 - 34*r**2 + 10*r**2 + 13*r**2. Let d(k) = -3*k + 24. Give a(d(x)).\nAnswer: -27*x**2 + 432*x - 1728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 58, 115, 168, 217, 262?\n\"Answer: -2*l**2 + 63*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5609*l*w**2 - 2*l*w - l - 6070 wrt w.\nAnswer: 11218*l*w - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 322629799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -189*i**5 + 5*i**2 - 4.\nAnswer: -11340*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 11:38 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*v - 22. Suppose -26 = -3*m - v. Suppose 40 - 15 = m*h. Put 1, h, 2 in ascending order.\nAnswer: 1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*3\/(-60)*(10\/15)\/((-21)\/(-9)).\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 22*y**2 - 4*y - 19. Let k be c(-3). Let i = k + -187. Suppose 0*d = -3*d + 27. Solve -3*q + d = -i*p, -4*q + q = -3*p - 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-20))\/((-4)\/(-50)*-5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 2 (c) -4 (d) 3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)*r)**(-1\/79)\/(r**(-1)*r*((r*r*r\/(r*r*r**6*r))\/r)\/r))**(7\/9) assuming r is positive.\nAnswer: r**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 227455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017 plus 214758795598?\nAnswer: 214758795597.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c - 22*c**2 - 16*c + 17*c**2 - 16*c**2 + 12*c**2.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-8 + 5 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*r = 84*r - 90. Suppose -11*x = -3*q - r*x + 84, 0 = -4*q + x + 112. Calculate the greatest common factor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910544668 < -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -812 - -794. Which is bigger: -13 or r?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 418, 836, 1254?\nAnswer: 1672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173829633?\nAnswer: 3, 57943211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 15 = -4*k, f = -4*k - 3. Solve 0 = f*z - 3*j - 3, 2 - 3 = -4*z + j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*k + 25. Suppose 0 = -3*n - 2*n + 15, -k = 3*y - 5*n. Is 3 a factor of (-1 + y)\/(8\/48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/36, -9, -3?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 309843, 309833, 309821, 309807, 309791, 309773?\n\"Answer: -a**2 - 7*a + 309851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 102*z**2 + 586*z + 23. What is r(-6)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -12870.\nAnswer: 1\/2574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**2 + 0*l + 3*l - 6*l - 6*l**2 wrt l.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1382)\/4)\/((-3)\/66) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3332 = 171*m - 1896 + 2497 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlk when three letters picked without replacement from {k: 1, v: 1, h: 2, b: 1, l: 1, u: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 263, 1034, 2325, 4142, 6491, 9378, 12809, 16790?\n\"Answer: q**3 + 254*q**2 + 2*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 797 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -26. Let k = 8 - 12. Let y = 415\/903 + -4\/129. What is the second smallest value in k, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 339, 0.3, 2\/23, 5, 1, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*c**3 + 2*c + 10*c**3 - 2*c.\nAnswer: -27*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -221 + 53. Suppose -4*w - 2*a = -d, 3*a = -4*w - 0*a + 88. Calculate the highest common factor of w and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b9 (base 13) to base 7.\nAnswer: -1631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/1040 - (280\/(-91) - -3).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (121 - 91 + 131 + 78)*(15*g + 27 - 27) to z + u*g and give u.\nAnswer: 3585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128*y + 514*y - 132*y - 127*y - 2633 - 129*y to s*y + c and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 10*y**2 + 17*y - 6. Let r be d(11). Let v be (-99)\/(-27) + (-2)\/(-6). Let u be 13 - (v\/2)\/2. Calculate the highest common factor of r and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131 + 66 + 65 + 12*n**3.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19491074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -133023 and 77104?\nAnswer: 210127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t - 3. What is h(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 115 and 116 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/24 and 79\/108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8*6)\/(432\/3168)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3082394*o - 3704509 wrt o.\nAnswer: -3082394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5442, 10878, 16312, 21744, 27174, 32602?\n\"Answer: -s**2 + 5439*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11a4 + -a371?\nAnswer: -b535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3553*z - 284242. Give l(80).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.38 - 0.02. Suppose -4*m + 8 = 3*y, 3*y - 7*m - 10 = -12*m. Let q be 1 + y + 72\/(-120). Which is smaller: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**2 + 40820*y + 405748 with respect to y.\nAnswer: -2*y + 40820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 1:36 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298988 is divided by 468.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 29 + 70 = 3*y, -2*y + 2*u + 76 = 0. What is the derivative of 81 + m**3 + 32 + y*m - 61 wrt m?\nAnswer: 3*m**2 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 4, -0.3, 3, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 3:28 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 5*h - h**3)*(-2*h**2 - 2*h**2 - 4*h**2) - 2*h**5 - 4 + 4 - h**5 + 3*h**5 - h**5 + (-2 + 3 + 0)*(-h**5 - 3*h**5 + 5*h**5) - 2*h + 3*h**5 + 2*h.\nAnswer: 11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 178522 at most 178526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 l, and 2 e when four letters picked without replacement from pyelbpev.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/9)\/((-5)\/16260). Suppose -3645 = -v - w. Let k = -1776 + v. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*f - 126*k + 123*k + 29 = -270*f, -3*f = -3*k + 21 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.62809 times 0.2\nAnswer: -0.125618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380852581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -611 - -1805. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.09 and 4197.\nAnswer: 4197.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 60912793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7361 = -6*b - 9697. Let v = b + 4294. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1589588 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pppjjpjppppp.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 188 and 14190898?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x. Let k = -8\/479 - -959\/28740. Let l(s) be the third derivative of -k*s**5 - 8*s**2 + 0*s**4 + 0 + 0*s + 0*s**3. Determine t(l(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-1 - 234)*26\/(-208)*16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 11, x: 5}. What is prob of sequence xxm?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**3\/4 - 6659*w**2\/4 - 62355*w\/4 - 127053\/4 = 0?\nAnswer: -19\/3, -3, 2229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/45 and 85\/4.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -245, -228, -197, -146, -69?\n\"Answer: p**3 + p**2 + 7*p - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 2:57 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1939311)\/6 - 6\/(-12). Is l\/(-14) + 2 + 7 + -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**6\/15 + 9*c**5\/5 - 31*c**4\/2 + 80*c**3\/3 + 192*c**2 + 15*c. Determine n so that v(n) = 0.\nAnswer: -1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*f = -32. Let h = 18 + f. What is the lowest common multiple of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7365 + 0.6875. Is w < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/3)\/(660\/(-594))*(-8)\/(-42).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -2329080 divided by 19409\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/3*-6*12\/40.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00594951042 to four dps.\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from bbbbuuu?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14993 and 19129?\nAnswer: 554741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -2)\/(6\/18). Suppose -873 = -3*z + n*r, -3*z - r = -0*r - 893. Suppose -3*q + f + 304 = 2*f, -5*f + z = 3*q. 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 -3324 divided by -26927?\nAnswer: 3324\/26927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (6*sqrt(119)*1 - sqrt(119)))\/sqrt(7).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2) + 0 + sqrt(242) + sqrt(40)\/sqrt(5))*-6)**2.\nAnswer: 14112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wji when three letters picked without replacement from njvjwitn.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*z = -108, 3*p + 4*z = p + 84. Calculate the highest common factor of p and 4050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 88606589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10508, 21009, 31510, 42011, 52512, 63013?\n\"Answer: 10501*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/4775, 3, 16, 0.2, 0 in decreasing order.\nAnswer: 16, 3, 0.2, 0, -2\/4775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/2*(-1010)\/15.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -69 (b) -1\/4 (c) 27\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1091.4 times 0.2\nAnswer: -218.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 789*c*r - 78*c + 71571*r wrt c.\nAnswer: 789*r - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 2:45 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430 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: Calculate prob of sequence rdrh when four letters picked without replacement from {r: 4, i: 3, d: 2, h: 1, l: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/9399180 and 47\/28773.\nAnswer: 28197540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.35 - 32. Let y = 1.6643 + i. Round y to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4 - 7 - 2*v + 6. Let o(j) be the third derivative of -j**5\/30 + 6*j**2. Determine h(o(w)).\nAnswer: 4*w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 + (-4 - -3) + 138 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 11:40 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 - 64 - (25 - 22)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1784 and 476.\nAnswer: 212296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*d - 21*d + 8*d to the form l*d + q and give l.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/13 + 4052*o\/13 - 28462\/13.\nAnswer: 2*(o - 7)*(o + 2033)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17295, 17297, 17301, 17307, 17315, 17325?\nAnswer: 17337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 156635 + -21?\nAnswer: 156614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-14) - 7\/49. Suppose -b + 2 + q = 0. Solve -b*h + 0*h - 3*x - 5 = 0, -2*x = 2*h + 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Let b be (s\/((-2)\/(-5)))\/(-1). Suppose -29*n - 64*n = 11*n. Sort n, 10, b, 2 in ascending order.\nAnswer: b, n, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 8:23 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w - 15*w - 5*w**3 + 4*w**3 - 156*w**2 + 143*w**2 - 16. Determine p(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/11 (b) 5\/3 (c) -3\/8 (d) -2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 51, -0.01, -1, -7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - n + 5. Let u(l) = 1 + l + 2*l - l - 3*l. Let r(p) = q(p) - 5*u(p). Determine r(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (3 + (3 - (123 - 117 - (-95 + 0))))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 347, 670, 971, 1250, 1507?\nAnswer: 1742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 8:17 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5618 and 212.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -614 (base 7) to base 5.\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 747 = 5*x + 2*y, 4*x + 457 = 7*x - y. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3330635m to centimeters.\nAnswer: 33.30635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -34. Sort x, -12, 3 in descending order.\nAnswer: 3, x, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*20\/12*(-75)\/(-250).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 42, 4, -4, -1\/2?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2271587 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1421*v**2 + 110*v + 492. List the prime factors of p(-5).\nAnswer: 29, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 17430894?\nAnswer: 34861788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334 (base 8) to base 3.\nAnswer: 22011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 + 27*k**2 - 3 + 3 + 2*k**3 + 7*k - 26*k**2 in the form m*k + u*k**4 + h*k**2 + s + f*k**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3157, 2, 3, 389, 4 in decreasing order.\nAnswer: 3157, 389, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -1457*b**2 - 7276*b + 35. Give q(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/190, 27, -0.2, -2\/13 in descending order.\nAnswer: 27, 3\/190, -2\/13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - -3554a?\nAnswer: 35543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + 0.6. Let a = j - 0. Is a at most 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -389*u**5 + 2300*u**2 + 4223*u**5 + 688*u**2 wrt u.\nAnswer: 230040*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 90540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(76)\/sqrt(4) - (sqrt(95)\/(sqrt(10)\/sqrt(2)))**2) + (0 + sqrt(1216))*-5 + -1)*3.\nAnswer: -102*sqrt(19) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.15 + -0.85. Sort 2, 12, q in descending order.\nAnswer: 12, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**3\/5 + 1629*i**2\/5 - 884547*i\/5 - 210. Factor s(k).\nAnswer: -3*(k - 543)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9201620?\nAnswer: 2, 5, 460081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 10*t + 189 = 0. Let f = 35 - 40. Suppose 5*m + j = -0*j + 11, 0 = -4*m + 4*j + 4. Sort f, -1, m, t in decreasing order.\nAnswer: m, -1, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12016474 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**3 - 2*p**4 - 16*p**2 - p**3 + 10*p**2 - 2*p - 2 in the form n*p + u*p**3 + f*p**4 + b + m*p**2 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10450, 10449, 10448?\nAnswer: 10447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 + -492020?\nAnswer: -492000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1 - (13 + 9 + -18). Let f be (-6)\/((-108)\/(-30))*n. Solve f*p - 16 = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a milligram in micrograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 + g**2 - 26*g**3 - 5*g**2 + 16*g**3 + 4*g**2.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -1\/4, 0.36, -10\/13, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2030.192 and 0.082.\nAnswer: 166.475744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16523917 rounded to the nearest 1000?