diff --git "a/data/dm_maths/full_data_2/2270_11255.jsonl" "b/data/dm_maths/full_data_2/2270_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2270_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: How many minutes are there between 7:58 PM and 5:28 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46 - -7?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 5:44 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/5485 and 21\/4657862.\nAnswer: 23289310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 14\/(-3) + (-22495)\/(-9816).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001010100001010011 + -100001?\nAnswer: 101001010100000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 85*b = -81*b + 3909, -5*c = -2*b + 3873. Is c at least -771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 = 2*t. Let f = t - 7. Suppose 5*g - 16 = g. Put f, g, 8 in descending order.\nAnswer: 8, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-762)\/(-38) + (26 + 1414)\/(-72)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28645 - -28638. Sort 349, l, -1\/3, -4.\nAnswer: l, -4, -1\/3, 349","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-13)\/9) + (-1130)\/(-2034) - (-10)\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06430195769 to 4 decimal places.\nAnswer: -0.0643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/2))\/g)\/(g**(-11\/4)\/g)*g**(-13)*g**(-1\/7)\/g assuming g is positive.\nAnswer: g**(-277\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = -6*v - 28. What is the nearest to 0 in -3, 1\/4, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6*(-2 + (-56)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 52.33, 5\/33, 0.22, -2\/9?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13482730293 - 1453?\nAnswer: -13482731746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(9) + sqrt(144)) + 0.\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/10 and 1\/459?\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 14*i + 53. Let m be (4 - (1 - 5)) + -3. Let d be c(m). Let x = -2 + 1.8. Put d, -2\/13, 3, x in ascending order.\nAnswer: x, -2\/13, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -34347244 and -2648949.\nAnswer: -36996193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 102920 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i - 75. Let w be r(11). Put -29, w, -3 in decreasing order.\nAnswer: w, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -4. Let c(d) = d**2 + 17*d - 60. Let y be c(-20). Is 15 a factor of y\/1 - b*-72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 4*y + 5. Suppose c = -c - 12. What is the units digit of r(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - f)*(-3 + 8*f + 3 + 0*f - 2*f + 0*f + (-4 + 0 + 3)*(-2 + 2*f + 2))*(-3 + 1 + 0).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*n + 5 + 23. Solve 11*m - n = 32 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5682, 5668, 5632, 5562, 5446, 5272?\n\"Answer: -2*m**3 + m**2 - 3*m + 5686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44147 and 3773389?\nAnswer: 494313959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 8 + 102 = 0. Suppose 0 = 99*r - 93*r - 66. Calculate the greatest common divisor of r and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1512*j - 20931 + 126480 = -39603 for j.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -40522.399 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2)*g)\/(g*g**(-6\/11)*g))\/(g**(-2\/7))**(-45))**(1\/5) assuming g is positive.\nAnswer: g**(-1179\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -47\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1067673 divided by -1.\nAnswer: -1067673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8441704546 to the power of 1\/4, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4047*x**2 + 19*x**3 + 4049*x**2 - 12141*x**2 + 4045*x**2.\nAnswer: 19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 549 and 2657403.\nAnswer: 162101583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*3*100\/(-30). Solve -p*y = 4*k - 2*k + 16, -y + 4*k = 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -7 - (25 + -18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -29*r**4\/3 + 10*r**3 - 99*r - 62. Let v(b) be the first derivative of y(b). Find the second derivative of v(s) wrt s.\nAnswer: -232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (84*(-21)\/(-756))\/23 and 2\/(-3)*(-39 + 2)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + ((sqrt(1377)*2 - sqrt(1377)) + 5)**2*3 + -5) + -1.\nAnswer: -21011 - 1350*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11789, -47313, -106689, -190055, -297549?\nAnswer: -429309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2892 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16868000 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254, -329, -454, -629, -854, -1129, -1454?\nAnswer: -1829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 8*q + 4. Let v(n) = n**2 + n. Let y(g) = d(g) + 5*v(g). Calculate the smallest common multiple of 8 and y(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 20\/9 of a hour?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -6. Let v = 9 - 6. Suppose v*w - 23 = -c, 48 + 4 = d*c + 4*w. Solve 2*h - b = -2, h - 3*b = -3*h - c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 12.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -13*p**3 + 9*p**2 + 9*p + 9. Let x = -8 + 6. Let i(c) = -3*c**3 + 2*c**2 + 2*c + 2. Calculate x*n(m) + 9*i(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3732117, 3732125, 3732133, 3732141, 3732149?\n\"Answer: 8*s + 3732109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 108374 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 11*q**2 + 24*q + 17. Let t(g) = 3*g**2 + 7*g + 5. Let a(m) = -2*j(m) + 7*t(m). Let h(f) = 6*f**2 - 9*f - 7. Calculate -5*a(d) - h(d).\nAnswer: -d**2 + 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from wxwxwwhwwwxwuwchu.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u + 25*u**2 + 19*u**2 - 3 + 20*u**2 - 91*u**2 + 26*u**2. Calculate v(9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 0.184?\nAnswer: -27.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1. Let f(c) = -c**2 + 3. Let u(w) = f(w) - 3*j(w). Let m(r) = 27*r**2. Give u(m(n)).\nAnswer: -729*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14 and 177?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/2 - (-2)\/(-4 + 0). Solve -3*u + 5*t + 1 - w = 0, 0 = -4*t + 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -72214 - 435?\nAnswer: -72651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 1003?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 10*i. Give g(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 10*v**2 + 0*v + 0 - 3\/8*v**4 - 5\/6*v**3 + 1\/60*v**5. Determine j(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) -1 (c) -40 (d) 362 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 8. Suppose 2*c = -3*x + 4, -c + 2*x = x - j. Solve 0 = -c*r + r + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3157?\nAnswer: 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 5 + 13\/2*i**2 + 1\/3*i**3 - i. Calculate w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2459436 divided by 35644.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h - 46317 + 12*h + 46317 + 5*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -2 - 4\/(-6))*3. Let r = 5 - q. Which is the third smallest value? (a) 0.3 (b) r (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -162 + 110. Let y = h - -18. Let d = -34 - y. Which is the second smallest value? (a) d (b) 1 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125853795 by -9.\nAnswer: 13983755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -588, -6, 578, 1164, 1752, 2342, 2934?\n\"Answer: k**2 + 579*k - 1168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b**(-1\/5)*b)\/b)*b*b)**(-25)\/(b\/b**(1\/4))**(-36) assuming b is positive.\nAnswer: b**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + t)*(0*t + 2*t + 0*t) + 30*t + 20*t + 2*t**2 - 48*t + (-5 + 3 + 0)*(-t**2 - 4*t + 4*t).\nAnswer: 6*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 3:31 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**5 + 15*f**4 + 30*f**3 - 140*f**2 + 120*f.\nAnswer: -5*f*(f - 2)**3*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 7*q**2 - 4. Let k be u(-3). Let h = 6 - k. Which is smaller: h or -25?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2985 + 2984.4002. Let d = 0.6 + n. Round d to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -29. Let c be y\/6*8\/(-46). Is c not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12406, 12413, 12424, 12439, 12458, 12481?\n\"Answer: 2*p**2 + p + 12403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -273 + 3551\/13. What is the biggest value in -5, d, 2\/9, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 0*i**2 + i**2 - 2*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 64\/24 + 2\/6. Differentiate c + 38 - l*c**4 + 412*c**2 - 412*c**2 with respect to c.\nAnswer: -12*c**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i + 4 = 0. Calculate the remainder when 3 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*v + 88 = 0, 3*f + 3*v + 22 = 4*f. Let p = -18 - f. Is 8571\/9 - (p\/(-15))\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 6*h**2 - h + 11. Let a(l) = -l**2. What is -6*a(k) + i(k)?\nAnswer: -k**3 - k + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + -4 + 10 - -9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -53. Solve 0 = -o*l - 13 + 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, 274, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1955 + 499 + 501 + 488 + 467 - 14*c**2.\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*t = -157*t - 7289 for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -750*18\/12*(-1484)\/(-3). Round n to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 15 + 8. Calculate the remainder when o is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.04 (b) 6 (c) 23\/9 (d) 2\/21 (e) -5 (f) 0.0239\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -39906*h + 159930. What is b(4)?\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o - 21 = 0. Suppose -13*n = -18*n + 280. Let r be 110\/228 - (n\/16)\/o. Is 2\/3 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/567 and -67\/270?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -60, -204, 5, -1 in descending order.\nAnswer: 5, 2, -1, -60, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 270630797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 4*v + 13 = 0, 17*b - 4*v = 22*b + 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-765)\/(-135) + ((-4)\/3)\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1010001110 (base 2) to base 4\nAnswer: -22032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.08696 and 2?\nAnswer: -2.17392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2296888 divided by -36.\nAnswer: -574222\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.739 + -0.561. Let x = d + 40.2. Let l = 12 - x. What is the closest to l in -0.5, -5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(13) + 5*(sqrt(832))**2).\nAnswer: -4160 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -472 divided by 4?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**2 - 4*s**2 + s**2)*(-3 + 0 + 4) + 7*s**2 - 5*s**2 + 3*s**2 to the form q*s**2 + n + l*s and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6060966 and 1086.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/4 - 164*p**2 - 24061*p\/4 - 21421.\nAnswer: (p - 691)*(p + 4)*(p + 31)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 11:52 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -22766 (base 9) to base 7\nAnswer: -62223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -110420 (base 5) in base 9?\nAnswer: -5258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 3. Let m be b(3). Suppose 0 = m*v - 7*v - 4. Let d = 952 - 957. Put d, 1, v, 0 in descending order.\nAnswer: v, 1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 12:07 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30.86 - 31. Let z = 0.04 + m. What is the closest to z in -0.2, -5, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -413.001?\nAnswer: -3717.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**2*p**2 + 283536*c**2 + 2*p**2 - 38736*p - 10 wrt c?\nAnswer: 2*c*p**2 + 567072*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26500490 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 2819*g + 2823*g - 164, 3*g = 3 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 + 66*n**3 + 17205*n**2 + 394272*n.\nAnswer: -3*n*(n - 96)*(n + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -153+1717.139\nAnswer: 1564.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016 a factor of 6039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v + 10. Let l be o(5). Which is bigger: l or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57852 and 528984?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -240 - -649. List the prime factors of a.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s - 684. Let h(m) = m + 137. Calculate 2*b(t) + 11*h(t).\nAnswer: -t + 139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 - 3*l + 5. Let j(k) = k - 1. Let t(r) = -3*j(r) - n(r). Suppose -39*q - 5 = -38*q - h, 11 = -5*q + 3*h. Give t(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 2*a + 3*u, -14*a - 4*u - 76 = -10*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -953\/747 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 2:46 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + l**2)*(-2*l**2 + 2*l**2 - l**3) + 3 + 2*l**5 - 3 + (4*l**2 + 15*l**2 - 2*l**2)*(2*l**3 - 3*l**3 - l**3).\nAnswer: -33*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17134111 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 m(p) = 6*p**2 + 11*p. Let q(j) = -j**2 - 2*j. Suppose 1 = 3*i - 2, -i = -5*t + 164. Let y(c) = t*q(c) + 6*m(c). Factor y(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6614.237 days to nanoseconds.\nAnswer: 571470076800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y + 1. Let p(j) = 12*j**2 + 8*j + 4. Calculate -5*p(b) + 20*x(b).\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z - 22*z + 390*z**2 + 385*z**2 - 768*z**2 + 4*z.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 164, -36, -123, -5 in descending order.\nAnswer: 164, -5, -36, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a (base 13) to base 16.\nAnswer: c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 109345, 218694, 328043, 437392, 546741, 656090?\n\"Answer: 109349*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 230*j - 2354. Let k(y) = 77*y - 785. Let q(o) = 8*k(o) - 3*r(o). Differentiate q(m) wrt m.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmm when three letters picked without replacement from {h: 2, m: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0295570975 to 3 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(2\/3*21\/336*-12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*c = -917 - 609 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -99774 less than -72.5?\nAnswer: 99701.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7650 and 22680?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 58386900 rounded to the nearest one hundred thousand?\nAnswer: 58400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 75383857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**3 + 18*n**2 + 8*n - 7. Let a(o) = 3*o**3 + 9*o**2 + 4*o - 3. Let i(r) = -7*a(r) + 4*g(r). What are the prime factors of i(8)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 2, j: 1}. What is prob of picking 1 j and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooq when three letters picked without replacement from qcoo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.13216 <= -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 532045089 to the nearest integer?\nAnswer: 23066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04 and -198.675.\nAnswer: -198.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 344 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2433614?\nAnswer: 2, 1216807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 37.38, -81.\nAnswer: -81, 1\/5, 37.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 8:15 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, r: 4, q: 7}. What is prob of sequence qwr?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3960 and 15840.\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50*d**6*h - 8*d**5*h**2 + 5*d**2*h**2 + 28*h**2 wrt d?\nAnswer: 6000*d**3*h - 480*d**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -18. Let t = 8 - -14. Suppose u + 4*c - 29 = z, -18 = -2*u + c + t. Solve -4*b + g + u = 0, 2 = -0*g - 2*g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + i - 4*i. Let a(r) = 13*r**2. Determine a(c(d)).\nAnswer: 52*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -626233 = 72*l - 2268769. What is the greatest common divisor of l and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27*-6.45\nAnswer: -174.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -2\/3 (b) 40 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23492 and 0.3.\nAnswer: 23492.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 2465?\nAnswer: -739.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.18, -2\/3, 0.3, 42?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -2\/3, -11, -12592\/21?\nAnswer: -12592\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((4*sqrt(180)*-1)\/sqrt(10))\/((4*(sqrt(90) + (sqrt(90) - -2*sqrt(90) - sqrt(90)) - sqrt(90)))\/sqrt(10)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18067.7 decades to years.\nAnswer: 180677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 - 9*w**2 - 6*w + 42. Let n be g(4). Let s = 2 + -2. Let x = s - 2. Which is the smallest value? (a) n (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 5*w + 9. Let p be l(5). Suppose 0 = -5*r + p + 26. Let s(x) = -x**3 + 4*x**2 + 25*x - 8. Let q be s(r). Solve y = -3*y - q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2299*j**4 + 13122.\nAnswer: 9196*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-45)\/36)\/5)\/((-6)\/16 + 0).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 3055752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 60 = -2*o, -4*o + 2*r = 42 + 82. Let h = o - -22. Does 25 divide (75\/h)\/((-2)\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**3 - 16*g**2 - 16*g + 67. Determine l(6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2. Let s(m) = 279*m + 425*m - 411*m. Determine y(s(g)).\nAnswer: 171698*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7 - 2*t**2 - 4*t**2 + 4*t - 4 - t**3 + 1. Let n be g(-8). Suppose -n = -9*f + 238. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 2 (c) -41 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*j + 17. Let b(c) = -c**2 + 6*c + 2. Let o(k) = -2*k**2 + 7*k + 3. Let l(q) = -3*b(q) + 2*o(q). What is l(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -15. Suppose -3*h = -5*d - 536, -668 = -6*h + 2*h - 5*d. What is the remainder when h is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/((-4)\/(-72)*3)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14676, 2, 0.3?\nAnswer: -14676","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n + 28 = 13*n. Is 5143 - n\/(8 - 7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 912 and 42540240.\nAnswer: 42540240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*x + 126. Suppose -6*k = -27 - x. Suppose 3*r - 7 = k. Solve -4*d = -2*a + r - 23, -d + 6 = a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -254*c**2 + 50*c - 38. Let x(h) = 764*h**2 - 151*h + 113. Let r(f) = 19*o(f) + 6*x(f). Let m(l) = -27*l**2 + 5*l - 5. What is 44*m(b) - 5*r(b)?\nAnswer: 22*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-4)*m)\/m)\/m)\/m**5*m**(-1\/3)\/m*m**(-6)\/m assuming m is positive.\nAnswer: m**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7242 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + (0 + sqrt(108))*6)**2.\nAnswer: 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7.208 (b) -6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 17*v**2 + 2*v + 7. Let h be m(-6). Suppose -7*z + 12*z + 27 = c, 3*z - 6*c + 27 = 0. Is h\/11 - ((-159)\/33 - z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*b = -206*b - 72. Calculate the common denominator of b and -23\/576.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115261 and 2918.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/125685968 and -33\/2285.\nAnswer: 628429840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 8 = 2*h. Suppose 4 = h*t - 0. Which is the smallest value? (a) -0.2 (b) -3\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -4) + 2*1. Let w(v) = v**2 - 30*v - 57. Let l be w(-2). Suppose -47 + l = -5*q + 2*i, 20 = 4*q - d*i. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 16 = 6*w. Is 26 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113132002 + -11020?\nAnswer: -113203022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(147) + (sqrt(147) + 2)*-5).\nAnswer: 60 + 168*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from tttftttfff?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 20*r - 260. Determine w(29).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-5))\/(16\/40).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f - 14. Let d(x) = 4*x + 7. Let u(l) = -5*d(l) - 2*q(l). Let o be u(-5). Suppose -2*t + o + 13 = 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 4*x + x**2 - 4*x - 7*x**3 + 3*x in the form f*x**3 + i*x**2 + l + b*x and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100001 + 10010?\nAnswer: -10001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 o when four letters picked without replacement from oiipopop?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -66256 divided by 2?\nAnswer: -33128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5654 + -5184. What is the remainder when b is divided by 75?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1726*y**2\/13 + 13870*y\/13 - 12144\/13 = 0. What is y?\nAnswer: 1, 6072\/863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.2, 5, 30, 0.0415 in decreasing order.\nAnswer: 30, 5, 0.2, 0.0415, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/36)\/(22\/264).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**24\/(s\/(s*s*s**(-3)*s*s*s)*s)**21 assuming s is positive.\nAnswer: s**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**4\/28 + j**3\/7 + 9*j**2\/14 + 28*j. Determine n, given that v(n) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19966899*r + 28326429 wrt r?\nAnswer: -19966899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7284 divided by 5.\nAnswer: 7284\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 0*k**5 - 137 + 0*k**2 + 1\/3*k**6 + 170\/7*k**7 - 2*k + 0*k**4 + 43*k**3. What is the third derivative of n(v) wrt v?\nAnswer: 20400*v**3 + 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -6 + 6 - 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2920 divide 10645951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*u - 4*u + 490 = 0. What are the prime factors of u\/6 + -1 - (-23600)\/60?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a + 37. Let x be v(-7). Solve 2*i + 21 = -5*g, -3*g - 12 = x*i - i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**9\/3024 + k**8\/1680 + k**7\/840 - k**6\/360 + 25*k**3\/3 + 30. Let j(o) be the third derivative of l(o). Factor j(r).\nAnswer: -r**2*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 414314342?\nAnswer: 414314402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18306329 - 2?\nAnswer: 18306327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75532*v**3 - 114539*v**2.\nAnswer: 453192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 104*s**2 - 1117*s - 6004. Let i be c(91). Factor -145*l**i - 568\/3*l - 188\/3 - 3*l**3.\nAnswer: -(l + 47)*(3*l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1486 - -2465. What is the highest common divisor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1389865 + 10?\nAnswer: -1389855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 14040 - 4966 = 0. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98600 is divided by 177?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171, 341, 511, 681, 851, 1021?\nAnswer: 1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92799 - 60683. Is 31 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 15.4 (b) -3\/160 (c) 2.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.017 + -0.383. Let h = -14 + 3. Let k = h - -7. What is the second smallest value in k, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 4*d + 23, -2*p - 3*d + 15 = p. Suppose p*u - 2*u = 30. Let w be (6 - 16)\/(-1*2). Solve -h = w*m + u, -3*h + 3*m - m - 5 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -41*k**2 - 4*k + 343. Determine p(6).\nAnswer: -1157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23420, 47683, 71946, 96209, 120472, 144735?\n\"Answer: 24263*x - 843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/4139487 in 3\/4, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 - 24 - 13)*(0*y - y + 2*y)*(-5 + 1 - 5) as o + a*y and give a.\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 18\/(-22) - 546432\/(-264). Suppose 4*x = 47 + 1. Calculate the lowest common multiple of x and g\/900 + 6\/(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5533104\/61 or 90707?\nAnswer: 90707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -255, 3, -3.\nAnswer: -255, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**4\/12 + 3*c**3\/2 + c**2 + 3*c. Let z be l(-9). Suppose -4*v = -v + 3*y - 111, -z*v = -y - 71. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3*h = -11, -10*b + 6*b + 5*h = -17 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 6*d - 10. Let z(v) = v**2 + v + 1. Let s(w) = k(w) + 4*z(w). Let i(m) = -723*m**2 - 1 + 724*m**2 - m + m. Give -6*i(q) + s(q).\nAnswer: -q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 4*s - 21*s**2 - 22 - 2.\nAnswer: -21*s**2 + 6*s - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262908, -262783, -262658?\nAnswer: -262533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n + 6. Let l(u) = 11*u - 4. What is -3*i(s) - 2*l(s)?\nAnswer: 5*s - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 62. Let k = 27.01 - c. Let d = -1 + -2. What is the second biggest value in -1\/4, d, k?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 5 = -5*w - 1, -4*a = -5*w - 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2718 = 5*m - 2*g, -1662 = 189*m - 192*m - 4*g. What is the remainder when m is divided by 106?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 10*p - 68. Determine c(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74)\/259*35\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-63)\/14)\/9)\/(5\/70)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -892642644 divided by -12\nAnswer: 74386887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 - 1)*(-4 + 4 + 2*f) + 1 - 1 - 5*f in the form r*f + p and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14661, -116995, -394687, -935415, -1826857?\n\"Answer: -14613*k**3 - k**2 - 40*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*y + 170 = 0, 3*y = y - 4. Let j be (-518)\/a - (-4)\/(-10). Let n = j - 34\/3. Which is greater: n or -2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 183 + -79. Let q = 103.999838 - u. What is q rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165\/540*-12*(-72)\/(-99)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3982019?\nAnswer: 29, 61, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 210 = h. Let g = h + 96. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 + 101110001101?\nAnswer: 101110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-3)\/(-3) - (-14 - -12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2389676289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**4\/4 - 5*v**3 - 17*v**2\/2 + v - 31. Is l(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v**2 - v**3 - v**2 - v**2)*(-81963*v - 20291*v + 21547*v - 13602*v - 31342*v) in the form l*v + i*v**3 + j*v**2 + m*v**4 + b and give i.\nAnswer: -251302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 10:59 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/5 and 22878\/496*(-8)\/30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 68688799405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d - -8?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49695.552s to days.\nAnswer: 0.57518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -5*a - 18. Let l(p) = -81669*p + 14. Let n be l(a). Round n to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(9) - sqrt(9)*-1) + 2*sqrt(22)*2)\/((sqrt(891)*3 + sqrt(891))*-6) + 1.\nAnswer: -sqrt(2)\/48 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1777, -7104, -15983, -28414, -44397, -63932, -87019?\n\"Answer: -1776*t**2 + t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/87348 and 43\/6024?\nAnswer: 174696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -3\/8 (c) -0.4 (d) 0.488\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.62 + -1.38. What is the biggest value in 5\/4, v, -2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 2*q + 1. Let m(g) = -3*g**2 - 7*g - 3. Let c(y) = -7*i(y) - 2*m(y). Let x(a) = 3*a**2 + a + 6. Determine 4*c(l) + x(l).\nAnswer: -l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 2*i + 100. Let v be 20\/8 - (i + -2). Let q = -4 + 0. Which is the nearest to -0.4? (a) q (b) -2\/21 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 2*w - 96, -2*f + 5*w = 22 - 1. Let a = 33 + f. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -88, -70, -28, 44, 152?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 1) + (-29 - -43) - (4 + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa (base 12) to base 15.\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 77929 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 21833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 599*u**5\/15 - 1597*u**3\/3 + 2*u**2 - 1670. Differentiate b(s) with respect to s.\nAnswer: 4792*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 9. Let o(a) be the third derivative of a**8\/20160 + a**6\/144 - a**5\/20 + 10*a**2. Let c(h) be the third derivative of o(h). What is c(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w - 12 + 17 + 11*w + (1 - 1 + 2*w)*(0 + 1 + 0) in the form i*w + m and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0.1 (c) 551 (d) 2\/13 (e) 5 (f) -2\/7 (g) 160\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2590145.\nAnswer: 5, 23, 101, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (535*v - 299*v - 1627*v)*(1 + 1 - 1)*(3 + v - 3).\nAnswer: -1391*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1812 - 321. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141638*n**3 - 2*n**2 + 141641*n**3 + 2*n**2.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*t + 35, t - 5*t - 20 = 0. Let n = 3 - -1. Is n <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + b**2 + 2*b - 3. Let d be x(-2). Suppose -d*p = -5*z + 269 + 471, 0 = -3*z - 4*p + 423. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 12 + -125 + 120.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3922*r**2 + 7*r - 23. Is f(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (12 - (30 - 18)) + 8?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1 + 10 + 210\/(-20).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/24 and -29\/12727946?\nAnswer: 152735352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -13013227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 0, 0 = -4*b + 3*c + 16 - 68. Let l = b - -25. Let f = l + -4. Calculate the remainder when f is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 44 = -3*l + 4*x + 6, -3*l + x - 27 - 1 = 3*x for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 293 and 64.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95.08 + 96.6. Let l = m + -1.5199558. Round l to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 59*b**4\/12 + b**3\/3 + 5*b**2 + 187*b. List the prime factors of n(4).\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24346284.9 rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010617659441 to 7 dps.\nAnswer: -0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -238 in -147, 151, 3\/5, -3?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 + 43 = -13*k. What is the closest to 1\/4 in 0.07, -5\/4, k?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 10. Suppose -g - 3 = 5. Let l be u(g). Let o(s) = s**l + 7*s - 5 + 3 + 1. Determine o(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z - 5. Let c = -102 + 72. Let w = c + 19. Let p(x) = -x - 7. Let g be p(w). Let r(h) = 5*h + 9. Give g*r(l) + 7*b(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/8 - 945*v**2\/4 + 3771*v\/8 - 471\/2.\nAnswer: 3*(v - 628)*(v - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5658110 and 12832?\nAnswer: 90529760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*k + 8, -2*k - 25 + 23 = -3*x. Solve -y - 4*y + 4*o + 4 = 0, -2 = 5*y + x*o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 1\/2 (c) 3 (d) 6 (e) -0.55\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85*m**2\/7 + 37269268*m\/7 + 876924\/7.\nAnswer: -(m - 438462)*(85*m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 30330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**3 + 5*z**3 + 2*z + 3*z**2 + 3 + 0. Let f be a(-2). Suppose f*l - 7*l + 12 = 0. Solve -l*w - 1 = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11200900259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 10, t: 1, w: 6}. What is prob of sequence wqqt?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/1 - 3 - 1. Let d be 9\/2*2*-1. Let f = m + d. Calculate the remainder when 2 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 + 72.9. Let g = -30.9 - -27. Let h = r + g. Which is the closest to 1? (a) -1\/2 (b) -2\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s + 150*s**2 - 329*s**2 + 2061*s**2 + 372*s**2.\nAnswer: 2254*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-4) + 1500\/(-16). Let z = -36 - o. Calculate the highest common factor of 19 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -551154421 (base 6) in base 12?\nAnswer: -3375a11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24244 - 18989 + 17611)*(2*q + 2*q - 3*q) to d + b*q and give b.\nAnswer: -25622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113025, -0.5, -1864 in descending order.\nAnswer: -0.5, -1864, -113025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(39\/18) - (-26 - -23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w. Let s be k(-1). Let z be s*86*3\/(-6). Suppose z - 3 = 5*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, n: 1, y: 2, h: 1, w: 3}. What is prob of picking 1 h and 1 n?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1678 rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -313 - 13?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -21*l + 5*l**2 - 9*l**3 + l**2 - 11 + 10*l**3. Let p be f(-8). What is the highest common divisor of p and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 3*i**2 - i**2)*(-9*i**2 - 62*i**2 + 5*i**2 + (-3*i + 4*i + 3*i)*(-2*i - 3*i + 6*i)).\nAnswer: 124*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*l + 50 - 62 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 5:33 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157 + 22. Suppose -3*a - 3*z - 92 = 31, 4*a + z = -x. Let t = -46 - a. Sort 1, -6, t in descending order.\nAnswer: 1, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -18. Let o(g) be the first derivative of a*g**2 - 3*g - 2\/3*g**3 + 1. What is the derivative of o(v) wrt v?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25161058 is divided by 5032208.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 8*q - 82. Calculate y(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**3 - 4*p**2 - 2*p + 2. Let b(x) = -10165*x**3 - 20*x**2 - 10*x + 11341. Let s(j) = -b(j) + 5*h(j). Differentiate s(w) wrt w.\nAnswer: 30540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 2 = o - 3*o, i - 95 = 5*i - 64*o - 31 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 5\/54*r**4 + 0 + 0*r**3 + 0*r + 1\/270*r**5 + 34*r**2. Suppose o(g) = 0. Calculate g.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 482 + -1062. Let p = v - -580. Let k be 1\/(-2) - (-3 - -2). Which is the biggest value? (a) -20 (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l + 5. Let q(n) = -3*n + 7*n + 0*n + 6 - 3. Let i(x) = -x + 1. Let f be i(4). Let u(k) = f*h(k) + 5*q(k). Let t(b) = -2*b**2. What is u(t(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1355 and 112.07.\nAnswer: 151854.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3268 and 7267817.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by ((-90)\/6)\/(3\/(-2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9369, -9357, -9331, -9285, -9213?\nAnswer: -9109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 227295581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7105 is divided by 2103?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*q**2*t**3*x + 33*q**2*t**2*x**2 - 2*q**2*t*x**2 - 2*q**2*t - 5*q**2*x**2 + q**2*x - 83*t**3*x**2 wrt t.\nAnswer: 282*q**2*x - 498*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6029064 by 6.\nAnswer: -1004844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 40 = -7*h. Suppose 6*p + 2*y = 4*p + 30, h*p = 4*y + 60. Is 102\/7 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146461632?\nAnswer: 2, 3, 762821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 82543213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4.5. Let p = s - 0.5. Suppose 0*k - 36 = -9*k. Sort p, k, 0.2 in descending order.\nAnswer: k, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1538 = 152*n - 134 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 4:33 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v - 5. Let f be l(-2). Solve -3*a + 0*a - 9 = 0, -3*n - a + f = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 331\nAnswer: 2317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = u - 1, 5*i + 2*u = 9 - 7. Is -3\/68 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2. Let y be (-4 + q)\/(42\/112). Let k = -0.0622 - 0.0378. Which is the closest to 1\/3? (a) y (b) 4\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3) + 236\/177)*10\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1465266 divided by 35?\nAnswer: -1465266\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from chyem.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3268 rounded to one dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from quhuuquq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.3 - -0.7. Let z = r - 6.9. Let l = -8 + 8. Which is the nearest to l? (a) -0.4 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73934604.\nAnswer: 2, 3, 23, 89293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11951 and 163540?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -170\/3 + 56. Let k = 1\/3 + j. Let y = -6 + 8. What is the third smallest value in k, y, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -16*d**3 + d**2 - 2*d + 2. Calculate k(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (86\/66 + 4\/(-6))*(-270)\/945?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32919485.\nAnswer: 5, 6583897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4187471*s**4 - 2619*s - 409 wrt s?\nAnswer: -50249652*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -293194870*p**6 + 473*p**2 + 27285*p - 1 wrt p.\nAnswer: -35183384400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 227\/908 + 42\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -9*a**3 - 278*a**2 + 37*a + 40. Give b(-31).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-15)\/7*((-6)\/(-12) + -4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 8:01 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 132\/163? (a) 2 (b) -2\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**6\/6 - 3*n**5\/4 - 388*n**2. Determine y, given that c(y) = 0.\nAnswer: 0, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/42120 and 73\/846?\nAnswer: 1979640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 7*y**2 - 2*y - 3. Let p(o) be the third derivative of o**6\/120 + o**5\/6 + 7*o**4\/24 - 2*o**3 - 3*o**2. Let r be p(-9). Is v(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3564373 to the nearest 1000.\nAnswer: 3564000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + sqrt(17) + -1 + 5 + 2*sqrt(17) + (sqrt(136) - (sqrt(136) - -2*sqrt(136)*4))\/((sqrt(8) - sqrt(200))*-6).\nAnswer: 4 + 29*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 243116*a*z**3 + 3*a*z**2 + 15416*a*z + 1044*a + 5*z**3 + 2*z**2 - z wrt z?\nAnswer: 1458696*a*z + 6*a + 30*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2072516 to the power of 1\/2, to the nearest integer?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f + 510 = 0. Let k = f + 508. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 36*g**4 + 264*g**3 + 304*g**2 + 96*g = 0?\nAnswer: -6, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, d: 2, v: 5}. Give prob of sequence vv.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*m + 72, -23*m - 3*v - 120 = -17*m for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p + 47*p**2 - 1 - 41*p**2 + 38 wrt p?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -152 - 16\/7*w - w**2 + 2\/21*w**3. Let j(n) = 0. What is n?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 22 (c) -214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**0)**15)**(-34)\/((i**0\/(i*i**(-2)))\/((i\/((i\/i**(1\/7))\/i))\/(i*i*i*i*i**(2\/5)*i))) assuming i is positive.\nAnswer: i**(-18034\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from mwwmmmmqamnmqmqmqq?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 13) to base 4\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2884 times 0.6\nAnswer: 1730.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7\/(28\/55168) - -1 - (36 - 41).\nAnswer: 2, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117104 is divided by 102.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 divided by 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/18)\/(2\/2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*g = -28, 12 + 9 = 2*t + 5*g. Let x = 1591 - 4870\/3. Let a = -33 - x. Which is smaller: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-2) + 10\/(-15) + -2. Suppose o - u**2 - 2\/3*u = 0. Calculate u.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = a + a. Suppose 6*n - 158*n = 23*n - 875. Sort a, n, 1, -14 in descending order.\nAnswer: n, a, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 42. Let b be m(-14). Let w(n) = -30 + 5*n**2 + b - 4*n**2. What is w(-6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112142034 (base 5) to base 9.\nAnswer: -850854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -10*f + 71. Let v be h(7). Let s(m) = 8*m + 2. Let q(u) = -u. Let j(w) = v*s(w) + q(w). Determine j(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 26461*b - 476290. What is w(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21 + -2086604246024.\nAnswer: -2086604246024.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 165 and 170 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000292418 rounded to seven decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 1231\/155 and 9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3 + 3*m + m**2 + 7*m**2 - m. Let h be j(-5). Suppose 0 = 4*n + 2 - 70. What is the greatest common factor of n and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 756*x**2 + 2*x - 7. Let l be ((-2)\/(-8))\/(1\/12). Is i(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-10 - (13 + -58))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.12692916 rounded to zero dps?