\nAnswer: -16524000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11063, -22120, -33179, -44240?\n\"Answer: -s**2 - 11054*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (-1 + (-5 - (5 + -3)))) + -7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/323 and -35\/11.\nAnswer: 3553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/7*(475 - -1). Suppose 0 = -4*s - 0*s + c. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, -36, -278, -572, -930, -1364, -1886, -2508?\nAnswer: -3242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(8\/3)\/((f**(-4)*f)\/f**(1\/2))*(f\/(f*((f**(-1\/5)\/f)\/f*f)\/f)*f*f\/f**(-2\/5))\/(f**(1\/3))**(-7\/8) assuming f is positive.\nAnswer: f**(1327\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 4*z**2 + 5*z + 3. Let w be u(-5). Let m = 3 + w. Let a = m + -4. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43818 and 1004?\nAnswer: 21996636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2 = 4*p - 4*s, -3*p - 3*s = 6. Let t be (-4)\/(-2) + (-2 - p). Which is bigger: 3\/17 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 139.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k**5 - 10*k**4 + 36*k**3 + 14*k**2 - 56*k + 24 = 0.\nAnswer: -2, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69263?\nAnswer: 69263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -11*a**3 - 7*a + 9*a**3 - 5 + 6*a**2 - a**2. Let p(f) = -3*f**3 + 8*f**2 - 11*f - 8. Determine -8*c(r) + 5*p(r).\nAnswer: r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 0 + (-6 - 31) + (2 - -4) - 6?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**4\/24 + r**3\/3 - 8*r**2. Give v(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3145142555.\nAnswer: 5, 16487, 38153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3291, -6558, -9795, -13002, -16179, -19326?\nAnswer: -22443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + sqrt(1331))**2*-5.\nAnswer: -6735 + 440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/5)*m*m**5*m*((m**(-1)\/m)\/m)**(2\/47))\/(m**9\/(m\/m**(-4)))**48 assuming m is positive.\nAnswer: m**(-43364\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from inhnnnkhkchinik. Give prob of sequence kk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c**2 + 6*c + c**3 - 44 - 7*c - 7*c + 4*c**2 - 3*c to a*c**3 + p*c + b*c**2 + m and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-2)*(-30)\/126.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -14*c - 5. Is x(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 9*o + 2 + 17 + 10*o**2 + 11 - 5 + 2. What is d(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/1792 and 9\/8.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 171870 divided by 5729?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -505635 (base 10) in base 13?\nAnswer: -1491c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.852 and 0.17?\nAnswer: -0.31484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 12 = -0*q + 2*q, -2*w - 5*q = -17*q + 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10912571693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 44 (b) -5 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**2 + 705880*x + 45899100 = 0.\nAnswer: -65, 176535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-14) + (-17688755081)\/(-1453648). Let f = l + -57\/181706. Let q = f - 12165. What is the common denominator of q and -67\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3459 = -3*n - 0*n, -b + 3445 = 4*n. Let v be (-2)\/5 - 153\/(-45). Suppose -v*q + 0*q = -b. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 811702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -v - 1. Let a(g) = -9*g - 7. Let w be a(v). Solve 0 = 4*d - 3*h + w, -2*h + 7*h - 10 = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7005617?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*k - 5*k - 8*k + 3)*(174 - 79 + 71).\nAnswer: 332*k + 498","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n**4 + 57*n**4 - 2*n**4 + (-3*n**3 + 3*n**3 + 3*n**3)*(-9*n - 5*n - 17*n) to the form r*n**4 + w + v*n**2 + o*n + k*n**3 and give r.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65654, 131306, 196958, 262610, 328262, 393914?\nAnswer: 459566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 6, -3, -16?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12104317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -678514655418 and 284.\nAnswer: -678514655134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 0 (c) 3.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**2 + 8*o**2 - 4*o**2 - o**2.\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4747702 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46775503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(((-6422)\/76)\/(-13))*13?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*p**3 - 6*p**3 + 0*p**3 - 1 to the form k*p**3 + n + b*p + f*p**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t - 5*f = -14, t = -3*f + 14. Suppose t*j - 2*j = 12415044. Suppose 0 = -2*a + 405413 + j. Round a to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16119360.\nAnswer: 2, 3, 5, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-4)\/8*(-4)\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*o - 7*o - 50 + 5 + 45 - 17*o.\nAnswer: 211*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffifffi. Give prob of picking 4 f.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 5:32 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2696352 micrometers in kilometers?\nAnswer: 0.0000000002696352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/30*3\/(-5). Let q = -20.7 + 20.4. What is the closest to -1 in q, p, -0.06?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -877511 (base 9) to base 6.\nAnswer: -15121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 109\/1195?\nAnswer: 109\/1195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2\/3 (b) -3\/8 (c) -1 (d) -398658 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2796054 to the nearest integer?\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-245)*(-3)\/((-6)\/14)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1555847*t + 5 - 4 - 1555849*t.\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 2*x**2 - x. Let o be z(-2). Let l(h) = -4*h**2 + 5*h**2 - o*h + 3*h - 5 + 2*h. Give l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 80\/((-8)\/(-3 - 1)). What is the highest common factor of p and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-28)*42\/144)\/((-9)\/(-12))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*u = 260, 0*u - 5*u - 190 = -3*f. Calculate the common denominator of 0 and 15\/(-105) - 613\/f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -16*r + 1. Calculate v(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9*w - 2. Let u be l(7). Suppose 0 = -t + 175 - 205. Let d = t - u. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302020 (base 4) in base 15?\nAnswer: -e3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*a - 6. Let k = -544892\/53 + 10281. What is the nearest to -0.1 in -0.3, k, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 15. Let z = 5 - g. Let f = z + 22. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -223*f + 232*f - 215*f + (-f - 3*f + 2*f)*(3 - 4 - 1) + 2*f + 3*f - 6*f + 4 - 4 - 2*f + 2 - 3 - 3*f + 2 - 2*f + 7*f - 9*f to z*f + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396726877?\nAnswer: 396726877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0 (b) 0.043 (c) -562 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + a + 6. Let u be o(6). Let r = u - 28. Suppose -5*c + 0*c = 4*b - 85, r = b + c. What is the remainder when 29 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - o. Let p(v) = -5*v**2 - 9*v - 7. Let j be (2\/4)\/((-1)\/(-8)). Let r(b) = j*w(b) - p(b). Is r(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18.219 * 5\nAnswer: 91.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5\/2 + 571*r**4 + 2337*r**3\/2 - 28039*r**2 + 12464*r + 137280 = 0 for r.\nAnswer: -8, -2, 3, 5, 1144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 835962 divided by -1?\nAnswer: -835962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000010011 + 0?\nAnswer: -100000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 7:20 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*((-3 + 0 + 1)*(-a + 2*a + 0*a) - 32*a + a - 39*a).\nAnswer: 72*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v - 2. Let m(s) = -s + 2. Let o(y) = 2*y - 2. Let l(c) = 4*m(c) + 3*o(c). Suppose 0 = -5*w - 17 + 2. What is w*l(t) - 2*g(t)?\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**4 - 83*u**3 + 2*u**2 + 166*u**3 - u - 42 - 84*u**3 in the form j*u**4 + b*u**3 + x + t*u + k*u**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 125 in -1, 0.1, -0.05, 0, -146?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(968) + -4)*-1.\nAnswer: -22*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 232*a. Let w(v) = 60*v**2. Determine u(w(m)).\nAnswer: 13920*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**3 + t**2 + 8*t + 2. Let d be y(-2). Solve 4*x - d = -3*z, 0*z = -z + 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**5\/30 - o**4\/12 + o**3\/6 - 8*o**2. Let h be w(1). Solve g - 2*g - h = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(12)\/(sqrt(486)*-2).\nAnswer: -sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15848 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*6\/16*-4. Factor 7*j**3 - 2*j - 1 + 10*j**4 + 3*j**5 - 1 - 3*j + a*j**3.\nAnswer: (j + 1)**4*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -131, -291, -515?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**6\/15 + 17*q**5\/5 + 35*q**4 + q**3\/6 - 368*q. What is the third derivative of w(i) wrt i?\nAnswer: 48*i + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6*v\/(v\/v**(-4)))\/((v\/((v*v**(1\/10)*v)\/v)*v*v)\/v**6) assuming v is positive.\nAnswer: v**(61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -16*t**6\/5 + 97*t**3\/3 + 61*t + 1. What is the second derivative of q(c) wrt c?\nAnswer: -1152*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = d - 28, 18 = -x + 4*x + d. Suppose 3*c - x*h + 7*h = -4, 3*h = c - 17. Differentiate -30 - 84*w**2 + 0*w**4 - c*w**4 + 95*w**2 with respect to w.\nAnswer: -8*w**3 + 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50267244 + 50267233.60000166. Let f = -10.4 - m. What is f rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -933?\nAnswer: -2\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 12. Put -1, d, -9 in decreasing order.\nAnswer: d, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 10 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**5\/5 + 8*b**4\/5 + 78*b**3\/5 - 68*b**2\/5 - 80*b + 384\/5 = 0.\nAnswer: -4, -3, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 662*s**2\/11 - 64*s\/11 = 0.\nAnswer: 0, 32\/331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1240?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*j - o, 0*o = 3*j - 5*o - 26. Suppose -j*w = -d - w + 10, -5*d + 3*w = -42. Suppose d*u - 2120 = 2*u. What is u rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -188*i + 171*i + 931719. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -2\/9, -1509?\nAnswer: -1509","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26635 + -1137. Is 122 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.6 - 46.6. Let y = 35.4 + z. What is the closest to -2\/7 in -0.3, y, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -299497 + 299496.729803. Let f = 0.27 + n. Round f to five dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1992570 divided by -19535\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4))**(-2\/9)\/(z*z*z**1*z)**(-46) assuming z is positive.\nAnswer: z**(3311\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0499 - -5.7301. Let f = 3.78 - i. What is the third smallest value in f, -5, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*k - 23*k - 10*k)*(-4 + 3 + 3)*(-18 - 96 - 29) to the form d*k + s and give d.\nAnswer: 6006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 0*l - l**5 + (2 - 2 + 2*l**4)*(-4*l + 3*l - l) + l**2 - l**2 - l**5 - l**5 + l**2 - l**2 - 2*l**5 - l**4 + l**4.\nAnswer: -9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r - 24 + 24.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 59\/5 of a millennium?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 7 - -9) + 0 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 5*m**2 - 3*m + 1. Let g be v(4). Suppose -q = g*a - 9, 0 = -4*q - 4*a + 31 + 21. What is the smallest common multiple of q and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w = 417 - 1081 - 18 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66281305 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 2*i - i)*(-29 + 4*i**2 + 29 + i).\nAnswer: 4*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29879 is divided by 854?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*x + 16. Is 6\/21 - 204\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/532 and -67\/7296?\nAnswer: 51072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 145*w**5 + 463*w**2 - 1147. What is the second derivative of r(i) wrt i?\nAnswer: 8700*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 0 - 3\/2*k**2 - 3*k + 1\/6*k**3. Determine y(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7432\/3 - 2456. Let y = u - 190\/9. Let i = -77\/30 + 19\/10. Which is the second smallest value? (a) -2 (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3803419155 plus -156.5?\nAnswer: -3803419311.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -336*2\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 9. Suppose -4*y = c*l - 94, -4*y + 27 = 2*l - 1. Suppose -4*r + 7 + 33 = 0. Calculate the smallest common multiple of l and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 3805?\nAnswer: 3804.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 979, 3853, 8647, 15361, 23995, 34549?\n\"Answer: 960*u**2 - 6*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*5 - sqrt(6)\/sqrt(2)*-2)*-2.\nAnswer: -44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10289.01 + -10289. Is h at least 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -336, -672, -1008, -1344, -1680, -2016?\n\"Answer: -336*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11570 - 8a?\nAnswer: -1161a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 697 - 697.1. Let o = -32\/35 - -6\/5. What is the biggest value in 2, o, t, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91993 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 16. What is s in -60*s**2 - 2*s - 5*s**4 - 46*s**3 + 20*s - 3*s**y + 0*s = 0?\nAnswer: -3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 8) in base 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m - 16. Give z(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -611, -1228, -1843, -2456, -3067, -3676?\n\"Answer: a**2 - 620*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -8*m**3 + 4*m**2 - 6*m + 1. Let o(z) = -8*z**3 + 5*z**2 - 7*z + 1. Let s(q) = 5*g(q) - 4*o(q). Calculate s(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**6\/60 - 5*o**4\/24 + 2*o**2. What is the second derivative of j(w) wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5012.728 weeks to seconds.\nAnswer: 3031697894.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 5\/6585714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 524748524?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -378*x + 231 wrt x.\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 24*q. Let v(g) = 15*g**2. Give v(p(x)).\nAnswer: 8640*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563 is divided by 113.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, l: 4, i: 4, b: 2}. What is prob of sequence bmb?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -5 - -6353)*-600. What is q rounded to the nearest 100000?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002776 to 7 dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 630 = 3*l, -l = 2*l - f - 670. Calculate the remainder when l is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.2856?\nAnswer: 0.5712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*q - 17 + 1, -q + 35 = 5*k. Suppose -2*i = -k*i + 4. Let b be 1*3 - (2 - i). Solve -1 = x + b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**2 - 2 + 315*w + 0 + 3*w**4 + 3*w**2 - 10*w**3 + 0*w**2 - 303*w to l*w + n*w**4 + d*w**2 + x*w**3 + i and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-21) + -1)\/((-21)\/(-441)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/75 of a hour?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1014?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(0 - -1) - -3. Suppose 0 = y*t - t - 9. Factor -4*l**3 + 4*l**t + l**3 - l.\nAnswer: l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2928\/432 - 7\/1. What is the second biggest value in 22\/25, -1, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 16.5. Let n = j - -3.5. What is the closest to 2 in -3\/4, -4\/7, n?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*w = -99*w + 17. Calculate the remainder when 79 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 6\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 266896681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-3) - 1 - (-16)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*i + 402*i - 1100100. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 25\/(1*(-3)\/(-21)). Let q = 415 - u. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 413016, 826035, 1239052, 1652067, 2065080, 2478091, 2891100?\n\"Answer: -u**2 + 413022*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 19*y + 2 + 12*y - 7*y. Let s be u(2). Let n be 2*1 - (-72)\/4. Calculate the highest common factor of s and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -36, -110, -256, -498, -860, -1366?\nAnswer: -2040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6 and -418050311113.\nAnswer: -418050311107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2100 + -731. Is 19 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 11691079?\nAnswer: 11691079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1105335 (base 6) in base 8?\nAnswer: -154533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4\/3 - 20*o**3\/3 + 50*o**2 + 1000*o\/3 - 5000\/3 = 0.\nAnswer: -10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207 and 72243?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -64*k - 2. Let q be x(-2). What is the highest common factor of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**1)\/m**(-6\/5))**39*((m**0)**(2\/123))**(1\/5) assuming m is positive.\nAnswer: m**(819\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 i, 1 a, and 1 n when four letters picked without replacement from enzeeieaaieeeennzei?\nAnswer: 27\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 4 = 4*q, -2*k - 16 = 2*q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -336 - -222. Let n be (a\/(-10) + -3)*5. Suppose y = -2 + n. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -14, 187, -2 in decreasing order.\nAnswer: 187, 4, 2, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 3. Suppose 2*g + 14 = -16. What are the prime factors of (f + 14\/10)*g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000027029 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/4, 2\/13, 107 in descending order.\nAnswer: 107, 1\/4, 2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**3 + g**2 + 2*g - 2. Let i = 7 - 6. Let t be r(i). Let b(o) = -3*o**2 - 7*o + 7. Let y(x) = -4*x**2 - 10*x + 10. Calculate t*y(h) - 7*b(h).\nAnswer: h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/(o\/o**(1\/11))*o**(3\/4)*o*o**8\/o*o*o*o*o**(-2\/7)*o assuming o is positive.\nAnswer: o**(4175\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 818, -9, 23, 3, -4.\nAnswer: -9, -4, 3, 23, 818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/(-6))\/5*0. Let g = -21 - -25. Sort s, g, -1.\nAnswer: -1, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*g**2 - 711584*g - 1757616 = 0.\nAnswer: -10462, -42\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15.8, 0, -3\/8.\nAnswer: -3\/8, 0, 15.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 = -4*r - 6*v, -4*r - v = -7. Suppose r = 5*o - 3, 4 = -5*z + 4*o. Suppose t - 68 = -5*f + 67, z = 4*f + 3*t - 119. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -25*w + 5. Let f(j) = -25*j + 4. Calculate 4*f(p) - 3*t(p).\nAnswer: -25*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29, -44, -57, -68?\n\"Answer: j**2 - 18*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 6:56 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 16*v**2 - 21401*v - 128032. Calculate h(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2. Suppose 9*b = 16 + 11. Let y(p) = -p**3 - 18*p**2 + 16*p + 16. Let w(n) = b*h(n) + y(n). Is w(-16) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzfadfddaddfdfffxdf. What is prob of sequence fdd?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**2*j**2*p*z + 3*b**2*j*z + 200*b**2*z**2 + 5*b*j**3 + b*p*z**2 - 3*j**3*p*z**2 - 9*j**2*p*z wrt z?\nAnswer: 400*b**2 + 2*b*p - 6*j**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5421229 is divided by 225883.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + 115. Let m be (-4)\/6 - h\/(-3). Let p = -29 + m. Calculate the remainder when 26 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, -5, 0.4, -140\/9, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -214 - 104212240?\nAnswer: -104213004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 26935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003701 (base 10) in base 8?\nAnswer: -3650265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*j = 14 + 3, 2*j = 5*u + 13. Let c be u\/((-11)\/(55\/30)). What is the nearest to 0.1 in -2\/5, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8) + 6\/(24\/(-19)). Let g = -153 + 154. Which is the closest to g? (a) -2\/5 (b) 3\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3735.\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377135997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 u, and 2 j when four letters picked without replacement from jeejijiejuji.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/442)\/(41\/(-1066)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 951.6395l in millilitres?\nAnswer: 951639.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 7:34 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*j + 62*j = -2*h - 20, -2*h = 5*j - 20. Which is bigger: 30\/23 or h?\nAnswer: 30\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 65 = -924*w + 47 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 78366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/19 - 57976*z\/19 - 73833510\/19.\nAnswer: -2*(z + 1335)*(z + 27653)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6759, 13544, 20319, 27078, 33815?\n\"Answer: -u**3 + u**2 + 6789*u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19344 = -432*k + 420*k. Suppose -32*b - k + 5740 = 0. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6*n = -1012. Let u(f) = f**2 + 4*f - 6. Let h be u(2). Suppose 0 = 4*a - h*a + 46. Calculate the greatest common factor of n and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2852602021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 4*r**3 + 0*r**3)*(-2 + 2 + 2*r) + (2*r**4 - 4*r**4 + 3*r**4)*(4 + 5 - 3) + (-2 + r + 2)*(-12*r**3 - 9*r**2 + 9*r**2).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21299, -39681, -58063, -76445?\n\"Answer: -18382*q - 2917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2501362 and 1102930?\nAnswer: 4162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -4, 56, 112 in increasing order.\nAnswer: -4, -2, 2, 56, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4370*r - 9167*r - 5962*r + 557*r in the form g*r + s and give g.\nAnswer: -10202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/70 - (-14)\/5. Solve 8 = a*c - 5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285.66 kilograms to micrograms.\nAnswer: 285660000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74001 and 357.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 6 + -7 + -1 + (-92 - -162)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/38 and 10\/395743.\nAnswer: 15038234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) -5 (c) -0.09 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 101311, 405288, 911917, 1621198?\n\"Answer: 101326*a**2 - a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 9:46 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w + 3. Let r be ((-48)\/40)\/(3\/(-10)). Suppose -r*u + 2 = -18. Solve w*a - u*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -516 (base 7) to base 4\nAnswer: -10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 11. Let u be g(6). Let o(a) = -a + 1. Let b be o(-4). Suppose 1 = -2*j - b. What is the second biggest value in j, u, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1836596 is divided by 194?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 + -54.3. Let d = -25.7 - -28. Let l = z + d. What is the second smallest value in -0.4, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (11\/616)\/(2256\/4088) and -91\/18.\nAnswer: 6768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 331736)*(40 + -41) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 1. Let a(q) = -8*q + 7. Let y(p) = -4*a(p) - 28*h(p). Let w(z) = 2*z + 6. Let l(x) = -6*x - 9. Let r(g) = 6*l(g) + 9*w(g). What is r(y(s))?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*q - 5 = -1, 4*q = 8. Suppose 10 = -s + 5*u, s - 3*u = -3*s + 11. Let a be (s - 2)*76666 - (l + -2). What is a rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15879*t - 12022.\nAnswer: 15879","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3244557928.\nAnswer: 2, 23, 17633467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - a**2 + a - 20. Let i = -69 + 71. Let w(k) = -4*k**2 + 9*k - 2. Let n be w(i). What is j(n)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*c = -c + 4, 3*l = -3*c + 3. Suppose -2*g + 16 = 2*g. Suppose -2*o - 22 = -g*o. Solve 4*i - o = r + l, -5*i + 4*r = -26 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1258 - -1998. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1591 or -1\/2007?\nAnswer: -1\/2007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 615039 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 21 = -b, 0*b - b = d - 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -4) + -11 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1782919770?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 + 0*y**2 - 6*y**2)*(0*y**2 + y**2 - 2*y**2 - 2*y**2 + 4*y**2 + 4*y**2 - 3*y + 3*y + 2*y**2 + (2*y - 3*y + 3*y)*(0 + 2*y + 0)).\nAnswer: -22*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -16*l - 9*l - 6*l + 41*l. Let a(n) = 11*n**2 - 2*n. Give a(b(g)).\nAnswer: 1100*g**2 - 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111005 (base 7) to base 5.\nAnswer: 1111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -2*c**8\/21 + 17*c**4\/8 - c**2 + 25. Find the second derivative of f(r) wrt r.\nAnswer: -640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**5\/10 - 154*h**2. Let x(v) = 0*v**2 - v**2 + 3*v**2. Give x(n(a)).\nAnswer: 72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 98874.81453 rounded to the nearest integer?\nAnswer: 98875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5 = 61157*x - 61154*x, 0 = -8*y - x + 21 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 841510 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 616 + -516. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 470 + -909. Let z = u + 436. Sort -0.09, z, -8\/7 in increasing order.\nAnswer: z, -8\/7, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17454247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(-5)*o*o)\/o*o*o)\/(o*o**(-1\/7)*o))**(-24))**(-35) assuming o is positive.\nAnswer: o**(-2400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.9 + 1.9. Which is the nearest to u? (a) -1\/5 (b) 2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -11. Suppose -2*g + 15 = -b*i, -g - 12 = g + 4*i. Suppose g = -2*p - 5*p + 259. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, -1 in descending order.\nAnswer: 7, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 366013 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -364.9 - -360. Let l = 4.2 + k. Put -10, 0.2, l in ascending order.\nAnswer: -10, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6282851 years to months.\nAnswer: 7.5394212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18792 divided by -4.\nAnswer: 4698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232033 to the power of 1\/2, to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2*-5*12\/48?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 7:12 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/2 - 10242*m - 18180855\/2.\nAnswer: 3*(m - 7623)*(m + 795)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 188*u**2 - 50*u - 1 + 146*u**2 - 312*u**2 - 1 to the form l + w*u**2 + j*u and give j.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 67 - 73 = 2*y, -3*y = -5*j + 11. Let b(w) = 6*w + 3*w**2 - w**3 + 0 - 6 + 4 - 5. Determine b(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103616 is divided by 1114?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -58, -69, -84, -103, -126, -153?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 42\/(-10) - (-2 - ((-16)\/2 - -11)). Factor 1\/5*l**2 + b*l - 1.\nAnswer: (l - 1)*(l + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4395 divided by -879?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311300220 (base 5) to base 9.\nAnswer: 2353043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**2 - 126*k - 75. Calculate u(-24).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 6*j - 4. Let r be i(-1). Is ((-1)\/r)\/(29\/(-4263)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, 4744, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3655948682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69\/341 or 0?\nAnswer: -69\/341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1054 and 496?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 985 - -24?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 18. Let n = 163 - 158. Which is the third biggest value? (a) n (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 + 3*a**2 + 17*a + 13. Let k be n(4). Is k less than -9\/196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4598*a**3 - 739321*a + 4602*a**3 + 739321*a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7575 and -128736.\nAnswer: -121161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*m + 12. Let h(o) = -54*o + 11. Let n(i) = 18*i - 4. Let v(q) = m*h(q) - 17*n(q). List the prime factors of v(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (2 - 3) + -6 + 11 + 6\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3490551 divided by -9.\nAnswer: -387839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o + 2*o + 16*o - 2*o)*(-46 + 46 - 2*o**3 - 47*o**2).\nAnswer: -50*o**4 - 1175*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 6*r - 4. Let g be z(-7). Find the third derivative of 16 - 16 + 5*d**g - d**2 wrt d.