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 - 37 + 37 + (-7*f**2 - f**2 + 2*f**2)*(2*f**3 + 0*f**3 + f**3).\nAnswer: -15*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**3 + 8*d**2 - 39*d + 263. What is the units digit of h(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 12 - 54*s**2 + s**3 + s**3.\nAnswer: 2*s**3 - 54*s**2 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -42460, -84887, -127310, -169729?\n\"Answer: 2*x**2 - 42433*x - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(44) + ((sqrt(11) + 2)*-2 - sqrt(11)))**2 - (sqrt(77) - (sqrt(77) - sqrt(77)*-2)*-3)\/(-1*sqrt(567)).\nAnswer: 172*sqrt(11)\/9 + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.9 + 3. Let w = -548.304 - 156.706. Let x = w - -705. Sort c, 4, x in descending order.\nAnswer: 4, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5 - 5 + 6 - 5 + 1236*i.\nAnswer: 1236*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 22 = -4*k, -264*s - 264*s - 10 = -533*s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3357074 by -27517.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*sqrt(14)*-2)\/((sqrt(2) - sqrt(8))*5).\nAnswer: -4 + 8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0603 * 0.5.\nAnswer: 0.03015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-8 - (-5 + 2) - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 5, w: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1304130 (base 5) to base 9.\nAnswer: 38027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -41*x - 105. Let o be v(-3). Solve 0 = 5*g + 4*s - 26, 3*s = -4*g + g + o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 339*v + 3507. Let r be w(5). What is the greatest common factor of 36 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12987 = -0*r + 37*r. Let u be r\/36 + 5 + (-3)\/(-4). Let k(w) be the third derivative of -w**4\/12 - 2*w**3\/3 - w**2. Determine k(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 16 = -74. Suppose 3*h + r = 5*h. Solve p - 2*o - 3*o + h = 0, -p + 9 = o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 16*z**2 - 6*z + 95. Give q(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1604, -1527, -1506, -1571, -1752, -2079, -2582?\nAnswer: -3291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -793*m**4 + 19*m + 13 wrt m.\nAnswer: -9516*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-207)\/230 + 4\/10. What is the smallest value in -3, a, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-5)*f*f)\/f**(2\/15)*f**(-3\/7)*f**4 assuming f is positive.\nAnswer: f**(151\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/63*3\/(-2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 299 and 14398?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -10) + -84 + 74.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-nine halves of a kilogram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2427*h**3 + 4938*h**3 - 2467*h**3.\nAnswer: 44*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65148598.\nAnswer: 2, 32574299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.716 - -0.696. What is the third smallest value in r, -1, -4, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 2\/383 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1539))**2*2.\nAnswer: 12312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2464565 and 170.\nAnswer: 83795210","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let p be -9894*(-3)\/(-9)*-8669. Suppose 183594317 = -7*x - p. Let a = -15412097 - x. What is a rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3470, 6992, 10516, 14042, 17570, 21100?\nAnswer: 24632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8972449 < -8972451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -77 + 90 - 64.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/441*-6)\/(4\/(-14)))\/(644\/90160).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 980*b = 700*b + 549 - 8389 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(-4 + (-93)\/12). Let z = -30 - t. Suppose 0 = -3*c - 5*v - z, 2*v - 3*v - 3 = c. Solve -3 - c = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7229324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 20 = -56. What are the prime factors of (-454)\/(-18) + m\/(-54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143209125 to the power of 1\/3, to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 take away -33821916?\nAnswer: 33821917.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*t + 220, 2*v - 2*t - 200 = -2*v. Are v and 52 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/7, -0.4, -0.01, 128, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*o + 29 - 19, 5*o = -25. Let p(h) be the first derivative of 2*h + 0*h**3 + x*h**2 + 0*h**4 + 7 - 7\/5*h**5. What is the derivative of p(y) wrt y?\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.5122, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/2 and 23\/10230.\nAnswer: 10230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*l - 19*l + 8*l)*(0 - 1 + 3).\nAnswer: -58*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 less than 20033?\nAnswer: 20034.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 67124 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 + 41.9495. Let a = y + 0.4215. Round a to two decimal places.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -9*o + 56. Let z be j(10). What are the prime factors of z\/(10\/14 + -1)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*l)*(2 + 1 - 1)*((3 - 5 + 3)*(-3 - 1 + 3) + 0 - 3 + 11)*(4*l + 0 + 0).\nAnswer: -112*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 2 (b) -7 (c) -4 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1438, 2845, 4252?\nAnswer: 5659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 - 2*a**2 + a**2 + (-5 - 1 + 4)*(-5*a**2 + 6*a**2 - 5*a**2) + 5*a**2 + 4*a - 4*a as z*a**2 + y + m*a and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205 - 2045 = -125*j for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 3*u. Suppose -u = a - 0. Let m = -5 - a. Is m greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/100 in -10\/11, -0.5, 0.4, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-550)\/(-33))\/10 - (-4)\/(-4). Sort 2\/325, c, 0 in descending order.\nAnswer: c, 2\/325, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-4))\/((-275)\/(-40))*(-295)\/59.\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*15\/50*(-8)\/3. Which is the smallest value? (a) r (b) 207 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*t + 6. Let o = t + 5. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*g + 38400. Let j be 9\/6 + g\/(-4272). Is 1 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 72 = 9*l. What is the remainder when l is divided by (2 - (-85)\/25) + (-6)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c**2 + 5*c**2 - 4*c**2)*(4 + 5*c - 4)*(7 + 0*c - 6 + 3*c) to y*c**2 + d + v*c + m*c**4 + f*c**3 and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, 0, -1, -5 in ascending order.\nAnswer: -5, -1, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 6*f**2 - 7*f - 18. Determine o(-8).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43713605713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 434 + -432. Which is the closest to -0.2? (a) -0.2 (b) 1 (c) 1\/2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51561.54 hours to minutes.\nAnswer: 3093692.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1187 is divided by 121?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - -120. Let k = 1224 + -1194. Calculate the highest common factor of k and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 856694 by -2.\nAnswer: -428347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 5*q**2 + 4*q + 1. Let t(d) = -d**3 + 4*d**2 + 3*d. Calculate 3*k(f) - 4*t(f).\nAnswer: f**3 - f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f - 114. Give b(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.29 and 275.98762.\nAnswer: 277.27762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 8*a + 9. Let s be j(-7). Suppose 24 = m - 4*d, 4*d + 7 = -s*m + d. Suppose 0 = m*c + c. Is c < 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-954)\/23850)\/(1\/(-2)*-1)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16025438 and 1430?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/3))**(9\/11)*(y*y**0)**(-15))\/((((y*y\/y**(-1\/10))\/y)\/(y*y**6\/y))\/(y*(y**1\/y*y*y)\/y)**14) assuming y is positive.\nAnswer: y**(1939\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4134 - 100?\nAnswer: -4234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 301\/5 + -60. Suppose 5*h + 12 = 37. Let v be (2\/16)\/(h\/4). Sort b, 4, v.\nAnswer: v, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18976, 19955, 20936, 21919, 22904, 23891?\n\"Answer: m**2 + 976*m + 17999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) 2\/3 (c) -2 (d) -0.01 (e) -489\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0 = 6. Let x(v) = -2*v**4 - 6*v**2 - v**4 - v**2. Let i(o) = 3*o**4 + 8*o**2. Let t(q) = l*x(q) + 5*i(q). Find the third derivative of t(z) wrt z.\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2\/5 - 2527694*p\/5 + 54602856 = 0.\nAnswer: -1263955, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2\/4 + 209280*b + 8759623680.\nAnswer: 5*(b + 83712)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 4 - -2 - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, 8, 0, 7\/5, 2, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 7*k + 1. Let q(v) = v**2 + 8*v + 1. Let r(d) = 6*f(d) - 5*q(d). Determine r(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -13*v + 12*v. Factor -46 + 7 - 2*f**2 - 21 + 6*f**2 + v*f.\nAnswer: 4*(f - 1)*(f + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -4.8, -1\/6, -0.03, -3\/5, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -4*y**7\/21 + 13*y**6\/15 - 3*y**5\/2 + 7*y**4\/6 - y**3\/3 - y - 3. Let x(s) be the first derivative of m(s). Factor x(l).\nAnswer: -2*l*(l - 1)**3*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - c**2 + c - 1. Let d(v) = 3*v**3 + 2*v**2 - 20*v + 2. Calculate d(j) + 2*r(j).\nAnswer: j**3 - 18*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 23*o - 78. Let t be c(27). Solve 0 = -2*x - 28 + t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -22*v - 15. Let b(l) = 2*l. Calculate -3*b(c) - t(c).\nAnswer: 16*c + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 8*p - 9. Suppose 4*a - 3*k + 40 = 0, -2*k + 0*k + 43 = -5*a. Let b be l(a). What is the units digit of -2 + 6 + 0 + b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 4?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 230433679 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 682 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 72*f - 77*f + 3 - f**2 + 0*f**2 - 2. Suppose 3*l + l = 4*h + 176, 80 = 2*l + 2*h. Suppose 5*x = -o - o - 24, l = -5*x + 4*o. Give i(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/42)\/((-2)\/7)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 1, n: 2, q: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 40*o**2 - 16*o + 14. Let q(p) = -41*p**2 + 14*p - 12. Determine 7*q(n) + 6*y(n).\nAnswer: -47*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + m - 2*m)*(0 - m**3 + 0) + 10*m**2 - 67*m**4 - 2*m + 62*m**4 - 2*m**2.\nAnswer: -6*m**4 + 8*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-7071.\nAnswer: -35355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1917 or 1863?\nAnswer: 1863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/15)*(w*w*w**(-14)\/w)\/w assuming w is positive.\nAnswer: w**(-209\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/293, -31, 1, -0.1 in increasing order.\nAnswer: -31, -0.1, 2\/293, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -2, 0, 0.456 in ascending order.\nAnswer: -2, 0, 0.456, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 16 = t. Let x = t + 14. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 7*f**2)*(5*f**3 + 0*f**3 - 4*f**3) - 2*f**5 + 3*f**5 + 0*f**5 + (-f + 2*f**2 + f)*(4*f**3 + 2*f**3 - 7*f**3) + 5*f**5 + 0*f**5 - 2*f**5.\nAnswer: 9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -169200 rounded to the nearest 1000?\nAnswer: -169000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**2 - 52*n - 7. Let f(c) = 9*c**2 - 104*c + 10. Let z(t) = -5*a(t) + 2*f(t). What is z(27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-7 + (1 - 3))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 + 196*x + 18058. Give d(156).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3056 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 12\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 130357 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p + 14 = 0. Let q(l) = l**3 + 7*l**2 - 2*l. Let h be q(-7). Let i = h + 11. What is the remainder when i is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = -5*u - 638, 629 = -5*u + 1121*i - 1120*i. Are -93 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 197*n**3 - 5*n**2 - 3*n + 2. What is s(-1)?\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-12) + (-5)\/(30\/(-743)). Suppose 0 = -8*k + 4*k - u. Is -27 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 7*h + 12. Let z be o(8). Suppose -49 = -z*n - 9. What is the units digit of n\/2*(-5 + 138\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -30, -12, 4, 18?\n\"Answer: -u**2 + 21*u - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -11. Suppose 5*k - q = 5. What is the remainder when 9 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15158653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112302 - -101?\nAnswer: -112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 5*q**2 + q + 4. Let t = 6 + -4. Suppose -7 + 1 = t*o. Let a be ((-20)\/(-6))\/((-2)\/o). What is k(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2603 by -4.\nAnswer: 2603\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -66? (a) -12 (b) 1\/5 (c) -14 (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 2522\/9, 4, -0.037, 0, -3, -1\/9?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 277977156 to the power of 1\/2, to the nearest integer?\nAnswer: 16673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**5\/5 - b**4\/6 + 7*b**2\/2 - 6*b. Let l(n) = 2*n**3 + n**2 - 4. Give 4*h(v) + 7*l(v).\nAnswer: -2*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1739650 divided by -110?\nAnswer: -15815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 2, 135 in decreasing order.\nAnswer: 135, 2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 9:45 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-d + 3*d - 5*d)*(2 + 10 + 15) - 2*d + 3*d - 3*d)*(4 + d - 4).\nAnswer: -83*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1671.0885 rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011111001000 - -101100001?\nAnswer: 1101100100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**2 + 76*f + 45. What are the prime factors of y(-28)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/8 (b) 10 (c) -4 (d) -186 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10013510294 to five dps.\nAnswer: 0.10014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 16875.\nAnswer: 33750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 h when three letters picked without replacement from yhhzzzzyyzyyy?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 3*h - 5. Let b be g(-3). Let z(a) = -a**3 - 5*a**2 + 1. What is the remainder when z(b) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -34, -54, -84, -130, -198, -294?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 3, o: 1, p: 1, y: 1}. Give prob of sequence pu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 344408*x + 97830.\nAnswer: 344408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 993 = -d, 879*d - 4*j + 5413 = 884*d. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 28 + 11 = 0. Let a = j - 13. Suppose -4*f - d = -3171, -a*d - 50 = 2*f - 1632. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 105*u + 1254. Calculate m(-91).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**2 + 375795*a**3 + 375816*a**3 - 6*a**2 - 751613*a**3.\nAnswer: -2*a**3 - 16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + i**3 + 14*i**3 + 2*i**3 - 3*i + 3*i + 3*i - 3*i - 2*i**3 + (2*i - i**2 - 2*i)*(-2*i + 3*i + 0*i))*(23*i + 2 - 30*i - 1).\nAnswer: -112*i**4 + 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u**8\/u))*u**(2\/49)\/u)\/(u**(-6\/11))**13 assuming u is positive.\nAnswer: u**(7078\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 1612412.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -55. What is the closest to l in 4, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153210?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6522 is divided by 3247.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4295 (b) -2\/5 (c) 2 (d) 0.5 (e) -0.1 (f) 15\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - -5 - 1326\/323. What is the fourth biggest value in h, 3\/7, -2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-2) - 1)\/1. Let j be (1\/i)\/((-2)\/12). Suppose 2*d - 5 = -m, -d - 3 = -j*d - m. Is d less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 24. Let y be 221\/(-130) - v\/5. Let s = -49.24 - -49. What is the third biggest value in -0.4, s, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 16. Let j = 4 - 1. Calculate the least common multiple of k(-11) and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (396\/495)\/(14\/(-5)). Let k = -0.7 + -0.3. Let h = -13 + 10. What is the second smallest value in h, d, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76492 divided by -4\nAnswer: -19123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbqjbbqpqqhhqhsq. Give prob of picking 1 s and 1 h.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*l**2*r - 1073*l**2 + l*m*r**2 - 2*m*r**2 + m*r - 164*m - r**2 wrt l?\nAnswer: -16*l*r - 2146*l + m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*w**3 + 207*w**3 - 344*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -428*s**3 + 464*s**2 - 36*s = 0.\nAnswer: 0, 9\/107, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.21177531+4.59\nAnswer: 4.80177531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01495 to 4 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 928 and 45805790.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 6:12 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*y + 5*y + 8*y**2 - 19*y + (y - 2 + 2)*(-2 + 2 - y) - y**2 + 4*y - 4*y.\nAnswer: 6*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 6*g**2 + 4*g + 1. Let z be c(-5). Suppose -5*t - z*i = -2*i - 65, 2*t + 5*i = 43. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 132 = h - 145, 4*o + 18 = -3*h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*o - 9534256*a**3 - 289403*a + 59*o wrt a.\nAnswer: 12*a*o - 57205536*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/11*6\/244. Are 1 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 10, -18 in ascending order.\nAnswer: -18, -1, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*u + 9*u - 1240 = 35*u for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 589966913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 21 + 18. Sort -1, u, 5 in decreasing order.\nAnswer: 5, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) 3 (c) -0.1 (d) 15.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*b + b**2 + 136*b + b**2.\nAnswer: 2*b**2 - 25*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -3 - 28) + -91 + 104\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/35 + 19\/7. Suppose s - m*s + 10 = 0. Let -3 - s - 31*t**2 - 19*t**2 + 40*t = 0. What is t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1836 and 100170?\nAnswer: 3405780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -11*w**2. Suppose -2*p = 2*z, 6 = 4*p - 3*p - 2*z. Suppose 0 = 5*f + 62 - 72. Let m(d) = d**2 - f*d**2 + 3*d**p + 0*d**2. Calculate q(m(l)).\nAnswer: -44*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 55 = v - 5*v, -2*t - 4*v + 42 = 0. Suppose 14*r - 152 = t*r. Suppose 2*y = 4*u - 114, 3*y + 44 - r = -3*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325 a factor of 271524300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 793 divided by -136657.\nAnswer: -793\/136657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1354988*t**5 + 15*t**3 - 16*t**2 - 2513*t - 44 wrt t?\nAnswer: 81299280*t**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1644*j. Let y(u) = -4*u - 10*u + 15*u - 2*u. Calculate y(p(s)).\nAnswer: -1644*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 313*o**5 - 1379*o**2 - 4*o - 4. Let q(m) = -314*m**5 + 1379*m**2 + 3*m + 3. Let z(k) = 4*q(k) + 3*x(k). What is the third derivative of z(s) wrt s?\nAnswer: -19020*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 3*q**2 + 17*q + 5. Give k(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 690 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26000338027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b + -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*(q**(-1\/2)*q*q)\/q)))**28 assuming q is positive.\nAnswer: q**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y - 40. Let o = y - -13. Solve -j + 25 = 2*j + o*x, -14 = -4*j + 3*x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 18*l - 2. Let z be d(-7). Suppose z*y + 4760 = 79*y. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/7 (b) 2 (c) 0.3 (d) 0.04 (e) 157\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5118 and 2559?\nAnswer: 5118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, -0.1, -4, 0.1 in increasing order.\nAnswer: -4, -0.1, 0.1, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -291, -307, -327, -351, -379, -411, -447?