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**15)**45 assuming c is positive.\nAnswer: c**(-630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.67, 3\/2, 8, -1.4, -0.64?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*k - 39*k - 2*s + 6, 9 = 3*k + s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8893.1 + 8936.081. Let s = p - 43. Let t = 0.281 - s. Which is the nearest to -0.1? (a) 2\/15 (b) t (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11108*f**3*j**3 + 4*f**2*j**3 + 14*f*j**3 - 3*f*j**2 + 18*j**3 + 405*j wrt f.\nAnswer: 66648*f*j**3 + 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 + 14*f - 12. Let h(n) = -5*n**2 - 26*n + 24. Let j(u) = 7*c(u) + 4*h(u). Let i be j(4). Solve i - 19 = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5766048, -11532057, -17298066, -23064075, -28830084, -34596093?\n\"Answer: -5766009*g - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by -28.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - 2*q + 13 + 4510*q**2 + q**4 - 4499*q**2 + (-q**2 - q**2 + 0*q**2)*(q**2 - 3*q**2 + q**2).\nAnswer: 3*q**4 + 11*q**2 - 2*q + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*j - 480 = 3*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -25981*b. Let l(v) = 2*v**2. What is l(s(m))?\nAnswer: 1350024722*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2572653.\nAnswer: 3, 857551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/3815, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23368 and 1040?\nAnswer: 3037840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n - 1. Determine y(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1523046 (base 7) to base 9\nAnswer: 345630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4940 and 12035.\nAnswer: 11890580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y - 2*y + y)*(795*y**2 + 1645*y**2 + 4899*y**2) to the form s*y**2 + g*y**3 + c + l*y and give g.\nAnswer: -7339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.94 + -0.06. Let g = 2174 - 2176. What is the nearest to 1 in -6, g, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84.6 + -84.6102. Let b = m - -7.0102. What is the nearest to b in 1, 2, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/23, -1\/45, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 6*j - 6*j)*(-141*j**2 + 190*j**2 - 214*j**2).\nAnswer: 330*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10675747 times -0.4\nAnswer: 4270298.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d. Let x(o) = -10*o. Let s(y) = -12*w(y) + x(y). Let v(t) = -14*t**2. Determine s(v(g)).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -12120112222?\nAnswer: 12120120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j\/j**(-6)*j*j*j*j**(-22) assuming j is positive.\nAnswer: j**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 54593381 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17872 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(20) + 3 - (2 + sqrt(45) - sqrt(5))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/14)\/(300\/63)*154\/(-3927)*-51\nAnswer: -9\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8062028 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22476 and -0.41.\nAnswer: 22475.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170.77mm to centimeters.\nAnswer: 17.077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, t: 1, p: 1}. What is prob of sequence tp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(252))**2 + (sqrt(847) - -1*sqrt(847)*-3)**2.\nAnswer: 4397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122868, -122813, -122758, -122703?\nAnswer: -122648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*1 + 2 - ((sqrt(325) - (sqrt(325) + 2 + 1)) + sqrt(325) - sqrt(325)))**2 + -5.\nAnswer: 50*sqrt(13) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4823 and -0.5.\nAnswer: 2411.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 24279 = 4*c, -49*i + 46*i + 24255 = 4*c. Calculate the highest common divisor of 36 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/5 (b) 2\/3 (c) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 1096, -0.25 in decreasing order.\nAnswer: 1096, 3, 0, -0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**11)*n**5)\/(n*(n\/n**(-3))\/n*n*n*n*n*n*((n*n**(-2\/3)*n)\/n)\/n) assuming n is positive.\nAnswer: n**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 + ((-2)\/14 - 2600\/273). Let q(x) be the third derivative of 1\/60*x**6 - 1\/30*x**5 + 0 - z*x**3 + 8*x**2 + 0*x + 1\/12*x**4. Determine q(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 divided by 53?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -1, 6, 771 in increasing order.\nAnswer: -1, 1, 2, 6, 771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174 - 109 - 115 - 109 - 828*k + 507.\nAnswer: -828*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 793983 and 3552?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 1:51 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 2. Suppose 49*r - 45*r - p = 0. Let u(w) = -2*w**2 - 1. What is u(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 s when four letters picked without replacement from {s: 5, i: 9}.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a (base 16) to base 2.\nAnswer: 10011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**2 - 12*n - 22792 = 0.\nAnswer: -74, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 p when four letters picked without replacement from zpzzzp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**2 + 10*j**2 - j**2.\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -97*w**3 + 7*w**2 + 5*w - 7. Let v(y) = 49*y**3 - 4*y**2 - 3*y + 4. Let f(m) = 3*g(m) + 5*v(m). Is f(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/((-5)\/2) + 0. Calculate the least common multiple of (-2)\/5 - 84\/(-10) and (f + -6)\/((-6)\/3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 - -52. What is the highest common divisor of 80 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*c**3 + 11*c**3 + 5*c**5 + (-1 + 3 - 3)*(0*c**4 + 0*c**4 + 11*c**5).\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*i**4 + 2*i + 0 - 1 + 3*i**3 - 3 - 2*i**2 + 42*i**4 as a*i**4 + m*i + h*i**2 + p*i**3 + f and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110 - -109.68. Let j = -0.02 - m. Let t = -20.4 + 20. Sort j, -2\/3, 2, t in decreasing order.\nAnswer: 2, j, t, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144959.2 + 879265.\nAnswer: 734305.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 202100001202 (base 3) to base 4\nAnswer: 1201232030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*(-4)\/6*-15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4114387 micrograms in kilograms?\nAnswer: 0.0000000004114387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1260\/(-240))\/((105\/80)\/(-7))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + v)*(7*v**2 + 14*v**2 - 2*v**2).\nAnswer: 19*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 483*d**2 + 1 + 5*d**3 + 0*d**3 - 2*d**4 - 508*d**2 - 3*d**3 - d in the form w*d**2 + f*d + u + p*d**4 + q*d**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5380555?\nAnswer: 5, 1076111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2873133656?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -46887409 and -0.3.\nAnswer: 14066222.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -56622 (b) 2\/3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -5) + 2 + 0 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15177 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 7*r - 68. Suppose r*x - 15*x = 10. What is the second derivative of 5*v + 15*v**x - 10*v + 15*v wrt v?\nAnswer: 300*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 5*x - 6*x + 62789, -3*q = -4*x + 62786. Let h = 3181339\/152 + q. Calculate the common denominator of h and 46\/19.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*y = -41, -y - 79 + 92 = 4*h. Let v be (-8)\/(-2 - 0) - -3. Let u = -3.5 + 0.5. What is the second biggest value in v, h, u, 5\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -407.983685 and -604.\nAnswer: -1011.983685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*c**4 + 1923*c**3 + 642*c**2.\nAnswer: -3*c**2*(c - 214)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 1278 = -0*x. Let t = x - 131. Solve 0 = -5*w + 2*p - 19, 6*w + 2*p = w - t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40114037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18\/6 - 10 - -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(-6))\/j)\/j**0)\/(j*j**(-1)*j)**(3\/4))\/((j*j**0)**(-20\/9)*j**(-6)*j**(3\/8)\/j) assuming j is positive.\nAnswer: j**(151\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from rxkqxfm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b**2 - 8*b - 4. Let g(z) be the second derivative of -z**4\/12 - z**3\/6 + 2*z. Suppose -3 = -2*r - 5. Let k(f) = r*y(f) + 4*g(f). Factor k(o).\nAnswer: (o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 117 + -107. Calculate the highest common divisor of s and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1764537?\nAnswer: 3, 23, 107, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7751*f - 410849. Give b(53).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + p - 5*y + 222 = 267, 3*y + 24 = -3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhthhthhhhhh. What is prob of sequence tht?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 51579149133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 15*x**2 + 7*x - 49. Let y be (-125)\/75 + (-37)\/3. Is 16 a factor of t(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 10, -2*a = -z + 4*z. Let b = 2 - 0. Sort b, a, 1 in decreasing order.\nAnswer: b, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 71752680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -223.\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21846897 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -7*z + 52, 356*z - 3*y = 354*z - 3 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 27?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + -32340843?\nAnswer: -32340858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 3. Let a = q + -4. Let z = a - -13. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*t**5 + 22*t**4 - t**4 - 2*t**4 - 5*t**5 + 55*t wrt t.\nAnswer: -20*t**3 + 228*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**5\/15 + 7*p**4\/2 - 49*p**3\/3 - 95*p**2\/3 - 2898. What is j in b(j) = 0?\nAnswer: -1, 0, 5, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2465065 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 4*v + 1. Let f be g(2). Suppose 0 = -f*r - 3*p + p - 9, 2*r - 6 = -4*p. Let q be (-1)\/((-1)\/(-14)*r\/6). Is q < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (162\/(-1638))\/(183\/4270).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 12*s**2 + 25*s + 41. Let f be a(-4). Calculate the greatest common factor of 418 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1335 is divided by 228.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44230924?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 10 = 4*v, -2*f + 7*f + 3*v = -2. What is the first derivative of 0 - 6*o**2 - 9 + o**f wrt o?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*h - 48. Solve -h = 5*j - 2*b + 11, 5*b = 5*j + 40 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 173. Let o(x) = -x. Calculate b(o(v)).\nAnswer: 2*v**2 - 173","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*o + o - 2633, -5*o - 4*x = -4377. Suppose -o + 322 = -3*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is bb2291 (base 12) in base 11?\nAnswer: 1748803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/(-12))\/((-2)\/9). Let i be 2*(21\/(-2))\/(-3). Let b = i + v. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*((-150)\/225)\/((-8)\/(-3)))\/((-1)\/(-76))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5. Suppose f = -0*c + c - 4*y - 11, -2*y = -4*c - 12. Is 11 a factor of -5*((-36)\/c)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxxx. What is prob of picking 2 x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t + 4 + 2*t**2 - 1860*t**3 + 2 + 1843*t**3 to the form c*t**2 + a*t**3 + q*t + y and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212715 and 28525.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 758869355?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 1 - 9. Suppose -i + 12 = 14. Let d = i - g. Round d to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 7:12 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029273 to four decimal places.\nAnswer: 0.0293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b - 5. Let h(l) be the second derivative of -2*l**3\/3 + 2*l**2 + 2*l + 9. Determine -2*f(v) - 3*h(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 406, 37, -59 in decreasing order.\nAnswer: 406, 37, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (11320*h + 5953*h - 178*h + 10 - 10)*(-h + 1 - 1) as j*h + r*h**2 + p and give r.\nAnswer: -17095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 8:14 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (-9)\/(-27)*2238 - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 711.221474 to two dps.\nAnswer: 711.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3321?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = u - 5, 2*u + 5*w = 200 - 178 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54138444?\nAnswer: 2, 3, 4511537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 649 (base 12) to base 15.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.027747 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-110)\/15 + 7). Find the third derivative of 97*y**2 - 2*y**4 - 2 - 7*y**5 + 2*y**4 - 61*y**3 + 63*y**i wrt y.\nAnswer: -420*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2529624 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 9. Suppose 0 = -5*m - 3*k, -4*m + k = -j*k. Suppose 15 = 5*o - m*o. Solve o*l + l - 19 = 3*y, 2*l - 7 = -y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 18*l + 140. What is the remainder when 98 is divided by u(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 19. Let a = 17 + w. Suppose 4*u + u = a. Solve -3*x + 3*d + 3 = u, 0*d = 2*x - 3*d - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*i**3 + 40*i - 249*i - 205*i + 414*i.\nAnswer: 86*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 424750205 divided by 84950041?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*i**4 + 6084*i**3 + 194132*i**2?\nAnswer: -1704*i + 36504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from ttotxbk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 208*l + 217*l - 3908 - 1264 - 35203 for l.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15555755*g**4*u - 2*g**2*u + 129020*g*u + 2*u wrt g.\nAnswer: -373338120*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -23*c + 5. Let q(m) = -m**3 - 10*m**2 - 29*m - 10. Let z be q(c). What is z rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-49 - -27) + 65 - -12?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + 2e13cc6?\nAnswer: 2e13cc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*t + 27*t - 18*t - 13*t.\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbb when three letters picked without replacement from {b: 4, x: 3, a: 3, n: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.8 less than -6.30747?\nAnswer: -20.10747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-71 - -234 - 118) + (3 - 1 - -6 - -2)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 931019854.\nAnswer: 2, 2819, 165133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**4 - v**3 + 1. Let p(w) = -2*w**4 + 7*w**3 + 4*w**2 - 10. Let q(z) = -3*f(z) - p(z). Let k(u) be the first derivative of q(u). Factor k(b).