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, w: 2, a: 4}. What is prob of sequence ccc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 216 in -2, -0.0092, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2. Let b be (-4)\/10 + (-187)\/(-55). Let v(c) be the second derivative of -2*c + 0*c**2 - 1\/6*c**b + 0. Determine v(y(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -571 = -20*m - 1509 + 338 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -4. Let k(q) = -9*q**2 - 155*q + 2. Let r be k(2). What is the fourth smallest value in r, 0.4, 3\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 523 + -1?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*j**2*l**2 + 514*j**2*l - 2*j - 410*l**2 - l - 1 wrt j?\nAnswer: 8*j*l**2 + 1028*j*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101503 (base 9) to base 12.\nAnswer: 2a9b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.85497 kilometers to micrometers.\nAnswer: 47854970000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 3 = 2*b. Suppose -b*y - 65 = 5*p, -3*p = -y - 0*p - 3. Let g be 3\/y + (-64)\/(-20). Put 1, 5, g in descending order.\nAnswer: 5, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*h**3 + 252*h**3 - 495*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 244 = 4*m, -3*r - m = m + 242. Let a be (-122)\/(-60) - (-16)\/r. Is 3 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1468948, 5875791, 13220528, 23503159, 36723684?\n\"Answer: 1468947*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 442422 - 1?\nAnswer: 442421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5537882 and 1568.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2402, -4819, -7244, -9677, -12118, -14567, -17024?\nAnswer: -19489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -10*y**2 - 3*y - 3. Let a(k) = -9 - 14*k - 52*k**2 - 15 + 3*k**2 + 10. What is -3*a(h) + 14*t(h)?\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -6*f + 42. Determine g(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.1 times -1?\nAnswer: -12.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/15 (b) 0.0631 (c) 14 (d) 84\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 6*t + 9. Give g(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfbfvfvv. What is prob of picking 2 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 725838 * -65\nAnswer: -47179470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*i**2 - 228*i**3 + i + 93*i**2 + 508*i**3 - 888 - 281*i**3 wrt i.\nAnswer: -3*i**2 + 128*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114 + -67. Suppose -2*p - t = -88, -2*p = -p - t - x. Suppose -p = -5*m + 40. Calculate the remainder when 32 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-4)\/3)\/(59740\/309 + -193)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*h - 62*h - 35. Suppose 3*z + h*z = 400. What is the smallest common multiple of 25 and z?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1752, 7069, 15934, 28347, 44308?\n\"Answer: 1774*n**2 - 5*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3092265413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5449580 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*sqrt(500) + -5 - ((sqrt(500)*-2*2)**2 - (sqrt(500) - (1 + sqrt(500) + 3))).\nAnswer: -8009 - 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18930\/(-40))\/((-9)\/144). Let r be 3 - (-1 + 2) - -4. Is p\/24 + r\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 401\nAnswer: -2\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*r - 246 = 299, 0 = -n - 4*r + 268. Suppose 4*x - 112 = -v, v - 4*x + 224 = 3*v. Calculate the highest common factor of n and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, x: 1, u: 1, o: 2}. Give prob of picking 1 x and 1 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*z + 287, 1193 = 6*v - 2*v + z. What is the remainder when v is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 876.80157668.\nAnswer: 876.50157668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (111\/(-74))\/(2 + (-46)\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -123.98281 to 1 decimal place.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0468 * -2.2.\nAnswer: -0.10296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -5\/6*s**3 + 0*s**4 - 5*s**2 + 0*s + 0 + 1\/12*s**5. Factor i(c).\nAnswer: 5*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 292, 550, 808, 1066, 1324?\n\"Answer: 258*v + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1686 is divided by 599?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 - 3*q**2 + 3*q - 3. Let u be h(3). Let j = u + -19. What is the remainder when 55 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -163, -324, -489, -658, -831, -1008?\n\"Answer: -2*y**2 - 155*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*f - 553*f + 21 = -3*z, 3*f = 2*z + 13 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j - 20. Let n(b) = -b**2 - 6*b - 4. Let w be n(-6). Let c(x) = -x**2 + 345*x - 3360. Let d be c(10). Put d, j, w in decreasing order.\nAnswer: j, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*i = -3*i + 9, -4*i + 12 = y. Suppose y = 3*d + 5*s - 162 - 33, 2*d - 134 = -2*s. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 at most 87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -575*l**2 + 664*l.\nAnswer: -1150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1540571?\nAnswer: 103, 14957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysy when three letters picked without replacement from ssyssyy?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((4\/(-2))\/(-64)). Suppose 6*r = -7*r + 858. Suppose 2*n + j + r = -3*j, 91 = -3*n + 2*j. Is n bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3584710147?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 70. Let g(n) = 4*n + 140. Let b(o) = -g(o) + 2*i(o). Let z(a) = -2*a - 1149. Give z(b(m)).\nAnswer: 4*m - 1149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1331303 - 300213?\nAnswer: 1031040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.4, 1\/74, 61 in ascending order.\nAnswer: 1\/74, 0.4, 1, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 81574.52 minutes in milliseconds?\nAnswer: 4894471200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f**5 + 118*f**4 - 278*f**3 - 2422*f**2 + 4268*f + 1680 = 0.\nAnswer: -4, -1\/3, 2, 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 8. Suppose 3*j - 3*o - 36 = 0, -3*o + o + b = 2*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3225996*c**4 - 4*c**3 - 38812854*c**2 wrt c.\nAnswer: 77423904*c - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4735 + -4734. What is the second biggest value in m, -19, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/5)\/((-2)\/(4\/22)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a day in minutes?\nAnswer: 14976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -125411.8300088 + 125412. Let d = -0.17 + b. Round d to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1825, -3597, -5369?\nAnswer: -7141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13979982 and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) -1\/2 (c) -1\/4 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 80, 124, 168, 212?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**3\/3 - 110*y**2 - 11*y. Let l(k) be the third derivative of k**5\/30 + k**2 - 30*k + 4. Calculate l(d(o)).\nAnswer: 8*o**2 - 1760*o + 96800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1328.766 meters?\nAnswer: 132876.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -4*y + 4, 2*d + 3*y = 5. Suppose 0*l + 2*l = -4*z + 18, -d = -z. Let k be 1\/((2\/30)\/l). Solve m = -2*m + k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 70\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -98, -234, -486, -890?\nAnswer: -1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3758589175\/1736 - -2165086. Find the common denominator of z and 5\/18.\nAnswer: 15624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 452, 1019, 1814?\nAnswer: 2837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 122 - (7345 - 7340).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2311, -9211, -20705, -36793?\nAnswer: -57475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20744572 or -20744571?\nAnswer: -20744571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3009 + -2986. Solve -20*x = -b - 17 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 12:15 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-12 + 1 + -10 + 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 742938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**5 + 158*b**4 + 1370*b**3 + 1930*b**2 - 1368*b - 2088 = 0.\nAnswer: -6, -2, -1, 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 25 = -38. Let n = -23 + 9. Let h = j + n. Calculate the smallest common multiple of h and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - p**2 + 2*p - 1. Let i be u(2). Suppose 27*j = 25*j. Suppose j = 5*v - i*v + 72. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*w - 27*w = 10*w - 18*v - 82, -3*w + 4*v + 52 = 0 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 15*w**2 - 16*w + 19. What is the remainder when u(16) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 15 = 5*o, o + 4*o = f + 15. Factor 0 + 1\/4*s**o + 1\/4*s**4 - 1\/4*s - 1\/4*s**2.\nAnswer: s*(s - 1)*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 559892.6 years?\nAnswer: 6718711.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14390, -28805, -43232, -57671, -72122, -86585, -101060?\nAnswer: -115547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2805.4 - 2805. Which is the smallest value? (a) -0.4 (b) -23 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/8 - -15\/8. Let l(r) = 46*r**3 + 2*r**2 - 2*r - 3. Let w be l(-1). Find the common denominator of x and (1\/(-3))\/((-105)\/w).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -5*z, -30*c - 4*z + 4 = -26*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21316091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 16*w - 10. Let t be i(7). Solve -5*p + t = -6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 10912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5447 and -0.1.\nAnswer: -544.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*u = -2*m + 5, 2*m - 1 = -3*u. Suppose m = -2*j + 3*j. Let i = j + 1. Sort -4, i, -2 in increasing order.\nAnswer: -4, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227577 is divided by 110693.\nAnswer: 6191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1283969574.\nAnswer: 2, 3, 17, 19, 220841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 16, -f - 932 + 2730 = -3*q. What is f rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 60, -0.04, 0.035, -5.18?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4\/2 - 37*h**3\/2 - 265*h**2 - 12*h + 2880 = 0.\nAnswer: -10, -4, 3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -13. Suppose -2*h = -4*r, 0 = 5*r - o*h + h + 14. Which is the second biggest value? (a) r (b) 0.11 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 167679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3218, 6448, 9678, 12908?\nAnswer: 16138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 487361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47.513738 + -1556.\nAnswer: -1603.513738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 2)*(2*q**3 - q**3 + q**3) + 9*q**3 - 11*q**3 - 5*q**3 + 2*q**3 - q**3 + q**3 + 5*q**3 - 4*q**3 - 3*q**3)*(-3*q + 2*q - 2*q).\nAnswer: 27*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 90118 = -2*v, -4*v + 2*k + 148868 = -31382. Is 111 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(2\/49))\/(r\/((r\/(r\/r**18))\/r)))**11 assuming r is positive.\nAnswer: r**(9141\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, w: 4}. Give prob of picking 2 w and 1 l.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*r - 70*r**3 - 61*r - 2 + 2 + 112*r.\nAnswer: -70*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v - 3*v + 79*v**4 - 30*v**2 - 3*v**5 - 91*v**4 wrt v.\nAnswer: -180*v**2 - 288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgkg when four letters picked without replacement from vvgvggkggvv.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 12:56 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 4*f - 1. Let n be (58\/10 + -5)\/(4\/(-10)). Determine m(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 6*o + 3*o + (-37*o - 31*o + 75*o)*(1 - 3 + 1) + 15*o - 15*o + 17*o + 0*o - 4*o + 6*o.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 114111560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3 + 25. Suppose 9*c = 10*c - w. Suppose -13 = g - c. Which is bigger: -5 or g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5047 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2320466 and 59.\nAnswer: -72.6907494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b + 3*b = 736. Suppose 0 = 2*r - b - 44. What is the greatest common factor of 152 and r?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/((sqrt(120)\/sqrt(2))\/sqrt(12)) + -1)**2.\nAnswer: -2*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 11*o + 656. What is the lowest common multiple of w(-44) and 32?\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**4 + 138702*z**3 + 16885*z**2?\nAnswer: 48*z + 832212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 729, -272, -2\/7?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15*3*225\/(-540)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 1. Let a be (-2)\/14 + (-1)\/7. Are a and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1200361128 rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -2\/1913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, 48, 63, 58, 27?\n\"Answer: -h**3 - h**2 + 39*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 153 = 15*x. Sort x, -5, 0, -4 in ascending order.\nAnswer: x, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -24 + 22 + 7 - -11 - 29?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.08117 rounded to the nearest integer?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f00 - -8c0c?\nAnswer: 9b0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2493452 rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 9*v - 9. Suppose v*i - 2582 = -272. List the prime factors of (-6)\/5*i\/(-28).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3143551450688 - -0.03.\nAnswer: 3143551450688.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/34485360 and -99\/800.\nAnswer: 344853600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*z + 52. Let g(i) = -5*i. Let h be g(-1). List the prime factors of z\/h + (-8)\/(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from xxeewxxejeh.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**4\/12 - 2*o**3\/3 + 2*o**2 - 16*o. Give p(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 4*i - 4*t - 4, -i + 2*t + 3 = 0. Let m = -38795 - -38800. Which is the nearest to 2\/17? (a) 2 (b) i (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3708797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhrmjjnjm. Give prob of sequence nmj.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 19. Suppose -i = -0*o + 2*o - 7, f = -5*i - 25. What is the remainder when o is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -751 and 1159 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*n + 563 + 555 - 152 = 0 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 91\/59?\nAnswer: 91\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5 + 2534*r**4 - 361020*r**3 + 13864968*r**2 - 13506480*r = 0. What is r?\nAnswer: 0, 1, 78, 1110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 8*h**2 + 4*h. Let w(j) = 2*j**3 - 15*j**2 + 8*j + 1. Let u(i) = -5*v(i) + 3*w(i). Let r = -1582 + 1588. List the prime factors of u(r).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x - 5. Let s(p) = -p - 1. Let j(a) = 4*a + 5. Let y(v) = j(v) + 5*s(v). Let w(o) = q(o) + 3*y(o). Suppose 2*b - 16 = -2*b. What is w(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46*d + 124*d**3 + 6*d**4 - 184*d**2 + 146*d + 0*d**4 - 276*d.\nAnswer: 2*d*(d - 2)*(d + 22)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.76 - -1.76. Which is the third biggest value? (a) -0.04 (b) 1\/11 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 440\/275*4\/((-8)\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 - 690*h**2 + 2068*h - 5507. Give t(342).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c + 484*c**4 - 4*c - 1 - 245*c**4 - 61*c**2 + 3*c**3 - 242*c**4 to n*c**3 + t*c + o*c**2 + b*c**4 + l and give o.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -b187 (base 16) in base 2?\nAnswer: -1011000110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(-8) + 1 + 0. Let s be (-24)\/(-10)*(-30)\/(-12). Let i be 4\/6 - (-2)\/s. Which is the biggest value? (a) w (b) 2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + -33. Suppose 0 = -2*y + k. Solve y*m - 5 = 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63201 or 63195?\nAnswer: 63195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11133 (base 5) to base 15\nAnswer: 37d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 69*u + 9. Let r(d) = 4 + 17*d - 2 + 4 - 4. Let g(c) = -2*q(c) + 9*r(c). Let o(s) be the third derivative of s**4\/12 - 5*s**2. Give g(o(y)).\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -5*j + 10 + 20, -2*j = u - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -9*m - 2*m - m + 3. Does 13 divide q(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/(12\/54). Suppose -165 = 2*l + j*l. Let k = -5 - l. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15607.\nAnswer: 15607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 + 120 = o. Let a = 16 + -11. Suppose 0 = -5*x + a*z + o, 4*x - 2*z - 34 = 188. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 169.6 + -50. Let n = d + -2.6. Let m = 117.0049 - n. What is m rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3 = -7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 4*w + 7. Let y be v(5). Let r = -3 - y. Let z = -9.2 - -9. Which is the third biggest value? (a) 0.1 (b) z (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 59850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 17*i + 39. Let w be (-1)\/4 + ((-66)\/(-8))\/(-3). Let f be (-40)\/(w - -2)*6\/15. What is the remainder when 43 is divided by j(f)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x - 5. Are x and -36\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45322683*q**5*s - 2*q**3*s + 29573*q**2*s - 246*s + 1 wrt q.\nAnswer: -2719360980*q**2*s - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 + 10 = -22*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**2\/15 - 10994*m\/15 - 3664\/5 = 0?\nAnswer: -5496, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 553851 to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 0. Let f(o) = -4*o**2 + 2*o - 3. Let b(k) = k - 1. Let m(v) = 2*b(v) - f(v). Give m(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-1404)*13*1*-5.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1188 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5*-1.8\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 40*a + 34*a + 0 + 23*a.\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9507792*g**2 - 13*g + 76657.\nAnswer: -19015584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3433095 divided by -963\nAnswer: 3565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*d**2 - d + 12 + 15*d**2 + 12*d**2 - d**2 + 22*d**2 as m*d + a*d**2 + g and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 298966154*l**3*p - 15342197*l**2 + l*p wrt l.\nAnswer: 1793796924*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen fifths of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -10*d**2 - 32 + 71 - 30 - 9. Let p(b) = 3*b**2 + 21. Calculate p(g(n)).\nAnswer: 300*n**4 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -114031 (base 5) to base 4\nAnswer: -1002222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 0*n + 0*n + n**2 - n - 12. Determine c(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-5 - -13) + 46284\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/145*(-53520)\/(-48168)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(24)\/(sqrt(24)\/sqrt(2))))\/(sqrt(72)\/(-1*sqrt(726) - sqrt(6))).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (31\/(-93))\/((-4)\/(-36)). Let f = 13\/22 + -1\/11. Let l = 2 + 0. Which is the biggest value? (a) j (b) l (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -3*n + 80*u - 85*u - 10, -3*n + 6 = -5*u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 91*b**4 + 11*b**2 - 1888*b - 6433764.\nAnswer: 364*b**3 + 22*b - 1888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**3 - x + 1. Let i be r(2). Let o = i - -24. Calculate the remainder when o is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 79 = -73 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 294 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.46, 5, 0.4, -0.3?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -53.7 (b) -2\/11 (c) -0.03 (d) 11\/3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 444 - -1?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -550*f*r**3 - 101*r**3 wrt f.\nAnswer: -550*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 57862.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1126290 divided by -5\nAnswer: -225258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 2. Let b = 1 - -4. Let o be a(b). Let l(c) = c**2 + 16*c + 41. Let m be l(-13). Solve -m*f + g - 3 = 0, -5*g + o = 3*f - 25 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1465598467.\nAnswer: 1465598467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 9*i**3 + 31263*i**2 - 40572342*i + 13520640 = 0.\nAnswer: -4480, 1\/3, 1006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + (-2*(-5*sqrt(612) + sqrt(612) - sqrt(612)) - (1*sqrt(612) + -5)))**2 + -2.\nAnswer: 648*sqrt(17) + 49610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**5\/2 - 2333*t**4\/2 + 9343*t**3\/2 - 11683*t**2\/2 + 2337*t = 0 for t.