\nAnswer: -4*b*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 11*u = 47544. Let r = u - -11195. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q - 2 + 2)*(-q + 0*q + 4*q) + (1 - q - 1)*(-5*q + 2*q + 0*q) in the form s*q + w + p*q**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 198*z**2 + 12*z + 15. Let a be w(-3). Suppose -249 = i - p - 598, -5*i + p = -a. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 707743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -826 divided by -826.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(76)*5 + sqrt(76) + 5 - (0 + sqrt(76) + sqrt(76)*-5*2 + sqrt(76)))**2*4.\nAnswer: 2016*sqrt(19) + 59908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -7.3749?\nAnswer: 10.3749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2823 + -2823. Which is the nearest to -4? (a) 9\/5 (b) -0.3 (c) 0.01 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*o + 50 = -135*o. Suppose 36 = 56*a - o*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1634*v**4*y**2 + 2*v**3*y + 2*v**2*y**2 + 15*y**2 + 134 wrt v?\nAnswer: -39216*v*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1370 and 4110.\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((8 - (35 - -7)) + 17 + -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/45)\/(18\/(-36)*(-8)\/(-414)). Solve -q + 6*q + 4*k = -o, k + 5 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 671, 1382, 2567, 4226, 6359?\nAnswer: 8966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -30777?\nAnswer: 1\/30777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 53*c - 459 = -4*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*d - 37 - 155 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.4 and 1.703454422.\nAnswer: -8.696545578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izmz when four letters picked without replacement from zzimi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 54768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1\/580 (c) -0.1 (d) 4\/5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scs when three letters picked without replacement from cscc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**4 - 28*j**3 - 60*j**2 - 36*j = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**3 - 2*v**2 - 2*v + 10. Let y be r(3). Suppose -3*b + y = -269. Calculate the smallest common multiple of 26 and b.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4201 + 4287. What is the remainder when 353 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-80)\/(-64)*(-3)\/1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42182*n**2*w**2 + 12962*n**2*w - 2*w wrt w.\nAnswer: -84364*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 43*g - 100. Let n be b(8). Let c = n - 235. Sort -4, -3, c, 3 in increasing order.\nAnswer: -4, -3, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**5 + 849875*m**4 - 5099223*m**3 + 7648821*m**2 = 0.\nAnswer: 0, 3, 849869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 7 + 5. Suppose -f*c = -0*c + 186000. Round c to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 18*o + 2257. Give n(-122).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 29*l**2 - 159*l + 112. What is the remainder when d(21) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of ((-12)\/(-22))\/((-17)\/(-20383))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41653 - -47777. What is q rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 9 + -5 + 3 + 1 + 432 + -8?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k - 202*k**4 - 185*k**4 - 5*k + 386*k**4 + 15*k**3 + 67*k**2 in the form i*k**2 + v*k + b + f*k**4 + o*k**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((9\/9)\/1)\/(((-60)\/4)\/735)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*q + 19, 0 = 3*z + 4*q - 0*q + 28. Let k be -170*(z - (-4 + 6)). Suppose -7*j + k = -5*j. What is j rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16478 - 13?\nAnswer: 16465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6922645 is divided by 4193.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2 - -2) + (-9)\/(-342)*19. Solve h**3 + 2\/3*h - 7\/3*h**4 - 5\/3*h**5 + 7\/3*h**r + 0 = 0 for h.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 20*c - 2. Let x be l(-20). Let q be x + 4 + (-6)\/3. Suppose -s - s + 212 = q. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-9))\/(-220)*15?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2361.\nAnswer: 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13278 is divided by 6588.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 31. Let h be (-1)\/(-1) + 229 + o. Let q = -163 + h. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a + 0*a + 5*a + (-2*a - a + 0*a)*(0 + 0 + 1) + (-215 - 85*a + 215)*(-3 + 4 + 1).\nAnswer: -172*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -c58?\nAnswer: -c59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -13. Suppose o = -4*m + 5*m - 75. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/137? (a) 1\/6 (b) -3 (c) -0.429 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2844366 is divided by 135438?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 12 = -4*g, 4*g + 20 = -d - 16. Let c = 41 - d. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 5796?\nAnswer: 46368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*n = -5, -2*s + 3*n - 4*n + 10 = 0. Let r(z) = 0 + s - 7 + z. Determine r(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4536)\/35)\/12 - -10. Which is the closest to 0? (a) 2 (b) 0.03 (c) -25 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -46*m**2 + 1094*m - 113. Give t(29).\nAnswer: -7073","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 81551 (base 13) to base 14\nAnswer: 60588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2789, -543, 1, 5, 3 in increasing order.\nAnswer: -2789, -543, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, q: 3}. What is prob of sequence qe?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2058, 2144, 2280, 2454, 2654, 2868?\nAnswer: 3084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m. Let q(d) = -8*d - 2. Suppose 2*i - 2*w + 2 = -2*i, 1 = w. Let h(a) = i*a - a + 1 + 2*a. Let f(c) = 2*h(c) + q(c). What is x(f(b))?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8605767 = 163509570\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -10 - 8)*(-3 + -3 + -5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - d + 14, 4*j = -j + 5*d - 40. Which is the closest to 1\/2? (a) j (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001 + -1?\nAnswer: 101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5\/4 - 4*c**4 - 22*c**3 - 56*c**2 - 68*c - 32.\nAnswer: -(c + 2)**4*(c + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -160, -318, -476, -634, -792?\n\"Answer: -158*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -152\/17? (a) 0 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*k = 135, -3*l + 2*k + 133 = 3*k. What is the remainder when l is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 10:37 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 16 = -2*n + 5*g, 22 = -5*n - 3*g. Which is the nearest to n? (a) 0.3 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 - 425. Let z = t - -489.07. Which is the nearest to z? (a) -1 (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*(sqrt(17) + (sqrt(17) - (sqrt(17) + 0 + sqrt(17))))*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l + 3. Let r(g) = 4*g**2. Calculate a(r(c)).\nAnswer: 12*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 + 4*x**2 - 7*x + 1. Let p be 13 - (4\/11 - (-183)\/11). Let v(f) = 4*f**3 + 7*f**2 - 13*f + 3. What is p*v(h) + 7*b(h)?\nAnswer: -2*h**3 + 3*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7786 - 3876 = -170*p for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = 0, -3*q - p + 42 = -0*p. Let d = -13 + q. Suppose 6 = -d*n + 3*n. Calculate the least common multiple of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (4 - (6 + -7)) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14412 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(5)*-1 - sqrt(5)))**2 + (sqrt(45) + 0)**2 + sqrt(5) + sqrt(60)\/(sqrt(1200) + sqrt(1200)*-3 + sqrt(1200)).\nAnswer: 9*sqrt(5)\/10 + 765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 3*m - 27 = 0, 3*n + 8 = -5*m + 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -2231032021101?\nAnswer: 2231032021031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((((z**1\/z)\/z)\/z)\/z))\/((z*z*z\/z**(-4))\/z))**(-34) assuming z is positive.\nAnswer: z**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 22. Factor s*n**3 + 1\/4*n**4 + 0*n + 1\/4 - 1\/2*n**2.\nAnswer: (n - 1)**2*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*z**6 - 11*z - z**4 + 4*z**2 - 8*z**6 + 15*z**6 wrt z.\nAnswer: -3600*z**3 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -56.\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqr when three letters picked without replacement from {n: 1, r: 2, v: 1, q: 1, c: 1, o: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 11 + (33 - 36)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23\/7 - (-18)\/(-63) and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 4*u**2 - 6*u + 19. Let r be s(-7). Is r at least -85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 10:19 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 0)*(-2*r**2 + r**2 + 2*r**2) - r**2 + 0*r**2 + 4*r**2 + 2*r**2 - 2*r**2 + 2*r**2 + 18*r**2 - 5*r**2 - 7*r**2)*(2*r**2 - 4*r**2 + r**2).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00398 to four decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 762.76 years in centuries?\nAnswer: 7.6276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-589 + 589 + 24*u)*(-4 + 4 - 3 - 5 + 0 + 3 + (-2 + 2 + 2)*(-5 - 1 + 3) - 3 + 1 + 4)*(3 + 0 - 1) as t + g*u and give g.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 20*t + 4. Suppose 0 = 5*w - 3*y - 13, 0 = -4*w - y - 3*y + 4. Is k(w) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/17 - 4163784*z\/17 + 2167137149832\/17.\nAnswer: 2*(z - 1040946)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2539 + 2593. Let f = -2.97 - 0.03. Which is the second smallest value? (a) f (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 289*l**3 - 2*l**2 - 968*l wrt l.\nAnswer: 1734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 12:22 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.2, 5, -1\/3, 10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114 + 118. Suppose -3*o = 5*d - 287, -266 = -3*o + b*d + 66. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 478 - 480. Which is the second smallest value? (a) 7 (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/4 + 1825*f**2\/4 - 55328*f + 1737728.\nAnswer: -(f - 1697)*(f - 64)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*x**2 - 2152*x + 2155*x + 31*x**3 + 15*x**3 in the form t*x**3 + j*x + g + m*x**2 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 - 5*x**5 + 12*x**5 + 2*x**2 + (4*x**2 + 2*x**2 - 4*x**2)*(x**3 - x**3 + 2*x**3) + 3*x**5 + 0*x**5 - 4*x**5.\nAnswer: 10*x**5 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 - 14 = -j. Suppose 5*a = -4*k - 6508, 2*k = 6*a - a + 6496. Let r be a\/(-76) - ((-24)\/(-57))\/4. Calculate the greatest common factor of j and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*b - 1083127 - 128633 = 0. Calculate the remainder when b is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + n - 25 = 0, 7*j - 3*j + 3*n = 19. Let o(f) = 45*f + 309. Let z be o(-8). Calculate the remainder when z\/153*-20*3 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 43.1. Let p be (-9)\/3*(1 + -2). Which is the smallest value? (a) p (b) 0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -9*w**2 + 53*w - 87. Calculate g(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by 5?\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**3 - 22*b**2 + 10*b = 0.\nAnswer: 0, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 845831006 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/12)\/(3*(-1)\/3594).\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402399 is divided by 1298.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(((-6)\/4)\/(((-486)\/(-36))\/(-9)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10)\/3*404\/20*-6.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1246*j**2*s**3 - 212*j**2*s**2 - j*q**3*s**3 + 8*j*q**3 - 215*j*q*s**2 - 171*q*s**3 wrt s.\nAnswer: -7476*j**2 - 6*j*q**3 - 1026*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581 is divided by 123?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -2\/25 (c) 27 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sorygggogr. Give prob of picking 1 y and 1 o.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5676 = -4*l - 3*d - 5771, -85 = -3*l + 4*d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y + 6*y - 269*y**3 + 330*y**3 + 1 as v*y + z*y**2 + d*y**3 + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 26, 36, 46, 56, 66?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xmjjmxjjmj. Give prob of picking 1 x and 3 m.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(6\/4) - -19. Let b = w - -3. What is the greatest common divisor of 220 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -7. Let x(r) = 13 + v*r - 13. Let j(p) = -2*p**2. Determine x(j(h)).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.6. Suppose -q - 29 = -2*f, 4*f = -5*q + 4*q - 47. Let t be (16\/28)\/((-15)\/q). What is the nearest to 2 in 5, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47605 is divided by 1918?\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*c + 66, -47 - 7 = -3*c + 3*r. What is the first derivative of -27 - 21 + 33*p + c*p + 57 wrt p?\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 15*v**2. Let l(r) = -126*r**2 + 4*r + 39. Let t(j) = 127*j**2 - 5*j - 48. Let m(c) = -5*l(c) - 4*t(c). What is m(q(i))?\nAnswer: 27450*i**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.199 + 0.741. Let r = -1 + j. Which is the nearest to r? (a) 0.1 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 - 2446406.\nAnswer: -2446415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -9, -5, 1, 247, 0.5, -51.\nAnswer: -51, -9, -5, -0.1, 0.5, 1, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 0.5 (c) 2 (d) -7 (e) -957\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + (sqrt(117) + 1)*-6 + 1*(sqrt(117) + -1 + -2) + 5))**2.\nAnswer: 120*sqrt(13) + 2941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -5. Let d = -8 + 13. What is the least common multiple of d and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 10*s - 15*s. Suppose s*d = 2*d + 70. Solve u + u = -d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10*(2 + -5*(-1)\/(-2)). Do 7 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-42)\/(-9))\/(4\/36). Suppose -3*z + m = 3*z. Solve 0 = -3*d - z + 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*d*j**3*p - 700*d*j**3 - 3*d*j*p**2 - 16675*d*p**2 + d*p - 2*j**3*p**2 wrt p?\nAnswer: -6*d*j - 33350*d - 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55863?\nAnswer: 3, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 10 = -2*f. Suppose 9 = f*x - 19. Let o be 6 + (-225)\/54 - 1\/(-6). Calculate the highest common divisor of x and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -11*l + 6. Let d be 87\/(-15) + 3\/15*-1. Let o(t) = 1210*t - 715. Let c(z) = -279*z + 165. Let y(f) = 30*c(f) + 7*o(f). Give d*y(j) - 55*m(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4115*r**5 + 1386*r**2 - 17*r.\nAnswer: -246900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q**2\/2 + 152027*q\/4 + 1243707\/4 = 0 for q.