\nAnswer: -2337, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*(q\/(q*q**5\/q))\/q*q**4*(q**1)**(-2\/31) assuming q is positive.\nAnswer: q**(29\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.53 + 35.47. Let x = r - 36.0000081. What is x rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27215 divided by 7?\nAnswer: 27215\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14*-1*6\/(-4). Let p be (-6)\/4*(-14)\/i. Let s be -4*(-4 - (p - 4)). Sort s, -3\/4, 0.2 in descending order.\nAnswer: s, 0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**2 + 3*a - 3. Suppose -w + 15 = -6*w. Let z(q) = -7*q**2 + 5*q - 5. Let c(y) = w*z(y) + 5*k(y). Let r(s) = -2*s**2. Determine r(c(v)).\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**2 - 3*s**2 + 5*s**2. Let w(n) be the third derivative of -109*n**5\/12 + 16309*n**2. What is w(a(h))?\nAnswer: -545*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -16.396 and -5.\nAnswer: -21.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*g = -3. Suppose -3*o - o + 16 = 0. Suppose o*y - 9 = 15. Solve -g*f = 3, f = x + y*f + 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 5, -184 = 4*q + 5*l - 177 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mma when three letters picked without replacement from aaaaaaamaaaam?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 - 22*h - 1.\nAnswer: -22*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*k + 209*k = -6*y - 12 - 8, -k - 31*y + 178 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -568, -0.1, -2\/165, 0, -4?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m = -44*m + 23036. Let d = -884 + m. Suppose -9 = -2*n + 2*z - 7*z, 5*z - 3 = n. Solve n + 2 = -d*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 13*n - 45. Let t be u(9). Suppose 0 = -10*v + t + 207. Calculate the greatest common divisor of v and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d, -10*o - d + 21 = -5*o. Solve -o*n = 3*m - 2*m - 20, -5*m + 2*n = -12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/13591175 and 50\/39.\nAnswer: 40773525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -55.3*-0.4\nAnswer: 22.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 510192 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*s - 10, 0 = -r + 10*s + 27 + 62. Calculate the remainder when 711 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -453 + 640. Let h be u\/(-136) + 3\/2. Factor 1\/8*k**2 + h*k + 0.\nAnswer: k*(k + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-4))\/(27\/(-18))*20\/(-50). Find i such that 2\/3*i**2 - 2\/9*i**3 - q*i + 2\/9 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + 3*g + 7*g + 8*g + 4*g - 12*g.\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3636 plus 5?\nAnswer: -3631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u**3 + u**2 + 9*u + 7. Calculate the remainder when v(-3) is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 2470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 34 (c) -5 (d) -87 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2 - 194*m + 1892. Give n(13).\nAnswer: -1137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007269177 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1312095 and 14?\nAnswer: 1.836933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbfbfmffxbb. What is prob of picking 4 b?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728635297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k. Let n(u) = -233 + u + 241 - 3*u. Let m = 5 - 1. Let i(c) = m*l(c) + n(c). What is the derivative of i(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21918 + 76*b**2 + 21918)*((-5 + 4 + 2)*(2*b + 5*b - 5*b) + 2*b + 2 - 4 - b).\nAnswer: 228*b**3 - 152*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 743 - 95. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8657 and 1574.\nAnswer: 17314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = -j + 19240 - 19243, -4*b - 9 = -0*j + 3*j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/14)\/(220\/8855)*2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 12 + 82 = -2*g, -157 = -5*t - g. Let f be (-2 - t\/(-14))*-2. Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-46 - 8) + (-158 - -157)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*b - 20709 - 5417 = -2582. Let y(l) = l**2 + 2*l. Let a be y(-6). Calculate the highest common factor of a and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 + 255 + -16 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/(-108)*256\/168.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 - 98 + 2*n + 5*n - 1105*n**3.\nAnswer: -1105*n**3 + 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150114, -151432, -152750?\nAnswer: -154068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.5 (c) -1\/15 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(7) - (sqrt(847) - (-1 + sqrt(847))) - (sqrt(7) + 0 + sqrt(7) + 1)))**2.\nAnswer: 16*sqrt(7) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*o - 9*o + 31*o = 0. Solve 32*m + 5*n - 1 = 35*m, o = 5*m - 4*n - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23587.95064 to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + z**2 + z + 1. Let r be m(-3). Find the common denominator of 57*6\/48*r\/(-3) and -87\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*h - 2*c, 0 = -2*h + 2*c - 1 + 11. Let j(r) = 4*r**2 - 17*r + 3. What is the hundreds digit of j(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**4\/12 - 8*p**3\/3 - 5*p**2. Let s be g(10). Solve -y - 4 = -2*y - 4*v, -s*y - 4 = -4*v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 - 4*b**3 - b**3 + (3 + 0 - 1)*(b + 2*b**3 - b) + 5*b**3 - 13*b**3 - 10*b**3 + b**3 + 0*b**3 + 0*b**3 + 0*b**3 - b**3 + 3*b**3.\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 244005 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v - 5\/3*v**3 - 18 - v**2. Give o(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71999356 to the power of 1\/3, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 37, 55, 81?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l**(1\/3)))**(1\/35)\/((l\/(l**(-7)*l))\/(l\/l**(1\/19))) assuming l is positive.\nAnswer: l**(-12151\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 891\/7 + -127. Let w = -327446 - -327446.2. Let n = 0.6 - 0.5. Which is the smallest value? (a) n (b) w (c) s (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/39 - 23\/13. Which is greater: b or -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 175283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00342 to 4 decimal places.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/13 + 2976*v\/13 - 493240\/13 = 0. What is v?\nAnswer: 190, 1298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j + 5. Let y be (120\/9)\/((-14)\/(-21)). Let q(h) = -y - 4*h + 19 + 3*h - h + h. Determine -n(z) - 4*q(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4059 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 8 = -23, 5*m + 5*s = -395. Let o be 4\/(-6)*m\/(-8). Let p(l) = -l - 7. Let q be p(o). Solve q = 4*n - 4*v - 12, 2*n + 2*v + 5 = -9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15475765?\nAnswer: 5, 83, 89, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.238, 8, -2\/19 in increasing order.\nAnswer: -2\/19, 0.238, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-153)\/36)\/17*(-6)\/(-1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**2 + 10 - 2*z**3 + 3*z**3 - 2 - z.\nAnswer: (z - 8)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -1\/3 (c) -22160 (d) 1\/112 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7999 is divided by 150?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g + 7011 = -35*g. Let f = g - -1238. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 7. Let n be l(-4). Suppose n*g + 2*r = 27, -6*r = -2*r - 12. Suppose g*s - 12 = 3*s. Solve -s = q + 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((216\/(-30))\/(-9))\/((-2)\/15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((-9 - 1) + 9 + 21)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6\/7 - -55\/56. What is the second biggest value in -0.2, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -3 (b) -31 (c) 1 (d) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*q - 410, 3*v = -3*q + 4*q - 203. Suppose -3*y + 3*d = -168, -4*y + 0*y - d + q = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tcc when three letters picked without replacement from {c: 3, t: 5}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17209891?\nAnswer: 1019, 16889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 17.8. Which is the third biggest value? (a) q (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8*y**2. Let w(f) be the second derivative of f**4\/12 + 29*f. Determine w(u(t)).\nAnswer: 64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + -4652 + 1 + -3. Let c = 9040 + x. Does 24 divide (-4)\/(-6) - c\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2940, 5722, 8500, 11274?\n\"Answer: -2*c**2 + 2788*c + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(102)\/(-2*sqrt(24) + sqrt(6)) + -5 - (sqrt(85)\/((sqrt(60) - (sqrt(540) - sqrt(60)))\/sqrt(12)) + -2)).\nAnswer: -10*sqrt(17)\/3 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 36*f**2 + 17*f**2 + f.\nAnswer: 53*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iccmciiycci. Give prob of picking 1 y and 1 i.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 0. Let g = 6 + -9. Let i = g + j. What is the second smallest value in i, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 4*q - 8*q - 8*q.\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2567 divided by -879?\nAnswer: 2567\/879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25405 - -37525. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18839, -17815, -16115, -13745, -10711?\nAnswer: -7019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfyflyltyytflflffy. What is prob of sequence ffty?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilqcxlqckqlk. Give prob of picking 1 i and 1 l.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r = t + 6*r + 5, 12 = 4*r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 8*r + 7. Let i be c(7). Suppose 3*t = 2*b + 1, 2*t - 7 = -2*b + 17. Let h(k) = b + 0 + 2*k - k. Give h(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3972779441?\nAnswer: 577, 6885233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/5 + 32*a**2\/5 + 22*a + 76\/5.\nAnswer: -2*(a - 19)*(a + 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 52*h + 52*h - 1 - 109*h + 1 + 3. Suppose -2*t + 3 = a - 5*t, 3*t = 2*a - 6. Let q(x) = -5*x + 2. Give a*q(j) - 2*n(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10110020 (base 3) to base 7\nAnswer: 10224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 6*x**2 + 15*x + 16. Calculate g(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*u + 2*u. Let m(z) = 7*z - 1. Let h(x) = x. Let q be 82\/9 + (-1472)\/(-1656). Let v(b) = q*h(b) + u*m(b). What is the derivative of v(j) wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 30098778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4\/4 - 61*k**3\/4 - 31*k**2 + 1831*k + 3660 = 0. Calculate k.\nAnswer: -10, -2, 12, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4*(-8)\/6. Suppose g - 66 = -3*r, k*g = 6*g. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -178350 and -0.6.\nAnswer: -178350.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 76 = -2*a. Calculate the highest common divisor of a and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -8*o + o**2 + 20*o - 15*o - 2. Let z(m) = 6*m. Let n(s) = -28*s + 8*s + 11*s + 8*s. Let v(x) = -11*n(x) - 2*z(x). Give -t(i) + 4*v(i).\nAnswer: -i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -81 or -1391\/17?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*j + 71*j - 685 + 340 + 346.\nAnswer: 15*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*s**2 + 12*s**2 - 21*s**2 in the form d*s**2 + k + a*s and give d.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(980)*5)\/(sqrt(70)\/(sqrt(7)*-1)).\nAnswer: -35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 5604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h - 288 = 8*s, 14*s - 17*s - 96 = 5*h + 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - (-12)\/(-30))*-1 and -109\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -o - 1. Let u = o + 8. Solve z - 1 = 5*y - 0, -3*y = u*z - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*m + 57, -5*m + 5*d + 47 = -13. Suppose -m = 6*n - n. Let w(o) = -4 + o**2 + 0 + 6*o + 5. Calculate w(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(3*k**2 - 4 + 4) + (2*k**2 + 2*k**2 - 2*k**2)*(3 - 6 + 2) - 3*k**2 + 3*k**2 - k**2 + 2*k**2 - 4*k**2 - 3*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -5. Find w, given that -3 - 18*w**2 - 27\/2*w - 6*w**r = 0.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -12*p**2 - 2*p + 23. Let n(c) = 2*c**2. What is o(n(a))?\nAnswer: -48*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64018 is divided by 776.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 356 and 13261.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z - 3. Let t(h) = -2*h - 4*h + h + 5 + 3. Let l = -45 - -31. Let i = -6 - l. Determine i*j(d) + 3*t(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 318159613492 from -0.3.\nAnswer: -318159613492.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 9:06 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1352?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (7 - 1)\/(6\/909)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 - 132864*d + 132864*d.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 40 = -n. Calculate the remainder when 14 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24383 at most as big as -5144916\/211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 681, 691, 713, 753, 817?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102965.\nAnswer: 5, 20593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.785 < -1695\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -213.2 rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/4 - 5733*d**2\/4 - 148551*d\/4 - 964483\/4.\nAnswer: -(d + 13)**2*(d + 5707)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80.17 + 17.83. Let r = -231 + 231. Are r and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-963)\/(-33) + -29)\/(1 - 0).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102002210112 (base 3) in base 11?\nAnswer: -7a5840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, a: 6, y: 2, l: 2, g: 5, t: 1}. What is prob of sequence yla?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v = s + 11, 0 = -v + 5*s + 17. Suppose 4*g = -v*k + 12122, 8497 = 2*k - 5*g - 3616. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*(-477)\/53?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Suppose t = 4*a + 6, -37 = -3*t + 3*a + 8. Suppose -68 = -t*r - 14. Solve -o + y = 0, s - r*o = -5 + 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566*a = -1212*a + 574*a + 2452 + 860 for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.2. Let r be 4 + -1 + (-240)\/70. Which is the nearest to x? (a) 1 (b) r (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 35 - 1) + 2. Let k = x + -177\/5. What is the third smallest value in 0.3, k, -25?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 319, 589, 877, 1177, 1483, 1789, 2089, 2377?\nAnswer: 2647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-nine fifths of a micrometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 646 + -656. Let y be (8\/g)\/(7 + 330\/(-50)). Let w(x) = 5*x**3 + 10. Let f(c) = 2*c**3 + 3. What is y*w(j) + 7*f(j)?\nAnswer: 4*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -392 divided by 98.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2319075.\nAnswer: 2\/2319075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + (sqrt(55) + 5*sqrt(110)\/sqrt(2))\/sqrt(5)))**2.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5577386, -5577283, -5577180, -5577077?\nAnswer: -5576974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13480)\/14828)\/((-75)\/(-22))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*(0 + 1 + sqrt(405) + sqrt(405) + sqrt(405)*-1 + sqrt(405) + sqrt(405) + 3 + (sqrt(405) + -1 + -2 - (sqrt(405) + -1 + 0)))**2.\nAnswer: -14594 - 432*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4)\/i**(2\/21) assuming i is positive.\nAnswer: i**(-86\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 69 - 88 = -4*l, -8 = 3*u + l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fddi when four letters picked without replacement from {f: 4, i: 1, d: 2, l: 2}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606234 (base 9) in base 15?\nAnswer: 128bd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or -32?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91810 is divided by 1377?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*s = -330*s - 27 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/9 + ((-1120)\/(-12))\/4. Find the third derivative of 22*o - 22*o - 10*o**6 - b*o**2 wrt o.\nAnswer: -1200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22438 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2517718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -12. Let x be 8\/m - 2 - 1. Sort x, -3, 4\/3 in decreasing order.\nAnswer: 4\/3, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 1106*k + 62 = -568*k - 550*k, -2*w + 5*k = -25 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8.19 or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 15 + -11 - (1 - -3)) + 20\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 24. Let p = -107\/4 + x. Put -2, p, -0.5 in increasing order.\nAnswer: -2, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 353723?\nAnswer: -21\/353723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 2, h: 1, m: 1}. Give prob of picking 1 e and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 378.9 and -475.0776?\nAnswer: 853.9776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, q: 12}. What is prob of sequence cq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 827 = 5*o, -2*f + 7*o + 553 = 2*o. Suppose -6320 - f = -6*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148 or 23180?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 539, 543, 547, 551?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(128\/12 + -2)\/2 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1331) - (-3 + ((sqrt(1331) + sqrt(1331) + 1 + sqrt(1331) - sqrt(1331)) + sqrt(1331))**2)) + -1.\nAnswer: -35932 - 165*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*sqrt(304) - (sqrt(19)*-4*1 + sqrt(19))**2)*1.\nAnswer: -170 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 5*i - 8. Let o(d) be the third derivative of -d**4\/8 + 2*d**3\/3 - 7*d**2 + 5*d. What is 5*o(a) + 3*x(a)?\nAnswer: -3*a**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**5\/30 - 9*u**4\/2 + 169*u**2. What is x in d(x) = 0?\nAnswer: 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19057751 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 178007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -1524?\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31368 times 10?\nAnswer: 313680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 41*z**2 - 22*z + 68. Let y be x(3). Suppose 4*l - 1412 = -31*m + 35*m, l - y = -5*m. What is the remainder when l is divided by 91?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56? (a) 229 (b) -2\/21 (c) 0.4 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (5 - -2) - (-2 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 30, 64, 112, 174, 250, 340?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121532\/11 + 11058. Is n at most 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 17 = 5. Solve r*c = -2*w + 10, -2*w = c - 5*c + 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1454583 by -3.\nAnswer: -484861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwhhwwwwww. Give prob of picking 1 h and 1 w.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - ((58 - 89) + 53 + -2 + -17)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 79005208558 and -0.161?\nAnswer: 79005208558.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, z: 1, d: 2, y: 1, o: 1, m: 1}. Give prob of picking 1 y and 1 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 303\/14 - -1\/42. Let h = z + -64\/3. Let p = 0.063 + 27.937. Sort h, p, -0.3 in increasing order.\nAnswer: -0.3, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45780803.\nAnswer: 37, 421, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**4 - 22*o**2 + 22*o**2 + (-78*o**3 - 60*o**3 + 46*o**3)*(5*o - 2*o + 0*o) as a*o + x*o**4 + u*o**3 + n + l*o**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*f + f + 0*f + (1 - 2 + 3)*(2*f - 2 + 2) + 3*f - 3*f - f - f + 1 - 1.\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 798, 1589, 2382, 3177, 3974, 4773?\nAnswer: 5574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d + 8*d - 2*d)*(-28 - 19 + 5 + 2 + 1 - 2 + (1 - 2 + 0)*(1 + 0 - 3) + 0 + 3 - 4 - 1 + 0 + 3).\nAnswer: -456*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -718446*g*x**2 - 98320*x**2 with respect to g.\nAnswer: -718446*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -20. Let t = 30 + w. Suppose p + t = u - 0*u, 46 = 4*u + p. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -2 - (2 - 4)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28061535 to the nearest integer?\nAnswer: 5297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458079 is divided by 229015?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*l - 378, 0*u = 2*u - 8. Let d = l - 664\/9. Is d greater than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 123\/20 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, w: 2, d: 1, h: 1, s: 1}. What is prob of sequence hw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6\/5))**43\/(t**(-1\/37)*t*t**28) assuming t is positive.\nAnswer: t**(-14906\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 326473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*h - 51*h = 21520. What are the prime factors of h?\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*j - 19*j - 340 = -10*j. Solve -3*f + w = j*w - 24, 2*f - 20 = -3*w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 15*r = -93 + 2813. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-207*h**3 + 497*h**3 + 210*h**3)*(3 + 1 - 2).\nAnswer: 1000*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2. Let f(r) be the third derivative of 50*r**2 + 0 + 0*r + 0*r**3 + 11\/12*r**4. Determine u(f(s)).\nAnswer: -484*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 11:08 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 31705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2541) + sqrt(2541) + sqrt(2541)*-1)*3 + 2*sqrt(2541)*-2)\/(-1*sqrt(18)\/(sqrt(42)\/sqrt(63))).\nAnswer: 11*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 102\/5*l**3 + 3\/5*l**4 + 768\/5 + 1632\/5*l + 963\/5*l**2.\nAnswer: 3*(l + 1)**2*(l + 16)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from nqssuqs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -323909004 divided by -174\nAnswer: 1861546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*f + 5, 4*p = f - 6*f - 6. Let v(h) = 5*h**3. Let t be v(p). Let s = 2.5 + -3. Which is the nearest to -1\/2? (a) t (b) s (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/(-21))\/(4\/(-14)). Suppose 0 = -h*f - p - 0*p + 23, f + p = 8. Is 1948\/f + 51\/(-85) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1386615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, w: 2}. Give prob of picking 1 w and 1 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871553.\nAnswer: 871553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -36, -0.4, -0.09?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12297*50.4.\nAnswer: -619768.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 + 10130485*l**3 + 162088720*l**2 + 648356160*l.\nAnswer: -5*l*(l - 2026113)*(l + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/968 and 42\/121?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 divided by 1.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 < 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 9 = -f. Does 9 divide (13\/(-2))\/(f\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 8. Let z be v(6). Let d be 3\/6 - z\/(-8). Let x = -0.7 - 3.3. What is the second biggest value in d, 1, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10172448443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 229490 to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 7:06 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*m**3*z**3 + 113439*m*z**3 + 3483*z**3 + z**2 + 2 wrt m?\nAnswer: 12*m**2*z**3 + 113439*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 500004781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4298661 rounded to the nearest one hundred thousand?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 0*g + 0*g - 9*g - 1 + 4*g.\nAnswer: -7*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64261680 and 406?\nAnswer: 64261680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -3. Let c = u - -2. Let i = c - 0.4. Sort 0.2, i, 2 in increasing order.\nAnswer: i, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (3 - (14 - 16)) + (-19 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -445566 divided by 3454?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40322 - -67963. What are the prime factors of i?\nAnswer: 131, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.93 + -0.07. Let s = 9.9 + m. Is -5 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 7:35 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**5 - 60*i**4 - 270*i**3 + 60*i**2 + 273*i = 0.\nAnswer: -13, -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 7 = -4*g. Let x(v) be the second derivative of 1\/45*v**5 + 9*v + 0*v**2 + 1\/63*v**7 + 1\/27*v**6 + 0 + g*v**4 + 0*v**3. Solve x(w) = 0 for w.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41994 and 14?\nAnswer: 293958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 68 = -68*m. Put m, 12, -4, 3, -5 in ascending order.\nAnswer: -5, -4, m, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49506280 + -49506434.999889. Let p = w + 155. Round p to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/980 and -85\/2212.\nAnswer: 77420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -39360092 to the nearest 10000.\nAnswer: -39360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 310 in 1136, 1.7, 0.4?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-612)\/3978 - ((-93)\/13)\/1. Let y(s) be the third derivative of 0*s**3 + 0*s + 0*s**4 + 0 + 1\/6*s**5 - i*s**2. Let d(u) = u**2. Determine d(y(c)).\nAnswer: 100*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 0*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2698 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1956 + 2038. What are the prime factors of v?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548 + 1018 = 3*d. Suppose 10*t - 16*t = -d. List the prime factors of t.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 o, and 1 d when four letters picked without replacement from {o: 2, a: 2, d: 10}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54641.64 micrograms to grams.\nAnswer: 0.05464164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f + 24. Calculate l(9).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92 + 98. Suppose 5*d - s*d + 5 = 0. Suppose 5*i = -5*p + 40, 2*i = p + 5*i - 16. Solve -d*t = -2*l - 9, -4*t - p*l + 7*l + 10 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1279896*z**3 - 3839727*z**2 - 2559909*z - 78 = 0. Calculate z.\nAnswer: -2, -1, -13\/426632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100 + -1112200?\nAnswer: -1121000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 3:46 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + (17 - (6 + 11 + -10 + 4)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103785?\nAnswer: 3, 5, 11, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 - 53446*s**3 - 487625040*s**2 - 1616697219200*s - 893325795712000.\nAnswer: -2*(s + 683)*(s + 8680)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33869.7 + 33870. Which is the second biggest value? (a) -8 (b) -0.1 (c) -2\/75 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -2163417.\nAnswer: 4\/2163417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 147, 581, 1325, 2403, 3839, 5657?\n\"Answer: 4*i**3 + 131*i**2 + 13*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 5:51 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -4, -7 in increasing order.\nAnswer: -7, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2) + -2)\/((-21)\/(-147)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33062 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1433446 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/2, -696, -2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7497.318 millilitres to litres.\nAnswer: 7.497318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - -70. Suppose 30*g = 28*g + 32. Suppose 2*t - t = g. What is the highest common factor of t and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = -363 - 435. Calculate the remainder when 111 is divided by a.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13763.\nAnswer: 13763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 12\/11 (c) -16 (d) -1 (e) 69\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -51*k - 108 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + p = -209, -3*p + 201 = -2*v + v. Let m be v\/3*(-200000)\/12. What is m rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 561254.\nAnswer: -56125.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2774, -4877, -6968, -9041, -11090, -13109, -15092?\n\"Answer: x**3 - 2110*x - 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 0 - 1\/25*v**6 - 2\/15*v**3 + 1\/10*v**4 + 1\/105*v**7 + 0*v**2 - 4*v + 1\/50*v**5. Solve h(w) = 0 for w.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 114*r - 6. Let p be s(1). Is (4 - -2)*2\/6 + p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -8. Solve 2*a = f*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*(6*sqrt(180)\/sqrt(3) - sqrt(60))*-6)\/(((sqrt(1452) + sqrt(1452)*1)*5 + sqrt(1452))*4).\nAnswer: -4 + 15*sqrt(5)\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - a - 5*a)*(2 - a**2 - 2) + a**3 - 6*a**2 + 6*a**2 + (-2*a + 3*a - 2*a**3 - 2*a)*(2 - 3 - 2).\nAnswer: 9*a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -434\/29 - 1193\/116. Find the common denominator of r and -31\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 - -5. Let g = 100 - y. Calculate the remainder when g is divided by 2\/(((-3773)\/(-1302) - 3) + 3\/18).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -9*k**2 + 133*k + 164. What is the remainder when 12059 is divided by t(15)?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -167 - -170. Suppose -c*h - 748 - 47 = -3*y, 0 = y - 2*h - 269. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l - 4*v + 204 = 0, 4*v + 146 = 3*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) 5 (c) -0.5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*p**2 + 450867*p - 676314.\nAnswer: 3*(p + 75146)*(2*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - 4*(sqrt(136) + (sqrt(136) - 2*sqrt(136))) - sqrt(136))\/(sqrt(648)*2) + -1 + -3)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3165, -13106, -29803, -53250, -83441, -120370, -164031?\nAnswer: -214418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3 - 1 = 3*w, 5*j - 36 = 4*w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(2\/13)*l*l*l\/l**7*l)**(-1))**33)**(-1\/16) assuming l is positive.\nAnswer: l**(-1221\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 4) + (-4 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -5*c - 4*n, 3*c + 57 - 221 = 4*n. Calculate the remainder when 1195 is divided by c.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 8 = 3. What is the closest to -1\/2 in p, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71053125 divided by 125\nAnswer: -568425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44335148.\nAnswer: 2, 11, 13, 77509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 3384*v**2 - 71972*v - 444960.\nAnswer: -4*(v - 824)*(v - 27)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 4\/7 (c) -10245\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*b**3 - 208597*b + 104301*b + 104296*b.\nAnswer: 31*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express h + 23*h**4 - 982*h**2 + 982*h**2 - 19*h**4 - 4*h**3 in the form r + v*h**4 + g*h**2 + a*h + j*h**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + k = 5*k - 4, k - 9 = -q. Factor -4*p + 16*p**q - 24*p**3 + 5*p**2 - 4*p**5 + 9*p**2 + 2*p**2.\nAnswer: -4*p*(p - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98*0.971738\nAnswer: -95.230324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 4*k = 11424. Let y = k - 639. List the prime factors of y.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z - 31. Let c be v(13). Solve 3*d - c*d = 10, -4*d = -4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 380 = 3*k, 122 = -3*k + 4*k + 4*p. Let n be (-6444)\/(-62) + 7\/(-217)*-2. Calculate the greatest common factor of n and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.014.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9985 - -1. Round x to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2\/2 - 2304048*x - 884772864384 = 0. Calculate x.\nAnswer: -768016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1465?\nAnswer: 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 232, 516, 1298, 2830, 5364, 9152?\n\"Answer: 42*o**3 - 3*o**2 - o + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -c - 12594, 2*g - 3303 - 1721 = -3*c. Which is smaller: g or 2517?\nAnswer: 2517","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1173768)\/32)\/(-3) - 1\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227886863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -490135 or -490501?\nAnswer: -490135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 18. Let b be (m + -4)*0\/(-6 - -3). Solve -3*h + b = -3*t - 15, -2*t = 2*h - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 120*f**2 - f + 3. Let h(v) = v**3 - 133*v**2 - v + 3. Give -7*c(l) + 6*h(l).\nAnswer: -l**3 + 42*l**2 + l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffgffffg. What is prob of sequence fgg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -120*y - 4305 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h + 15. Let b be n(-14). Calculate the greatest common factor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**7\/210 - l**6\/24 + 13*l**5\/20 - 3*l**2 + 6*l. What is the third derivative of h(p) wrt p?\nAnswer: -24*p - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -159896275\/598 - -267385. Calculate the common denominator of -2\/115 and b.\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/((j*j\/j**(2\/5)*j)\/j)))\/j)**(7\/8)\/(j**(-2\/15)\/j*j**(-7\/2)))**(1\/4) assuming j is positive.\nAnswer: j**(619\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 58 - 4*c + 12*c - 58. Determine d(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6949844393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -100230569, -100230571, -100230573, -100230575, -100230577, -100230579?\n\"Answer: -2*g - 100230567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Let w be (-19 - -34 - 14) + 0 + 1. Let h(u) be the third derivative of -1\/12*u**4 + 0*u + 0 - 1\/6*u**3 - 20*u**w. Calculate 2*h(s) - 5*r(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 124 + -122. Let i(x) = -8*x**2 + 24*x**2 - 14*x**n. Let k(w) = 21*w**2. What is i(k(v))?\nAnswer: 882*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/7 + 68*s**3\/7 - 642*s**2\/7 + 1088*s\/7 - 512\/7.\nAnswer: -2*(s - 16)**2*(s - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5276404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4\/4 + o**3\/4 + 11*o**2\/2 - 4*o - 24 = 0. Calculate o.\nAnswer: -4, -2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 12*q**2 - 10*q + 11. Let i be l(-11). Suppose -3*o + 0*o = c + 1, -o = -5*c + 11. Suppose -c*j + j + 943 = i. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 440 = 5*z. Let x(s) = -s**2 + 12*s - 63. Let y be x(12). Let t = y + z. Is t a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 2. Let v be n(-6). Let h(b) = -56*b - 4 + 45*b - 2 - 2 + b**2. Let l be h(12). Solve -12 - v = -l*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001100100001111 (base 2) in base 10?\nAnswer: 104719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33757560 by 36693.\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + f + 5. Let o be r(0). Suppose 0 = -4*v + 3*l + 14 - 1, -5*v - 2*l + 22 = 0. Which is the second smallest value? (a) 2\/17 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2009 = 89*p - 103*p - 35*p for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 k when three letters picked without replacement from kkkkkkkkkkkkkkkzkk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 37 = 88. Let l = 53 + d. Suppose -2*b + 5*j - 11 = -5*b, j = 4*b - 30. What is the greatest common factor of l and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.4 plus -7.468?\nAnswer: -42.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 69*a - 68*a + 23, -3*q + 5*a = 23 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z + 7. Give f(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 1)\/(-16 + (14 - 28)\/(-1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*k = -1517 - 979. Solve -190*s + 184*s + k = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (201\/9 - (-5 - -9) - 2)*-1 and -12\/151?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 1 = 3*q + 4*l, -2*q - 4 = l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 + 95. Suppose 0*t = 2*i + 5*t - 14, s*t = 10. Let m(l) = 10*l - 13. What is the remainder when 18 is divided by m(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.6 (b) 4\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-12) - 108\/16. Let t(x) = 4*x + 1. Let p be t(l). List the prime factors of 4 - p - (-6 + 3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.42 - -8.458. Let o = -1.438 + r. Which is the closest to o? (a) 5 (b) -0.2 (c) 2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {w: 2, a: 1, o: 4, c: 4, g: 6, b: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*(sqrt(70)*-4 - sqrt(70)))\/(sqrt(490)*4).\nAnswer: -1 - 5*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19566175 divided by 3?\nAnswer: -19566175\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 7514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -16*q**2. Let g(p) = -417*p**2 + 790. What is g(v(m))?\nAnswer: -106752*m**4 + 790","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 52577 (b) 1 (c) 6\/5 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/5 + 5289264*k\/5 - 10578536\/5.\nAnswer: 2*(k - 2)*(k + 2644634)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 21*i - 36. Let t(k) = -10*k + 18. Let z(w) = 4*n(w) + 9*t(w). Let j be z(3). Is (-3 - j) + 515 + 29 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 5:45 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101333304 (base 5) to base 6.\nAnswer: 12542550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10010001 (base 3) to base 2\nAnswer: -100011011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 6 = 31, t = 2*d + 4. Solve 12*q - 26 = -t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w, 0*t - 3*w = -t - 20. Let z be 5\/t + (-45)\/(-4). Let y = -1 + z. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a kilogram in grams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(209) + (sqrt(209) - sqrt(209)*-1)))\/(-2*sqrt(275)) + (sqrt(228) - (sqrt(228) - (sqrt(228) - 5*sqrt(228)*2)))\/(-1*sqrt(432)))**2.\nAnswer: 171\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -661 - -659. Put 0, 27, m, -5 in decreasing order.\nAnswer: 27, 0, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 7*u**2 - 9*u - 5. Suppose -17*h - 32 = -13*h. Let i be l(h). Does 14 divide i\/(3*1\/42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 5*d - 7. Let w be m(-6). Let n be 0 + w + 0 + -17. Let z = -16 - n. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*w + 7*w - 2*w)*(-50 + 33 - 59) as l + f*w and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6448234 to the nearest integer?\nAnswer: 2539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224006, -448084, -672162?\nAnswer: -896240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*2*-1)\/(sqrt(48)\/(sqrt(24)\/sqrt(3))))\/((sqrt(726) + (-2*sqrt(726) - sqrt(726)))*2 - (sqrt(726) + 2*sqrt(726)*-5 + sqrt(726))).\nAnswer: -sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/9)\/(6\/45). Suppose -7*n + 2*n = j. Put 4, n, 1 in descending order.\nAnswer: 4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21146 and 31719.\nAnswer: 63438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, 1, 2, -366.\nAnswer: -366, -117, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = g + 14, -6359 = -2*j + 3*g - 6338 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2110212 (base 4) to base 2\nAnswer: -10010100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 4:12 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1045227 (base 10) to base 13\nAnswer: -2a79a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 9. Let p = 0.36 - -5.74. Let f = p + l. Which is the closest to f? (a) 0.4 (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 - (-3 + 6 - 4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v = -14*v + x + 7, 98*x = v + 119*x - 45 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -361a65 (base 12) to base 7\nAnswer: -10300364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9846*m**5 + m**3 - 100*m**2 + 237*m wrt m?\nAnswer: -590760*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895242 is divided by 16578.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 10:20 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14550*j**2*l**4 + 15628*j**2 - 2*j wrt l?\nAnswer: -58200*j**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, 4, -1, -3, -5, 5 in descending order.\nAnswer: 5, 4, -1, -3, -5, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*i = 6*i - 7*c + 3*c - 858, 2*i - 22 = 3*c for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -571*x**3 - 568*x**3 - 11*x + 1140*x**3 + 4*x**2 + 10*x + 0*x**2. Suppose -5*a = v - 0 + 5, -2*a + 5*v - 29 = 0. Give o(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsssssszsz. Give prob of sequence zss.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y + 2*y)*(3877*y + 4707*y + 909*y + 175*y).\nAnswer: 19336*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1, 14, 3, -3552.\nAnswer: -3552, -1, 0.4, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -554, -1107, -1660?\n\"Answer: -553*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and 767245 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35786 - 35778. Solve 4*i + 2*p + 3*p + r = 0, 4*p = -2*i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**3 - 6*x**2 + 4*x - 22. Let p(r) = -4*r**3 + 5*r**2 - 3*r + 21. Calculate -3*g(y) - 4*p(y).\nAnswer: y**3 - 2*y**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.50632 months in millennia?\nAnswer: 0.00520886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33474911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3832 - -2.6832. Which is the third biggest value? (a) -12\/11 (b) h (c) 4\/3 (d) -3 (e) 2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 2911.\nAnswer: -2\/2911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1797 - 163 = -49*x. Calculate the remainder when 720 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11243 is divided by 163?