\nAnswer: -5839, -213\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 876790 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 251 by 3.\nAnswer: 251\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37.6 and 1.\nAnswer: 37.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -20*k**3 - k**2 + 3*k - 3. Suppose 0 = -3*d + 3 - 15, 0 = 5*f + 5*d + 15. Let b be r(f). Which is smaller: b or -20?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330633474?\nAnswer: 2, 3, 307, 179497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6003622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 752\/9 or 83?\nAnswer: 752\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182 = -6*x + 218 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**4\/b))\/b)\/b**8 assuming b is positive.\nAnswer: b**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10, i: 2}. What is prob of picking 2 i?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -123*f*y**3 + 2*f*y**2 - 165278*f*y - 2*f + y**3 - 645*y**2 + 10 wrt y.\nAnswer: -738*f*y + 4*f + 6*y - 1290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -166444 and -17.48.\nAnswer: 2909441.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + (sqrt(121) - (sqrt(121)*1 + sqrt(121))))*-5)\/(sqrt(132)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (17 - 1)\/(32\/688). Suppose -9*p + t - 326 = 0. Solve 0 = -2*c - 0*c + 4*s - 12, p*s = 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(4\/612*9))\/(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 10:04 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**5\/360 - 13*v**4\/48 + 197*v**2. Factor p(s).\nAnswer: s*(s - 39)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 7*p - 6. Suppose 0 = 5*f + 5*w + 60, -5*w + 342 - 352 = -5*f. What is v(f)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**6\/10 + v**4\/3 - 5*v**2 - 1. Let j(x) be the second derivative of z(x). Find the second derivative of j(n) wrt n.\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = z + z + 9, 0 = 4*z + 12. Solve -s - i = -5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578297 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**4 - 16236*v**3 + 276666*v**2 + 618260*v = 0?\nAnswer: -8135, -2, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13603 is divided by 243?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11073246 is divided by 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 7. Let k be u(9). Let y(s) = -s + 3. Let n(r) = r - 4. Let b(m) = k*n(m) + 3*y(m). Let c = 49287 + -49286. Determine b(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/158 and 28\/1423.\nAnswer: 224834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**3 - 4*n + 4*n)*(-2 - 22911*n + 5 + 24655*n - 3).\nAnswer: -10464*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 3*s**2 + 0 - 1\/6*s**3 - 1\/24*s**4 + 0*s. Give k(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 105 = -229. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3979643858 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 26*j + 52. Let g be b(24). Sort -1, 25, g.\nAnswer: -1, g, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1622868140 minus 10482?\nAnswer: -1622878622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -3, 728, 693 in descending order.\nAnswer: 728, 693, 1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, g: 1, t: 3, f: 1}. What is prob of sequence teee?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3*i**2*u - 15*d**3*i*u**3 - 14*d**3*i*u**2 - 21*d**2*i**2*u**3 - d**2*i*u**3 + u**2 wrt i.\nAnswer: -2*d**3*u - 42*d**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/6*15\/10. Suppose 0 = -3*m + s*m + 30. Let r(j) = -j**3 - 6*j**2 - j - 4. Let l be r(m). Solve -i = -l + 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -356 + 495. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -18*z - 9. What is the tens digit of f(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.1 - 13.6. Let n = -0.34 + 0.3. Put r, n, -2\/9 in ascending order.\nAnswer: -2\/9, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**4\/5 - 391*g**3\/5 - 2252*g**2 - 10868*g\/5 = 0.\nAnswer: -26, -1, 0, 418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-105) - -3*(-712)\/(-180). What is the highest common factor of l and 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 6)*(0*r + 3*r - 5*r) - r + 3*r - 3*r + (-319*r - 155*r + 658*r)*(-1 + 3 + 0) + 3*r - 2 + 2.\nAnswer: 364*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87828.\nAnswer: 2, 3, 13, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*x - 1 + (-3*x + 14*x + 6*x)*(-1 - 1 + 4 + (0 + 5 + 8)*(0 + 3 - 1) + 0 - 2 - 1).\nAnswer: 423*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 116*o**4 + 69*o**3 + 387*o**2 - 8475434.\nAnswer: 464*o**3 + 207*o**2 + 774*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 6:13 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.926165 micrograms to milligrams.\nAnswer: 0.005926165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 750520 and 225156?\nAnswer: 2251560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 - 3220*h\/3 + 22393.\nAnswer: (h - 3199)*(h - 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1353519 is divided by 1384.\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 6. Let o = r - -9. Calculate the smallest common multiple of 2 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*i**3 - 44*i**3 + 9*i**3.\nAnswer: -55*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = -6*l + 736. Let f be (-4)\/(-30) - l\/(-45). Solve -f*p - 2 = -4*y, -2*p - 2*y = p + 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 67343 and 2.\nAnswer: 134686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -481103 + 298764820\/621. Let k = s + 7\/23. Let v = -16\/11 - -37\/33. Sort v, k, 2.\nAnswer: v, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (99\/54 - 7).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -u + 7. Solve 2 - 6 = u*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17755342797 + 17755342797 + g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 = 7. Let a(i) = -i**2 + 13*i - 10. Let g be a(5). Let d be (v\/g)\/((-1)\/39). Solve -2*l + 7 = -6*l + h, 4*l + 5*h = -d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1712 (base 14) to base 4.\nAnswer: -1000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 - 91454015.\nAnswer: -91454015.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, -10, -31, -60, -97?\n\"Answer: -4*z**2 - z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 - 3*k**2 - k**2)*((3 - 4 + 0)*(0 + 0 - 1) - 15 - 5 + 3 + 15 - 45 + 2).\nAnswer: -44*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 2061\/1301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*f = 176 + 52 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 l when four letters picked without replacement from {z: 1, t: 2, s: 2, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/70 + 1*(-9)\/(-5). Suppose 2*a = 4*d - 1792, 0 = -r*d + 4*a + 1008 - 124. What is the greatest common factor of d and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7882388 divided by 1970597\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 11 = 2. Let m(h) = -3*h - v*h - 14 + 2*h. Let g be m(-4). Solve 7 + g = -3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3193, -12706, -28555, -50740, -79261, -114118?\nAnswer: -155311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 156 + -151. Let k be ((-39)\/91 - (-36)\/(-14)) + s. What is the units digit of -2*(-127)\/2 - -2*k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 241828671 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*m = -59*m - 409727. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13120085 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(108\/(-45)))\/((-75)\/6).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49.2583 - 0.1.\nAnswer: 49.1583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/5 + 63*v**2\/5 + 36*v.\nAnswer: v*(v + 3)*(v + 60)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - h - 1. Let x(j) = -2*j**3 + 4*j**2 + 2*j + 5. Suppose -40 = 630*p - 622*p. Determine p*v(c) - x(c).\nAnswer: 2*c**3 + c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(2) + sqrt(50)*1) + -2)**2*-5.\nAnswer: -205\/9 + 20*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) -0.03 (c) -2\/11 (d) -0.1 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 645 = -80*z + 84*z, -890 = -4*q - 2*z. Solve q*l = 244*l + 34 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2818, -2268, -1720, -1174, -630, -88, 452?\n\"Answer: -y**2 + 553*y - 3370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2451 (base 8) in base 16?\nAnswer: -529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - -13. Suppose 3422 = 4*u + 1078. Suppose 7*y = u + 44. Calculate the remainder when y is divided by h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 11:38 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 141 + -145. Let s(k) = 4 + 9*k - 2 + 11*k - 24*k - k**2. Calculate s(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146519\/38700 + 707\/172. What is the common denominator of y and 163\/180?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/23, 5.64, 2\/11 in increasing order.\nAnswer: -3\/23, 2\/11, 3, 5.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112023000 (base 4) to base 11.\nAnswer: 221203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 5 + (7 - -2) + 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*f**6 + 3339*f**4 - 71*f**2 + 214*f - 3 wrt f?\nAnswer: -1920*f**3 + 80136*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -274, -1067, -2382, -4213, -6554?\n\"Answer: z**3 - 267*z**2 + z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 153\/5 + -146\/5. Let l(h) = 2*h**2 - 17*h. Let b be l(9). Suppose r + b = 10*r. Which is bigger: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -10. Let v be ((-7)\/10 - 0) + 3\/15. What is the nearest to f in 2\/7, -19, v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/3198 and 32\/1372527?\nAnswer: 112547214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 7 = -5. Suppose z + z = 3*f - 76, 4*f - 83 = -z. Calculate the remainder when f is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**3 + 370*t**2 - 250*t - 257. Determine l(-124).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 7357*x**3 - 10*x**2 - 262*x. Let h(l) = -7357*l**3 + 11*l**2 + 286*l. Let u(n) = -3*a(n) - 2*h(n). What is the third derivative of u(k) wrt k?\nAnswer: -44142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/11))**33 assuming y is positive.\nAnswer: y**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m + 332. Let v be c(-41). Put 15, v, -3, 2 in descending order.\nAnswer: 15, v, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x - 16. Suppose 5*b = -15 - 10, -2*b = 2*i - 18. Let l(f) = -i + 0*f + 9 + 2*f. What is 10*l(u) - 3*q(u)?\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2*-7)\/(-2) + 0. Let d(g) = -g**3 + 8*g**2 - 5*g - 7. What is d(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 345, 341, 335, 327, 317, 305?\n\"Answer: -h**2 - h + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 138 (b) 1\/10 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1648*y + 1661. Let i be u(-1). What is the highest common factor of i and 15405?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2642899475.\nAnswer: 5, 17, 347, 17921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8473 rounded to 1 dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1365 - -1361. Let j be (1 - 2)*0\/1. What is the biggest value in h, -7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 506336796.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*u**5 - 2*u**5 + 0*u**5 + (-4*u**2 - 2*u**3 + 4*u**2)*(-6*u + 2*u + 3*u)*(-2 - 2*u + 2).\nAnswer: 3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -448, 4, -8\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7849 divided by 6.\nAnswer: -7849\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 885233395 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-7) + 1196\/(-70))\/(33939\/113130).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + r + 0)*(-145*r - r**3 + 145*r) + (r - 2*r + 0*r)*(2*r**3 + r**3 - 2*r**3).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10333, 2.2, -0.1?\nAnswer: -10333","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15473823 is divided by 6579.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 12*t = -3*j - 17, 4*t = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 7*c - 63. What is t(-15)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 72 - 81. Solve 4*t = -13 - c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2. Let x(p) = -11*p. Let r(l) = l**3 + 6*l**2 - 2*l - 5. Let n be r(-6). Let w(c) = 6*c. Let z(q) = n*w(q) + 4*x(q). Give h(z(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/1846420 and -1\/1368475.\nAnswer: 618550700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -330548 by 4.\nAnswer: -82637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 72*c + 2. Does 12 divide k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2352 + -4?\nAnswer: 2344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*u + 3*u + 0*u)*(-1 - 2 + 2)*(-2 - 1 + 2)*(1 - 5 + 2)*(-10985*u - 1 + 5 + 10956*u) to i*u**2 + h + b*u and give i.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0939895um in millimeters?\nAnswer: 0.0000939895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/4789535 and -8\/29281.\nAnswer: 33526745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -4 (c) 0.16 (d) -67.51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -5*j - 346. Let u(l) = -9*l + 57. Let x be u(-6). Let s = x + j. What are the prime factors of s?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 12:12 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 6*j**2 + 5*j**2 + 5*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 285*v**2 + 511*v + 15561. Calculate i(283).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**5\/4 - 5*y**4\/12 - 25*y. Factor u(o).\nAnswer: -5*o**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85 (base 11) to base 15\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 900 = -7*q. Suppose -t - q - 85 = 0. Let m = t - -2973\/17. Put m, 1\/3, -3 in decreasing order.\nAnswer: 1\/3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174 + 59 + 57 + 58 + 2*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15233060*b**2 - 61708557?\nAnswer: 30466120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99550400747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - -0.3. Let q(s) = 3*s - 4*s - 2*s + 2 + 2*s. Let g be q(-5). What is the second biggest value in g, c, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -687498 divided by 565\nAnswer: -687498\/565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 402692 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 3*b + 2*b - 7, -7 = 5*a - 2*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.3. Let r = 4.2 + -0.2. Let b = -4\/5 - -29\/30. Sort p, b, r in increasing order.\nAnswer: p, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64 or 10\/377?\nAnswer: 10\/377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10910)\/(-1556) + 4 + -11 + (7 - 7). Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17937336\/5 != -3587466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (202\/(-4))\/(5*10\/(-500))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-2 + 0)) + (18 - 23)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 931 a factor of 545472980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxkxuklkkklkutc. Give prob of sequence ukct.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -190515, -380878, -571241, -761604?\n\"Answer: -190363*r - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 686.917394 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 9 = 8*w. Solve -4*t + 4*r = -28, w*t + 1 = 5*r + 26 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/7 + 57674*b\/7 - 1558656\/7 = 0. Calculate b.\nAnswer: -28864, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -8. Let p = 9 - 17. Let g = 13 + p. Solve -2*j + 4*r + 10 = -7*j, -g*j - i = 5*r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43391 (base 13) to base 7\nAnswer: -1014053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 2*g - 2. Let f be i(-2). Let o = 3 - f. Suppose 12 = -2*d - 2*d, 3*y - 114 = o*d. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -10001101110010100011?\nAnswer: 10001101110010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 14*k**2 + 18*k**2 - 27*k**2. Let i(t) = -t**2. Give n(i(h)).\nAnswer: 5*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2. Let r be 35\/140 + 15\/4. Let f(b) = -7*b - 32. Let p(k) = -2*k - 11. Let l(a) = r*f(a) - 11*p(a). Determine u(l(x)).\nAnswer: -72*x**2 - 168*x - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -28. Let q(m) = -m**2 + 10. Let n be q(d). What are the prime factors of (-8)\/52 + (-357)\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 17645 = 7*r - 23487. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(6\/45)*(-12)\/(-5). Solve -5*g + 10 = 5*w - 5, -5*w + v = 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((9\/60)\/((-16)\/5)). Let g = w + 72. Let d be (-2)\/7 + g\/28. Solve -12 + 4 = 2*b - 2*l, -4*l = d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**3 + 5*z**2 - 5*z. Let w(q) be the third derivative of q**6\/60 + q**5\/20 - q**4\/8 + 18*q**2. Calculate -6*k(c) + 10*w(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4290887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -749263.27*-3.\nAnswer: 2247789.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1\/2, -17, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (0 - 0) + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o - 12. Calculate r(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-11))\/(20\/55) - (249\/6 - 0)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53214 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 176 divided by -44\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.1 (c) 30143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.02 (b) 4\/67 (c) -37 (d) -6.1 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 833*t**2 + 14*t + 43693 with respect to t.\nAnswer: 1666*t + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -936 (base 10) to base 7\nAnswer: -2505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7 = m, -5*n + 2*n + 21 = -2*m. Let z be ((-4)\/3)\/((-1)\/m). Let a be (-1 + (-6)\/z)*-6. Sort a, -4, -1 in ascending order.\nAnswer: -4, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78*w**5 - 17*w**5 - 36 - 4*w - 3*w**3 - 81*w**5 + 21*w**5 + 5*w**3 wrt w?\nAnswer: -3100*w**3 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4127 + 12383\/3. What is the third smallest value in -603, 3\/2, r?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.336 rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 183 (c) -12\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 42*h**2\/5 + 150050*h + 71452\/5 = 0. Calculate h.\nAnswer: -17863, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*i**3 - 15*i**3 + 38*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 352.6907 years?\nAnswer: 4232.2884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 177.191845 to 2 decimal places.\nAnswer: 177.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 d, and 1 q when three letters picked without replacement from ggikygkikddq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25147111?\nAnswer: 11, 401, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -3.00008. Round t to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/11 + 23096\/22.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 + t**2 - 2*t + 1. Let g be i(1). Suppose 3*k + g*k = 0. Which is the third biggest value? (a) 5 (b) 2\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.5932 to 1 dp.\nAnswer: 20.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Suppose 0 = -2*a - a. Let x(z) = 2*z - 2 + a*z - 3*z. Determine x(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**4\/3 + o**2\/2 + 6*o. Differentiate z(w) wrt w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21\/5 of a millennium?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 900401?\nAnswer: 41, 21961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*r - 274 + 232 + 1352 = -2632 for r.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 27 = -5*o - 0*o, -96 = 2*o + 3*a - 88 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28440209?\nAnswer: 7, 1979, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470520333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**5\/20 - v**4\/3 + 4*v**3\/3 - v**2\/2 - 10*v. Let z = -8 + 2. Is m(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**2 + 4. Let n be i(-5). Let z = n - 145. Put z, 3, 4, 1 in increasing order.\nAnswer: z, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, z: 1, d: 4, v: 2}. Give prob of sequence vp.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.544524 millilitres?\nAnswer: 0.005544524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + ((-12750)\/25)\/17?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 10. Let i(x) = 2*x + 5 + 6*x - t*x**2 + 5*x**2. Let u = 32424 + -32416. Calculate i(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196113018 is divided by 681.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/10769160 and 67\/120.\nAnswer: 10769160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 38*m - 357. Let g be x(-18). Let j be ((3 - 0) + -3)\/(-2). Suppose -3*l = -j*l + 9. Put 2, l, -5, g in ascending order.\nAnswer: -5, l, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of -48800.9 and 0.3.\nAnswer: -14640.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**5\/60 - 5*p**4\/12 - 2*p**3\/3 - p**2 - 4*p. Calculate m(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 288?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 30076.7 and 1249?\nAnswer: 28827.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 23*z**2 + 5. Let d be w(2). Suppose -d = t + t. What is the common denominator of t and 73\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**3\/3 + 1. Let c(i) = 879*i + 859. Let b be c(-1). Let x(r) = 4*r**2. Calculate b*l(k) + 4*x(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > 205733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**6\/9 - 134*g**5\/15 - 71*g**4 - 1736*g**3\/9 - 584*g**2\/3 + 1928. What is f in w(f) = 0?\nAnswer: -2, 0, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4346177 is divided by 10084?\nAnswer: 10057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1310\/1093?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 8 - 7, -p - 17 = -3*s. Calculate the greatest common divisor of s and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 159364564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3132 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1.652, -0.3, -2, 13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (38\/(-5) + (-56)\/140)\/(-65). What is the second biggest value in 2, 4, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/307 or 1?\nAnswer: -18\/307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 556\/16 - (-10)\/4*((-1539)\/(-190) - 8)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5443 - -2.\nAnswer: 5445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13200341 (base 8) to base 7.\nAnswer: -34032450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.104332 * -0.5\nAnswer: 0.052166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/5*(-660)\/(-396).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 19*h**2 + 27*h + 31. Let n be c(-11). Calculate the greatest common factor of 57 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - t**2 - t**2 - 10336*t + 10336*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -23.6. Round a to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 3*w - 6. Suppose -127*n + 123*n = 0. Let y(z) = z**3 - 10*z**2 + 2*z - 7. Let k be y(10). Suppose o - 17 = -n*o + 3*d, o - k = 2*d. Give v(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -50.3395?\nAnswer: -20.1358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z - 9. Let w be o(14). Let m = -25 - w. Calculate the remainder when 77 is divided by m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*l = -10. Suppose -42*x + 14*x - 50*x + 390 = 0. Suppose -l*m = 2*w - 92, -164 = m - x*m + w. Calculate the greatest common factor of 70 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 8, 14, 20, 26?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 852125 or 852130?\nAnswer: 852125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u = -22*u - 6. Suppose -r - 4 = -5*q, -q - 4*r = -5*r - 4. Suppose 7*p - 2*p + 179 = u*g, q = g - p - 61. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/6*-5*(-72)\/(-100).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 83. Let r = a + 83. Suppose 3*t = -2*v + 62, 3*t + r = 2*v - 10. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**3 + 186*h**2 - 123*h - 1386. Give s(-47).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*k - 4, -11 = -3*k + q + 12. Suppose 2060 = -k*z + 17*z. What are the prime factors of z?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59 and 1121.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**5)**20)**(1\/44))**42 assuming h is positive.\nAnswer: h**(1050\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wggggdggwawwawsaw. What is prob of sequence aaw?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*f + 28, 4*f + 138*s - 32 = 142*s. Sort 1, 44, f in descending order.\nAnswer: 44, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1 - (4 + 2 + -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2))**(1\/15)*a**(-30)*a**(-30)\/a assuming a is positive.\nAnswer: a**(-1831\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24391 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 3, u: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2585578 and 2.\nAnswer: 2585578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10855\/(-20) - 3\/(-4))\/(-1). Let v = 7 - 2. Suppose -4*f = v*p - m - 181, 5*p + 2*f - 729 = 0. Calculate the highest common factor of 21 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 5:08 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.79248 micrograms in nanograms?\nAnswer: 792.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 - 72.22131.\nAnswer: -170.22131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 8*y + 1. Let o(s) = -8415*s**2. Calculate r(o(l)).\nAnswer: -67320*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/7)*l*l**(-6))**(2\/57))**(-1\/35) assuming l is positive.\nAnswer: l**(52\/13965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2 - 2930576*s = 0. What is s?\nAnswer: -732644, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1912140*q - 167*q**2 - 1912140*q.\nAnswer: -167*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-165))\/((54\/15)\/(-9))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -2, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -3, 16, -5079, 2.\nAnswer: -5079, -5, -3, 1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3012452747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.6358833 rounded to 3 dps?\nAnswer: -11.636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10776, 10733, 10702, 10689, 10700, 10741, 10818?\n\"Answer: u**3 - 50*u + 10825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009182011 to 7 decimal places.\nAnswer: 0.0000918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t - 3. Let a(n) = 2*n - 3. Let v be 17 + -4 + -7 + -1. Give v*m(x) - 6*a(x).\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22121201202101 - -10201?\nAnswer: -22121201121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 5 = 21. Let n = -0.1339 - -3.1339. Which is the second smallest value? (a) y (b) 0 (c) -1\/12 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111001010 (base 2) to base 8\nAnswer: -712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 517 - -106a?\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 2249*d - 11163. Determine o(5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0 (b) -4302 (c) -3 (d) -4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/5 - 172*n\/5 + 3696\/5.\nAnswer: 2*(n - 44)*(n - 42)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2390806 is divided by 26564.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -199 - -495. What are the prime factors of t?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 7\/8, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 131 - 125. Let y = 0 - -2. What is the second derivative of -7*j - 5*j**3 + y*j - l*j + 15*j**3 wrt j?\nAnswer: 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 10, -4, 5, -327.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 4, -2*s + 4 = -0*s + 2*b. What are the prime factors of (2 + 1)*3\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 5*w**2 - w**2)*(-1 + 4 - 5) + (0*w + 0*w - w**2)*(4 - 3 - 15) - 3*w**2 - 1 + 1.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-4)\/18 + 29 + 13524\/(-621). Let c = 3 + 0. Suppose c*u = 5*u - 6. Solve 0 = v + k - u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*i + 130 = 212 + 177 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140173.4 litres to millilitres.\nAnswer: 140173400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 170819354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -109, -194, -241, -232, -149, 26, 311?\n\"Answer: 3*u**3 + u**2 - 109*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7112*q**2\/9 + 23330*q\/9 + 1994\/3 = 0. What is q?\nAnswer: -3, -997\/3556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - z + 5*z + 12 = 0, 0 = -2*b + 3*z + 34. What is the least common multiple of b and 11 - ((-1)\/2)\/((-1)\/2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*d = 26, 5*z - 55 = -5*d - 0*d. Let q be (-1 + (-1)\/(-3))*z\/249. Is q at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u + 14*u**3 + 39*u**3 + 19*u**3 + 5*u + 9*u.\nAnswer: 72*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25373 (base 8) in base 6?\nAnswer: 122535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 77 = -121. Let c(a) = -15 - 3 + 4 + 2*a - 3. Let j be c(q). Solve j*f = -2*m - 5, -5*f + 2*m + 2*m - 5 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -7*p - 53 + 23 + 35, -127 = -5*y + 3*p for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*l - 60623 - 28019 = 0. Is l at most as big as 2162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u - 9*u - 4*u**3 + 9*u**3 as q + b*u**2 + w*u**3 + s*u and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -280050 to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxmxmxxxxxx. What is prob of picking 2 m and 1 x?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x - 19. Suppose 0*a = -a + 21. Let g be (-186)\/(-14) + (-6)\/a. List the prime factors of d(g).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972500297.\nAnswer: 29, 173, 193841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/37968 and -121\/2256384.\nAnswer: 15794688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*h + 5 = -149*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z - 6*v + 9*v = 143, 21 = 4*z + 5*v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 5:44 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or -443?