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yq when two letters picked without replacement from {y: 8, r: 1, s: 4, q: 2}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -1\/6*c**3 - 3*c**2 - 1\/20*c**5 - 1\/2*c**4 + 0 + 4*c. Let f be j(-6). Solve 0*o + 4*o - 16 = f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 40 (b) 2 (c) -2\/5 (d) 6 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/8 of a kilogram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71850.78 millennia to months.\nAnswer: 862209360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 5:38 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 103?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.55 + -0.05. Let r = -0.6 - g. Which is the nearest to 0? (a) r (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = -25*s + 26*s - 41543, 124563 = 3*s - 3*a. What are the prime factors of s?\nAnswer: 41519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a - 5. Let z be p(4). Let t be (3\/5)\/(3 + (-28)\/10). Suppose -z*j + t*d = -3267, d + 2 = -0*d. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 + 1. Let v be n(1). Let f(h) = h. Let q be f(v). Suppose g - 2*g = -q. Solve j = 3*m - 5, 5*m = -g*j - 12 - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1460*q**3 + q**2 + 12538*q - 1.\nAnswer: -8760*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2016 - 0.0907. Let t = -0.106206 + a. What is t rounded to four decimal places?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u + 25. Let d(x) = 3*x + 17. Let m be (13 - 0) + -18 + 12. Calculate m*d(j) - 5*c(j).\nAnswer: j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 10\/(-6))\/(40\/(-3480)). Let j = 61 - p. Solve -t + 6 = 4*f + 13, -6 = j*f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -39, -196, -473, -876, -1411, -2084, -2901, -3868?\n\"Answer: -u**3 - 54*u**2 + 12*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 9*m**2 - 2*m + 7. Is f(-9) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from {u: 2, s: 2, m: 1, x: 3, w: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 71 in increasing order.\nAnswer: -1, 2, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1\/(-24) + (-1016)\/1088 + 1.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 f when four letters picked without replacement from {f: 7, n: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/6 + 125002*r**3\/3 + 2604458329*r**2 + 78124374970*r\/3 + 390606250225\/6.\nAnswer: (r + 5)**2*(r + 124997)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-798)\/2793 + 8\/266*6?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.46 (b) -0.1 (c) -5 (d) -7 (e) -12\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 42 = -8*w. Let t = 13 - w. What is the greatest common factor of 77 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15170048?\nAnswer: 2, 29629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 25*d - 24. Let q be y(24). Solve 4*l = -4*m + 32, q*l + l = -5*m + 28 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*q - 34 = -236 - 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/48 - 44\/(-6). Let r(l) = -h - 10 - 17 + l + 28. Let y = 16 - 12. Calculate r(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 34*m - 33*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2062 + 2067. Solve -4*l = -19*f + 21*f + 6, c*l = f + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 - 50. Let u = -55 + q. Let s be 6\/(-24) - 66\/(-8). What is the closest to 1 in 0, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8164 - 6763. What is the remainder when v is divided by 174?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52376261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 40.824. Let q = x + -7.314. What is q rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 350 = 152. Suppose h - 40 = 5*c, -h + 0*h + q = 4*c. What is the remainder when 81 is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-15)*((-140823)\/3 - -1). Let q(x) = 3 - 18776*x**2 - x**3 + f*x**2. Determine q(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5346421.\nAnswer: 103, 51907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 28 = -4*c, 3*c = -4*s + 22 + 10. Let g = s + 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 14 = 4*q + q, -8 = -2*g + q. Suppose 3*m = -g*m - 85. Let d be 1\/1*(m + 14). Put 1, 4, d in increasing order.\nAnswer: d, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4489 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*z - 83 = -3*h, 5*h = 4*z + 73. Solve -2*y = -8, -v = 3*y + 7 - h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27 + 32 - 165*x + 141*x - 360*x**2 wrt x.\nAnswer: -720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220572930 + 172.\nAnswer: 220573102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 13*j - 52. Let b be q(4). Sort b, 1, -0.3, -2\/3 in decreasing order.\nAnswer: 1, b, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90887\/23 - -3951. Let x = -135\/184 - n. Let z = 2 + -1.9. What is the third biggest value in x, -3\/5, z?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 2. Let q be (-6)\/30 - 23\/15. Let f = q - -4\/3. What is the closest to r in f, -4\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334349 is divided by 942.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.68747 + 13.7. What is k rounded to 4 decimal places?\nAnswer: 0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 1166 = -1131 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 528 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 325.901 - 326. Let x = -3.299 - h. Which is the closest to 1\/2? (a) 0.3 (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from xbxxxxxxxxxxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxii. Give prob of sequence xxi.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 587882053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*m**4 + 30044*m**3\/3 + 48662*m**2\/9 - 1456*m + 46 = 0. Calculate m.\nAnswer: -69, -3\/4, 1\/27, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97 + 97 - 34*z to the form l + j*z and give j.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 8:05 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00573691351 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*p = 283 + 267 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26285 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2457 divided by 25909.\nAnswer: 189\/1993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 560 = 8*m - 26*m for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3121, 3114, 3105, 3094, 3081, 3066?\n\"Answer: -o**2 - 4*o + 3126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 9*m**2 + 9*m + 3. Let n be b(9). Suppose -2*o - 4*o = -n. What is the remainder when 38 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -4*v + 4*k, -3*v + 0*v + 52 = -5*k. Suppose -3 = j - 3*u + 11, u - 3 = 2*j. Calculate the least common multiple of 1 + j - 31*-1 and v.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*c**5 + 190*c**4 + 148*c**3 - 88*c**2 - 48*c = 0. Calculate c.\nAnswer: -2, -2\/5, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -7*o + 3. Let k = 0 + o. Let q(b) = -3*b**3 - b**2. Determine q(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*d + 1680*d - 1 + 2946*d + 0.\nAnswer: 4348*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98\/392*(-2 + -2)*(-1 - 34041)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 7860, -4, 3, 0, -5 in decreasing order.\nAnswer: 7860, 9, 3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.4 - -14.4. Let c = 19 - n. Put -4, c, 0 in increasing order.\nAnswer: -4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 100254?\nAnswer: 100252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -2*f - 2*f. Let b(g) = 7*g + 183. Let r be b(9). Suppose -3*j + r = -54. What is the remainder when j is divided by f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = 11*q - 35 + 137 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + t**2 + 23*t**3 - 45*t**3 + 18*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19650332 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6396 - 1.5844. What is q rounded to two dps?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*i + 1055, -v = -i + 3*v + 329. Let a = i - 205. Let g = 23 + a. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-85))\/(2\/10*9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - ((-57)\/(-33) + -2) - -4. Is f < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5 + 1077*t**4 + 254376*t**3 - 18999900*t**2 + 411220800*t - 2807136000 = 0. What is t?\nAnswer: -570, 15, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 463773, 927557, 1391351, 1855155?\n\"Answer: 5*h**2 + 463769*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 1335, 15 in decreasing order.\nAnswer: 1335, 15, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2263217.\nAnswer: 11, 31, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, q: 5}. What is prob of sequence tqq?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 704 divided by -4\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 34 - 71 = -7*d, 8*d + 6 = -4*s - 130 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 5 - (-14 - -6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + -5 + sqrt(475)*1)**2.\nAnswer: -100*sqrt(19) + 1925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 7 + 5. Let y = 18 + w. Suppose -c - 45 = -2*r, r - y*r + c + 105 = 0. Calculate the highest common divisor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1668*s - 1177608. Give r(-706).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from {a: 1, b: 2, p: 1, c: 1, o: 1, n: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 556 - 551. Solve 4*n + r = l, 7*l - 2*l = -2*n + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -420334839 + 420334708.38342868. Let h = r + 266.6165699. Let q = -136 + h. Round q to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 5916135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*v - 6946 = -8314 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22481 - 22467. Which is smaller: a or 137?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548 + 837 = 5*y. List the prime factors of y.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-1 + sqrt(171) + -5))**2 - (4*(sqrt(931)*-2 - sqrt(931)) - sqrt(931))**2*-1) + 5.\nAnswer: -324*sqrt(19) + 159207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 99 = -v + 2*f, 3*v + 2*f + 111 = 0. What are the prime factors of 8\/10 + (-1792)\/v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38760 and 9310.\nAnswer: 1899240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -23863806 divided by -9?\nAnswer: 2651534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b**2 - 4*b - 3. Let x(a) = -7*a**2 + 3*a + 2. Let f(r) = -6*w(r) - 7*x(r). Let l be (-3)\/((-5)\/(10\/3)). Let g be -2*(-1)\/l*-4. Calculate f(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, q: 4, s: 1}. What is prob of sequence us?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30707 - 68590. Let w = y - -18653. Round w to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -355\/287607?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 222 - 87*v - 148.\nAnswer: -87*v","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3698?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-255)\/10)\/((-6)\/8) is divided by (-3 - -2)\/(1\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -71? (a) -2\/15 (b) 8 (c) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -360 - 745*i**2 + 4*i**3 + 324*i + 1441*i**2 - 776*i**2 = 0.\nAnswer: 2, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33120 (base 4) in base 3?\nAnswer: -1100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 2. Let f = -3 + w. Let l(y) = y**f - y**2 - 4*y**2. Let k(x) = -2*x. Give k(l(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(2\/3)*j**(5\/3))**42\/((j**(2\/7)\/(j*j**(3\/2)))\/j**42) assuming j is positive.\nAnswer: j**(2383\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve -719*t - 57 + 2699 + 6705 = 0 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 2*t**2 - t + 2. Let h be x(-2). What are the prime factors of ((-5 + h)*-33)\/1?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirty-four fifths of a second?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -5*c + 2*m, c = 2*m + 7 + 19. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142.224768 milliseconds to weeks.\nAnswer: 0.00000023516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/((-4108)\/(-546))*(2\/9)\/((-16)\/12)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 2*j - 11. Let m be d(5). Suppose -2*o - 5*a = -19, 3*a - 12 = 3*o - m*o. Which is bigger: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4166, 4189, 4228, 4283, 4354?\n\"Answer: 8*s**2 - s + 4159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/8*b**2 + 0 - 1\/8*b**3 + 1\/4*b = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -15*v**2. Let t(z) be the second derivative of 7*z**4\/4 + 146*z + 3. Calculate i(t(p)).\nAnswer: -6615*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -282466 equal to -282468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*y - 4014 = -222*y - 41*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2593 - 22.8307. Let g = n + 23. Which is smaller: 0.1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1315222636 + -1315222880.0000602. Let m = -244 - t. What is m rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 133 - 132.999859. What is v rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.38 in -7, -8, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.18 (c) 1\/14 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13695 (b) 4\/39 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 8*r**3 + 29*r**2 - 4*r + 9. Let a(k) = 2*k**3 + 7*k**2 - k + 2. What is 9*a(u) - 2*y(u)?\nAnswer: 2*u**3 + 5*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**3 + 338*f**2 + 167*f + 259. Let t be k(85). Solve 0 = -5*b - t*l + 35, -30 = -16*b + 11*b - 3*l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38942895 divided by 7405.\nAnswer: -5259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4593442*z**4 - 2653057?\nAnswer: 18373768*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-16)*((-160)\/35)\/(-4). Suppose 0 = 3*o - 2*o, 0 = 4*g - 5*o - 20. What is the nearest to w in 8, g, -4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**6))\/k)\/(k**(-3\/7)\/k*k)*k\/k**(2\/3)*k**(-8)\/k*k\/k**(-3\/5)*k*k\/k**(-7)*k**8*k*k**(-1\/17) assuming k is positive.\nAnswer: k**(7681\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -59 - (-4 - (-5 - -4)). Find the common denominator of (3\/((-360)\/p))\/(2\/85) and -35\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 7*d)*(-6*d - 122 + 3*d + 121).\nAnswer: -21*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69\/541 + -393289\/3079372. Let r = -177881\/34152 - q. Calculate the common denominator of r and 119\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 869589 and 21.\nAnswer: 18261369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbzbzbbabkz. What is prob of sequence azbb?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 r, and 1 m when four letters picked without replacement from hbhrrhm?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4463 + -4463. Solve 5*f = -4*c + 26, -c + l*f - 4*f + 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 5*t - 145, 2*u + 5*t - 58 = 6*t. Let j = u - 38. Let c(r) = -r**2 - 14*r - 11. List the prime factors of c(j).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 3*j. Let y be r(3). Let l = y + 14. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21615051*v**2 + 25718811*v?\nAnswer: 43230102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-4)\/k*k**(-9))\/(k**2)**(-2\/35) assuming k is positive.\nAnswer: k**(-451\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b - 1. Let f(v) = 4*v**2 - 3*v - 7. Let k(s) = -2*f(s) + 14*l(s). Find the second derivative of k(x) wrt x.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -373*a**2*i**3 - 212*a**2*i**2 - 2*a**2 - a*i**2 - 13*i**3 + 1 wrt i.\nAnswer: -2238*a**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 17 + (-7 - (-30 - (-10 + 12)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18 + -17)*6\/(-2). Let u be 4\/t*6\/(-4). Solve 0 = -g - 6*v + u*v - 1, 5*g - 20 = 5*v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -401903?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.99898 + 9. Round l to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -78*(3\/6 + 0). Let w be (0 + -1 - -1) + 56. Let s = a + w. Calculate the highest common divisor of 51 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/7*(-5 - 930\/(-165))*(-220)\/(-40)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31534 + -315341\/10. What is the closest to -0.2 in 5, n, 0, 22?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354 + 2*z**2 + 2*z**2 + 101 - 3*z**2.\nAnswer: z**2 - 253","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1853257 - 1853257 + 60*l.\nAnswer: 60*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 52163161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * -188.1525.\nAnswer: 3198.5925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 4 + p + 18.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 + n**2 + n + 4. Let m be y(0). Suppose -4172 = -m*g + 4*u, -4*u - 2 - 18 = 0. What is the units digit of (4\/(-8)*-1)\/(3\/g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72027 and 2265.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 - 129*a + 1389. Let d be z(21). Solve -3*y + 5*o = -20, -d*y + 4*o = -4*y + 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4 - 0. Calculate the lowest common multiple of 2 and -1 - (-22 - (-5 - i)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1 + 5 - 5. Let o(u) = 7*u + 1. Let k(z) = f(z) + o(z). Let j(n) = -2*n. Determine k(j(i)).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/(-651)*63*(-1)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.13981 grams?\nAnswer: 8139.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from {i: 5, a: 1, j: 1, u: 2, q: 7, s: 1}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 6:58 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -663, -679, -705, -741, -787, -843?\n\"Answer: -5*g**2 - g - 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 - d + 1. Let o(k) = -15*k**2 + 3*k + 4. Determine -2*o(t) + 14*v(t).\nAnswer: 2*t**2 - 20*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17493*o**2 - 35038*o**2 + 17543*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3633 - -3633.3. Which is the closest to 0? (a) 0 (b) -2\/47 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 s when four letters picked without replacement from {p: 1, z: 3, l: 5, s: 5, e: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20350 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) 1\/9 (c) 59 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 37, 0.3, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**6\/1020 + f**5\/510 - f**4\/102 + 33*f**2. Find r, given that t(r) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1819281182?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 149 and 56.6.\nAnswer: 8433.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (0 - (-5 + (4 - -3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from eleeeleeeleele.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 3 = -10*h. Suppose h*r = -7*r - 3*r. Is 5 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137 + -134. Suppose 4*t = w*m + 14 - 54, -2*t = -2*m + 30. Solve 2*k + d + m = 7*k, k - 28 = 5*d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(12))\/sqrt(4) + ((sqrt(243) - (sqrt(243) + -1)) + sqrt(243))**2.\nAnswer: 21*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -406*o**2 - 1032*o + 687. What is the first derivative of m(w) wrt w?\nAnswer: -812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35*164\/6314*-33?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 57, 2, -100?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3812\/(-20)*-17*-5. Let d = y + 45814. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 16 = -4*b, b - 21 = -3*x - 2*x. Suppose -2*v = -x*q + 3*v + 12, 2*q - 8 = 3*v. Sort q, 3, -0.4.\nAnswer: q, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 3a1dc?\nAnswer: -3a1d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22159 = 36*y + 23011 - 41822 for y.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3 - 23. Let r = l - 19. Is (-1)\/3 + (-336)\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*p + 1050 - 280 = -p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -890, -6718, -22460, -53072, -103510?\n\"Answer: -826*b**3 - b**2 - 43*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*d + 6*d + 5*u, -5*u = -2*d + 28. Suppose d = 3*z - z. Solve 4 = 4*j - 5*i, -2*j + 4 - z = 2*i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*w + 4, 3*r - 4*w + 36 = -3*w. Let m = -10 - r. Suppose -m*b = -8*b - 33500000. Round b to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128, 2\/7, 225\/643 in descending order.\nAnswer: 225\/643, 2\/7, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-36)*1\/(((-1064)\/57)\/56).\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*z**2 + 20*z - 20*z)*(14 - 3*z - 14) + (z**2 - 5*z**2 + 2*z**2)*(4 - z - 4).\nAnswer: -109*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2544150\/13 + 195566. Let v = -138 - m. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161 bigger than 1159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r - 6. Let l be o(5). Suppose 5*w - 75 = -2*z + z, l*w = -3*z + 60. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 5)*(-1 + 1 + 2)*(4 - 3 + 0)*(-2*k**3 + 0 + 0 + (5 - 5 + k)*(3*k**2 - 3*k**2 + k**2)) to f + j*k**2 + u*k**3 + a*k and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*o**2 - 4*o**2 - 6*o**2 + o**4 - 4*o + 3*o as s*o + c*o**4 + l + t*o**3 + r*o**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4110274 = 13*y + 124*y. List the prime factors of y.