\nAnswer: -443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6018, 6011, 6004, 5997, 5990, 5983?\n\"Answer: -7*i + 6025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from oooomxdadddddoxxo?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, -32, -106, -250, -488, -844?\n\"Answer: -4*b**3 + b**2 - 3*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6707 - 2730 - 3977 + w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-988)\/475)\/(-26))\/((-2)\/(-25))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 - 4*i**2 + 2*i**2 + (-6 + 0 + 3)*(-2*i**2 + 0*i + 0*i) + 93*i**2 + 67*i**2 + 124*i**2 - 18*i**2 in the form g*i**2 + m*i + b and give g.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -60 + 92 - 31 - (0 + 27)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/11)\/((-5904)\/5412))\/((-6)\/(-8)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6677 - -19917. Let j = c + -238433\/18. Find the common denominator of j and (3\/(-55))\/(8\/460).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/27*3 - 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 u, and 1 n when three letters picked without replacement from uyynyuumyydmhyh.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*h = -39938, 0 = 4*m - 12*h + 14*h - 79906. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from bxbcyyp?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 - w + w**3 - w - 1 + 4*w + w**4 to the form i*w**4 + b*w + v + f*w**2 + x*w**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggg. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.816617 months in years?\nAnswer: 1.65138475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1153.2 - -1153. Which is the third smallest value? (a) i (b) -0.303 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19836 is divided by 1653.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (150\/(-30)*(-2)\/25)\/((-6)\/(-426945)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = j. Let g = 51 + -13. Let b = g + -30. Solve 5*s + j + b = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*f = 2*v + 2*v - 340*f + 212, 2*f + 133 + 48 = -5*v for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 <= 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3290 and 5593?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.5988 + 9.889. Round r to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27055409 less than 297609504\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -10*l - 12. Let a be f(-2). Suppose -o + 0*d = -5*d - 169, -o = -d - 181. Calculate the greatest common factor of o and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -917, -918, -919, -920?\nAnswer: -921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**2\/7 - 13435844*d\/7 + 45130475998084\/7 = 0.\nAnswer: 6717922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7744 and 1584?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2873\/442*(-48)\/(-3276)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 d, 1 k, and 1 g when four letters picked without replacement from dkddddkgghqkkkgh.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 423726.298 rounded to the nearest 100?\nAnswer: 423700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 4466?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 5*a = 4*a - 17, -3*w - 19 = 2*a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172932*q**3 - q**2 - 8*q - 4.\nAnswer: 1037592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 0*d**4 + 0 + 0*d - 1\/2*d**3 - 2*d**2 + 1\/10*d**5. What is the first derivative of n(c) wrt c?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 5:16 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s**2 - 16*s + 34. Let b(y) be the first derivative of 2*y**3\/3 - 3*y**2\/2 + 7*y + 463. What is -16*b(u) + 3*v(u)?\nAnswer: -2*u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = u - 231. Let x = -50 - u. Suppose j + 3 = 4*g, 3*g - 9 - 2 = -j. Solve -6*t + x = -t + 3*h, j*t - h = 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -0.3, 0.265, 24?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 2664.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 282 and 2256?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/12258929 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 + 2802728*z + 981910530248.\nAnswer: 2*(z + 700682)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 11323580 to the nearest 100000.\nAnswer: 11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 2*v**3\/3 - 10*v**2 + 18*v - 45. Factor f(l).\nAnswer: 2*(l - 9)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.83 - -21. Let w = 0.57 - n. Let b = -1118 + 1119. Put w, 8, b, -3 in decreasing order.\nAnswer: 8, b, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3954*-18*(-10)\/360.\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -14 - (538 + -553) - 4\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 18. Let d be y(6). Let l be (-6)\/14 - 150\/42. Let w(g) = -g. Let p be w(l). Solve -p*a + 14 = d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -92*s - 739. Give d(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - v**2 - 3 - 1 + 0*v - 48*v - 5*v to the form p + l*v + q*v**2 and give l.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1799 or 1796?\nAnswer: 1799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 725785, -4, 1, 71.\nAnswer: -4, 1, 71, 725785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -26. Let w be 31\/3*27\/d. Suppose -4*n - 11 + w = 0. Solve n*v = 4*a + 2*v - 27, 0 = -3*v - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4 + 4*r**2 - 5*r**2 - 3 + 8*r - 3. What is i(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/(-17590))\/(6\/16). Let v = -61629\/28144 - p. What is the common denominator of v and 81\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.12 + -0.38. Let w = l + 17. Sort w, -3, 0.1 in ascending order.\nAnswer: -3, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i - 11. What is m(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 - 3*t**5 + 4*t**5 + (-t**2 + t**2 - t**3)*(0 + t**2 + 0) + 6*t**5 - 232*t**5 - 242*t**5.\nAnswer: -470*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19192057091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**3 - 72*q**2 + 81*q wrt q.\nAnswer: 12*q - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -270.58, -2\/9, 4, -3, -0.9?\nAnswer: -270.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**3 - 4*j**3 + 12*j**3 + 7*j**3 - 26*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 793933807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6026 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(2) + sqrt(2) + (-1*sqrt(242))**2.\nAnswer: 2*sqrt(2) + 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**5 + 6896*y**4 + 541300*y**3 + 4479896*y**2 + 11644336*y + 9589280 = 0.\nAnswer: -1642, -73, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 12. Find the second derivative of -o*b + b**2 + 0*b**2 + 0*b**2 + 4*b wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2, -11559, -1\/4, -4, 3 in increasing order.\nAnswer: -11559, -4, -0.3, -1\/4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -5. Let d = 10 + r. Which is the smallest value? (a) 5 (b) 1\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*-3*2\/(-12). Let q(x) = -4*x + 3. Let p(h) = 7*h - 5. Let s(b) = l*p(b) + 5*q(b). Let g(w) = 0*w**2 - w**2 + 3*w**2. Give s(g(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*p**4 - 16*p**4 - 2*p + 8*p wrt p.\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -182 + 902\/5. Is v greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 294 or 292?\nAnswer: 292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**2 - 22*d**3 - 5*d**2)*(182*d + 66*d - 52*d).\nAnswer: -4312*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p - 3. Let o be t(6). Suppose -m - 4 = -4*n + 32, -3*m = n - o. Suppose 3*l - 49 = -u + 22, -l - 4*u = -n. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -389434, -778870, -1168302, -1557730, -1947154, -2336574, -2725990?\n\"Answer: 2*b**2 - 389442*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98285 by 5.\nAnswer: 19657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*w = -4*a + 26*w - 20, -4*a - 6 = -3*w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 6*v + 21 = 0. Suppose -3*f - 2*a - 12 = v*a, 20 = -5*f - 3*a. What is the smallest value in f, -12, -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6525 times 352\nAnswer: 2296800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 567793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23874359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -541*b**2*t + 363*b**2 + 8*b*t - 4*b - 2*t + 1288 wrt b.\nAnswer: -1082*t + 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 11:11 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68874 is divided by 218.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2700*g + 1351*g - 1307 + 1351*g.\nAnswer: 2*g - 1307","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 110941 = 500833. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2019308698 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - 1. Let v = -6.3 - z. Which is greater: 0.1 or v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 6*a**2 + 2. Let w = -88 - -82. Let c be h(w). Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 15*b + 12. What is the remainder when 44 is divided by m(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 45*y + 159. Let f be g(-41). Sort 0, 6, -2, f in ascending order.\nAnswer: f, -2, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1515414466?\nAnswer: 2, 523, 1448771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 3\/162025?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of (-21864)\/(-14) - (96\/56 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -637, 1, 3, 2, -3.\nAnswer: -637, -3, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -124?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 4*t**5\/5 - 21*t**4 - 204*t**3 - 478*t**2 - 432*t - 1076. Determine s, given that z(s) = 0.\nAnswer: -4, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -72 in -0.4, 0.4, 2\/9, 14, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 50*k**2 + 22*k. Let p(c) = -64*c. Give b(p(j)).\nAnswer: 204800*j**2 - 1408*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2 + 3\/6. Let h = v + 3. Solve -20 = -h*c - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*q - 242*q - 5*t + 26 = 239*q, -4*t = 4*q - 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -225*h**3 + 15*h**2 + 3*h wrt h.\nAnswer: -1350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 + 43 + 6 - (118 - 137)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3668 and 6356?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7628159?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64488?\nAnswer: 2, 3, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 580 a factor of 755160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*s + 491 - 103 - 247)*(1 + s - 1).\nAnswer: 9*s**2 + 141*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369229 + 199013 = 13*z - 157028. What are the prime factors of z?\nAnswer: 2, 5, 7, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 v, 1 j, and 1 d when four letters picked without replacement from {v: 1, w: 5, j: 1, d: 8, s: 2}?\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/13377, -0.5, -17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 671 divide 43892561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - 0) + (-28)\/7. Suppose 4*s = 20, -s = w*d - 67 - 54. Let b = -26 + d. Solve 4 = 5*h - 3*a, -2*h + a = b*h + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758644 is divided by 532.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 12*c + 4*c**3 - c**3 + 24 + 21*c**2 + 27*c + 3*c = 0?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2493 - 6335 = -113*m for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -2.9, 0.4, 32\/1049?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*k - 72 = 0, 0 = -5*i - 4*k - k - 75. Let c = -10 - i. Which is smaller: 3 or c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/20*20\/(-14)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 5*t + 780, 5*t = y - 0*t - 168. What is the second derivative of 11*a**2 - 2 + 53*a - 15*a**2 + 6*a**4 - y*a wrt a?\nAnswer: 72*a**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1169278 divided by 584639\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 238 = 278 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9358*s*y**2 + 2*s - 1458 wrt y?\nAnswer: -18716*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/92641 in 3, -3, 2\/3, -1\/9, 4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-9))\/((-52)\/76284). Which is the third smallest value? (a) 1\/2 (b) v (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - i + 6. Determine x(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 689*l**2 + 5*l - 3. Let c be u(1). Suppose 4*m = 5*f - c, 3*m + 11 + 1 = 0. Calculate the highest common divisor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 21455549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 136380 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 14. Let x be z(0). Let r(b) = -b**2 - 1. Let d(k) = -5*k**2 - 7. What is x*r(t) + 2*d(t)?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {e: 4, k: 5, l: 1, v: 3, h: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - 5*y - 399. Give n(-18).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 1 + sqrt(1088) + (sqrt(34)\/(sqrt(4)\/sqrt(2)) - sqrt(17)) + sqrt(17) + -5)**2.\nAnswer: -136*sqrt(17) + 4929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12223201 + 323?\nAnswer: 12230130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -8526?\nAnswer: 8523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -145844, -6.\nAnswer: -145844, -6, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62158 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 498.2 times 1\nAnswer: 498.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5)*t**(1\/17)\/t*t)\/(t**(-3\/4)*t\/(t*t**(-1\/2)*t))*((t**(-3))**(-2\/15))**(-2\/73) assuming t is positive.\nAnswer: t**(42141\/24820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 67*f**2 + 3384*f - 45331. Determine m(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 4*c + 4 = 0, 96*m - 21*c - 79 + 0 = 95*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2484, 2635, 2796, 2973, 3172?\n\"Answer: l**3 - l**2 + 147*l + 2337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15981060 and 45?\nAnswer: 47943180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i**(-1\/3)\/i))**(-1\/26)*i**(-3\/4)*i**(3\/4)*(i\/(i\/i**(-4\/9)))\/i**(2\/9)*i**6\/(i\/(i**(-4)\/i)) assuming i is positive.\nAnswer: i**(-31\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155210, -155212, -155214, -155216, -155218?\nAnswer: -155220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 62129416 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*l = -534*l + 7650. Solve 5*a = l*a - 84 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*h**3*o**3 + 2*h**3*o**2 + 40*h**3 + 5*h*o**4 + 2*o**2 wrt o.\nAnswer: 72*h**3 + 120*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 815, 1839, 3273, 5117, 7371?\nAnswer: 10035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(500)*-2 + 5)*-1 - (6*(-6*(sqrt(500) + -1*sqrt(500)) + sqrt(500) + sqrt(500)) + 3))**2.\nAnswer: 2240*sqrt(5) + 98064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/5 + 1444*q**2.\nAnswer: -2*q**2*(q - 3610)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -6)*214\/(-8). Let d = x + -71. Suppose i + 0*i - 9 = 0. Calculate the highest common divisor of d and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}