\nAnswer: 2, 7, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -23*p + 10. Solve -3*s + 2*w = 5*w - 3, s - w = -p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 110513.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 14) in base 2?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-101 + 97)*(25\/4 - 1). Let q be (46620070\/d)\/10 - 1\/(-3). What is q rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4123822 is divided by 105738?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2781*u - 1390*u - 1387*u - 4*u**2.\nAnswer: -4*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30493712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1.34, 5, -29?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -59\/7?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*p**3 + 32*p**3 + 492*p**3.\nAnswer: 62*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(171))**2*1.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0031305459 to six dps.\nAnswer: 0.003131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30790 divided by -4.\nAnswer: 15395\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g = 6*g + 140. Suppose 5*k - g*a = 110, -4*k = k - 2*a - 110. Calculate the greatest common divisor of 121 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(2\/(-3 + 1)). Let n = s - 0. Let w be (-3)\/7 - (-4)\/((-224)\/(-24)). Solve 4*q = b - 6, n*q = -4*b - w + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -289, -116 in descending order.\nAnswer: 5, -116, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 7:42 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -255, -255, -261, -273, -291?\n\"Answer: -3*o**2 + 9*o - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**6\/540 + s**5\/9 - 19*s**4\/36 - 5*s**3\/3 - 56*s. Let m(k) be the second derivative of l(k). Find f such that m(f) = 0.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81 - 179*i + 81 - 372*i to q*i + h and give q.\nAnswer: -551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 149 - 318. Let g = o - -174. What is the fourth biggest value in 0, g, 3, 4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 5*u - 5 - 4, -u = -1. Let z be (12\/(-21))\/((-2)\/7). Suppose -103 = -0*a - z*a + k, -r*a + 209 = -k. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*m**2 + m**3 - 41*m**4 - 5*m**3 + 19*m**4 + 23*m**4 - 2*m to the form g + t*m**3 + l*m + u*m**2 + d*m**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-14))\/(1\/(-2))*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -6 + 0 + 12. Let w be (42\/a)\/((-1)\/(-3)). Suppose 0 = 2*h + 4*o - w, 3*o + 12 = -0*o. Calculate the remainder when 27 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18133, -18131, -18129, -18127, -18125, -18123?\n\"Answer: 2*x - 18135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*t + 6*t + 0*t + (0*t + 2*t - t)*(-2 + 1 + 3 + 1 + 0 + 1 + (-1 - 4 + 3)*(3 - 5 + 1)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -700*q - 3735. Let n be h(-7). What is the greatest common divisor of n and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 745 = -4*l, l + 3*s = 2*l - 199. Let z be (l*10)\/(1\/500). What is z rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (2 + -3) - 2. What is the units digit of 45\/(-10)*v\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00159386 rounded to six dps?\nAnswer: -0.001594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = 5*u + 149. Let d = u - -107. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3169, -3827, -4957, -6553, -8609, -11119, -14077, -17477?\n\"Answer: v**3 - 242*v**2 + 61*v - 2989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33357959 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 8 + 1 + 3 + 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 4*o - 3 + 7, -10*o + 5*h - 40 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2182 is divided by 1057.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 3. Let s(m) = -6*m**2 - 7*m + 2. Let z(r) = 3*r**2 + 4*r - 1. Let v(f) = o*z(f) - 4*s(f). Find the first derivative of v(y) wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6174366 is divided by 278.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1409 + -414. Let r = 1740 - s. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -371.5 times 0.2\nAnswer: -74.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80565?\nAnswer: 3, 5, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129 + -1.3.\nAnswer: -130.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 5*n - 4. Let o(d) = d**3 + 6*d**2 - 6*d + 10. Let z be o(-7). Let k be u(z). Let q = 3 + 2. Solve -12 = -q*w + k*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 517*p + p**2 - 517*p to the form s*p + q + v*p**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 78 + 42 = 0. Suppose -m = d + 5*j, 3*d + d + 2*j = 6. Put 1, d, -3 in increasing order.\nAnswer: -3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 577, 18.\nAnswer: 4, 18, 577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.55303t to grams.\nAnswer: 553030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*b - 3*b = -1115, -k + 279 = b. Let q be (k\/21)\/(4\/6). Suppose -5*x + 4*x + q = 0. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 3*r - 30 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**4 + 0*m + 0 - 18\/7*m**5 + 0*m**2 + 32\/7*m**3 = 0.\nAnswer: -16\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 420 and 14070.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -3.8, 4, 2\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 9*k**2 + k. Let r(s) = -220 + 0*s - 4*s**2 - 6*s**2 + 220 - s. Give 5*r(w) + 6*v(w).\nAnswer: 4*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**4 + 0*v**2 + 7*v + 2*v**2 - v**4. Let y(b) = -5*b**4 + 3*b**2 + 8*b. Let m(d) = 3*r(d) - 2*y(d). Find the second derivative of m(g) wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000945159 to five decimal places.\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -16.9. Let z be 3 + 0 + (-98)\/34. Which is the closest to q? (a) 4\/7 (b) -1\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1571887308 to the nearest integer?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p**3 - p**2 + p + 1. Suppose d - 1 + 2 = 0. Let q be i(d). Let n be ((-1)\/(-6)*2)\/((-21)\/(-126)). Which is bigger: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 - -137. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873 is divided by 39?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 18 in descending order.\nAnswer: 18, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (34 - 29) - -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1494, 2990, 4486, 5982, 7478?\nAnswer: 8974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.655589504 to 5 decimal places.\nAnswer: 0.65559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 181920 and 576?\nAnswer: 1091520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1015, 924, 743, 448, 15, -580, -1361?\nAnswer: -2352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(539) + (-6*(sqrt(539) + (1*sqrt(539) - sqrt(539))))**2) + -4)*-3 + 2.\nAnswer: -291046 - 105*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51753.703 rounded to the nearest one hundred?\nAnswer: 51800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 13*x**2 + 6*x + 3. Let f(l) = 27*l**2 + 13*l + 7. Give -9*c(r) + 4*f(r).\nAnswer: -9*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4381\/448 or 11?\nAnswer: 4381\/448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8054, -17, -5 in ascending order.\nAnswer: -8054, -17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, m: 1, r: 3}. Give prob of picking 2 r and 1 c.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -75. Let v = -166 + 271. Let h = v - l. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 920470449?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 36. Suppose -153 = -r*k + 9. Suppose -g + 2 + 7 = 0. Calculate the highest common divisor of g and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and 271.\nAnswer: -4065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 414819 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-28)*(-24)\/(-32)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*d = 760 + 1606 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1396924*u**4 - 2825816*u**4 + 1411382*u**4 + (-2*u + 0*u + 4*u)*(5*u**3 - 2*u**3 - 2*u**3).\nAnswer: -17508*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.1 (c) 5 (d) -0.049\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 13*s**3 - 9*s**2 + 105*s - 921. What is the tens digit of u(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 27*a**2 + 2 + 0*a + 6*a**2 + 3*a**2 - 12*a**2 + 3*a**3 to b*a + f*a**3 + x*a**2 + z and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65*81\/(-1404))\/((-13)\/(-8)).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 1, n: 1, c: 1, m: 1}. Give prob of sequence mf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -26*y**3 + y**2 + 2*y + 2. Let l be h(-1). Which is smaller: l or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4579*c + 4581*c - 9154*c + 0 - 1 + 1.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.3? (a) -3\/14 (b) 2\/5 (c) 10 (d) -0.3 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 1 - 3)*(3*h - h**3 - 3*h + (3*h**3 - 5*h**3 + 0*h**3)*(-4 - 4 + 6)) to x + t*h**2 + r*h**3 + i*h and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1563322520.\nAnswer: 2, 5, 37, 419, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**4 + 300*j**3 + 10956*j**2 + 172800*j + 995328 = 0. Calculate j.\nAnswer: -32, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 14. Let l = 57 + -63. Let s be m(l). Let x = s - 15. Solve -4*c - 1 = -x*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, g: 2, m: 2, t: 1, v: 2, p: 1}. Give prob of picking 2 m and 1 v.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 136. Calculate the remainder when t is divided by ((-22)\/(-26) - (-10)\/65) + 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 3 (b) 0.32 (c) -0.3 (d) -1\/4 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/30*5*18\/(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**2)\/(y*y**(4\/3)))**(1\/46)*((y**(-2\/7))**(-1\/19))**(7\/4) assuming y is positive.\nAnswer: y**(107\/2622)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 4. Let i be h(8). Let t(r) = -r**2 + 2. Let n be t(-3). Let s = n - i. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149 - -153. Suppose -x*k + 455 = 179. Calculate the greatest common factor of 23 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -2) + 3 - 0. Let i be (4\/(-6))\/((-4)\/t) - 187. Let o = -107 - i. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 104 = 3*c + 2*h, -110 = -4*c - h. What is the remainder when 674 is divided by c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -37. Let h = -3.3 - -0.3. Let k = -3 - -2.9. What is the nearest to h in 5, x, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1750100 rounded to the nearest ten thousand?\nAnswer: -1750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abt when three letters picked without replacement from {j: 5, t: 1, b: 5, a: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(187))\/sqrt(11) - ((3*sqrt(17)*2)**2 + sqrt(17))) + (sqrt(153)*5)\/sqrt(9) + (sqrt(17) - (-5 + sqrt(17))**2*5).\nAnswer: -822 + 57*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/453777 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 39, -3\/4, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 9*u - 88 = 0. Suppose -2*k = -k - u. Suppose 2*c = 22 + k. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/7635 (b) -0.2 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 424, 907, 1418, 1957, 2524, 3119, 3742?\n\"Answer: 14*o**2 + 441*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**3 - 5*k**2 + 7*k - 1. Suppose -3*f + p = -18, -5*f + 0*p = -2*p - 30. Is h(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143 divided by -6\nAnswer: -143\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 60*x**2 + 306*x - 104. Calculate h(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -194369387576.7?\nAnswer: 194369387579.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3519, -6424, -8119, -8004, -5479, 56, 9201?\n\"Answer: 100*t**3 + 5*t**2 - 3620*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3569 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*g = 52*g - 3*h + 21, 2*g + h + 8 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 109 = 101. Let j = t + -17. Suppose 138 = -2*l + j*l. What are the prime factors of l?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 251 and 4016?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/644 and -43\/324080?\nAnswer: 52176880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*v**2\/2 + 27*v\/2 + 1.\nAnswer: -(3*v - 2)*(15*v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 10:53 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -1\/5, -1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - (-5 - 2) - -448. Let d = 473 - v. What is the remainder when 65 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82762580835266 - -82762641184838.999941. Let m = l + -60349482. Let r = 91 - m. What is r rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 542 and 435497?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.015 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 135 = -8*n. Suppose 0 = 13*v - 12*v - n. What is the greatest common factor of v and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (44 + (-29 - -10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.8 - 11.2. Let n = i - -10. Let t = 16 - 10. What is the biggest value in n, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 28*a**2\/3 + 137*a\/3 + 26.\nAnswer: -(a - 13)*(a + 3)*(3*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55956 + 55956.00097076. What is w rounded to 5 dps?\nAnswer: 0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 328 and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -4, 0, 88?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*o**4 + 4*o**3 - 300*o + 43124 wrt o?\nAnswer: -28*o**3 + 12*o**2 - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**4\/16 - 11*o**3\/6 + 59*o**2\/8 - 19*o\/2 + 527. Factor z(u).\nAnswer: (u - 19)*(u - 2)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 352\/58 - (-70)\/(-1015). Suppose 1050 = p + 3*h, -3*p + 3*h = -j*p + 3126. What are the prime factors of p?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*6\/(-27) - -2. Which is the closest to -0.2? (a) -2\/5 (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - o + 968. Let q be o\/8 + 1\/(-4). Calculate the greatest common divisor of 20 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97a0 (base 14) to base 15.\nAnswer: 7b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d - 8. Let a be b(-3). Suppose 4*g - 24 = -a*n, 5*n + 2*g - 27 + 6 = 0. Suppose 0 = k - 3*x + 2, -5*k = x - 25 + n. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284520754 to the power of 1\/3, to the nearest integer?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 3) to base 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -23. Suppose -6 + 0 = -5*g + 4*s, w*g - 6 = -2*s. Solve 3*z = -4*h + 3 + 5, 0 = 3*h - g*z - 23 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100111110010 (base 2) to base 11\nAnswer: 4a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + j**3 - j**2 + (-238*j + 274 - 274)*(1 - j**2 - 1))*(-j + 0 + 0).\nAnswer: -239*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.981968 millilitres to litres.\nAnswer: 0.005981968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -749, -923, -1097?\n\"Answer: -174*i - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*z**3 - 2*h**2*z**2 + 172*h**2*z - 2*h**2 - 95*z**4 - 2*z wrt z?\nAnswer: 12*h**2*z - 4*h**2 - 1140*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a week in hours?\nAnswer: 441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 522 and 174?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2695 and 89915.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (5\/2)\/(270\/(-1188))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*p - u = 74*p - 13, -p + u - 4 = 0. Suppose 5*k = -2*n - 11, 2*k = 2*n + 2*n - 38. Calculate the remainder when n is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 2*g - 7. Let d be m(-6). Let s = -45 + d. Let l = s + -23. Solve -2*k - 1 + l = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849.0669ml in litres?\nAnswer: 0.8490669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.62 rounded to zero decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1664 and 23588?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**3*i**3 + 1049257*d**3*i + 3*d**3 - 1667*d**2*i**2 + 424*d**2*i - 9*d*i**3 wrt d.\nAnswer: 12*i**3 + 6295542*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1172 + -630. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 11*n + n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m = -6. Let q be (1 - m - 0)*-4. Solve 0 = k - 5*p - 2, -q = -4*k - 3*p + 8*p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + 44. Let w be 238\/i - (-4)\/18. Solve 5*q - 5*c = 20, 3*q - w*c + 20 = -9*c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 90\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + q + 5, 0*w + 2*w = 5*q - 19. Let s be w\/(-4)*2\/1. Put s, 2, -1 in descending order.\nAnswer: 2, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-1)*4\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-40))\/(-2*(3 - 2)). Suppose 11*k - 27 - 17 = m. Solve k*o - 5*o - 5*p = 28, -2*o - 5*p = 31 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbwbbtwbww. What is prob of sequence wbtw?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52231081.\nAnswer: 7, 1319, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-60) + 1\/(45\/24)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a + 438 = -l, -2*l = 2*a - 180. Find s, given that 362*s**2 + a*s + 12 + 86*s**4 - 4 + 516*s**4 + 688*s**3 + 196*s**5 = 0.\nAnswer: -1, -1\/2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.57 + -0.87. Which is the second smallest value? (a) 1\/5 (b) -0.4 (c) -1 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10878499?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*t - 553 - 58 = 0 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/67 and -6\/5?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320018 (base 11) to base 10.\nAnswer: 512454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*h**3 + 59*h**3 - 19*h**3.\nAnswer: 117*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*j + 88 = 472*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425916411.\nAnswer: 3, 141972137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.071 (b) -18\/7 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 419 + -404. Suppose 0 = -6*l + 2*l + 48. Suppose l*k = j*k. Solve -i - 2 = -k*m + 3*m, -4*m + 5*i - 28 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 5*n**2 - 1. Let a be s(-5). Let b(u) = -6*u**3 - u**2 - u - 1. Calculate the remainder when b(a) is divided by (-2)\/(-8) - (-21)\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -6406, 5, -4\/9, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*3 - (sqrt(11)*4)**2*1.\nAnswer: -176 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/5*i**5 - 2\/5*i - 16 + 4\/5*i**3 - 16*i**4 + 32*i**2 = 0. What is i?\nAnswer: -40, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -235 + 236.11. Let m = 1.067 - -0.033. Let i = t - m. Put -0.4, i, 1 in decreasing order.\nAnswer: 1, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -411 divided by -230?\nAnswer: 411\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 4*q + 6. Let p(h) = 8*h - 6. Let l be p(0). Calculate s(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000492149 to 7 decimal places.\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1.15525, 1\/4, 0.06, 0.3 in decreasing order.\nAnswer: 1\/2, 0.3, 1\/4, 0.06, -1.15525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yeyapgy. What is prob of sequence yga?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75574 is divided by 66.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.118 in -2, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 127 - 1419 = -6*b, -b = -3*p - 208. What is the remainder when b is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 606, 0.\nAnswer: 0, 1\/5, 606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24130282181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d = 4. Let j be 35\/105*1\/(d\/15). What is the biggest value in j, 0.5, 0.02?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7729*v - 3*v**3 - 2*v**3 + 3*v**3 - 9*v**2 - 7721*v as k*v**2 + z + f*v**3 + i*v and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*z = 48*z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 421189 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 579734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 3, 1, -5, -3, 2\/19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a + 7866 + 8*a - 10*a.\nAnswer: -12*a + 7866","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 130, 128, 126, 124, 122, 120?\n\"Answer: -2*v + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnh when three letters picked without replacement from hhtnhhhhhhhthhphh?\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*y**3\/5 - 22*y**2\/5 + 4*y - 6\/5 = 0. Calculate y.\nAnswer: 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 27. Let t be 1*1\/2*0. Suppose 0 = 3*k + k - 16. Solve -3*o + k*o + r = t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3*(-12)\/(-14). Let z = -6235 + 6240. Which is the nearest to 2\/5? (a) z (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*(-3*sqrt(77) + sqrt(77))\/sqrt(11))*-2 - (5 + ((sqrt(847) + 2)**2 - sqrt(252)\/sqrt(9))).\nAnswer: -864 - 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = j - 5*z - 19, 5*j + 8 = -z. Let u = j - -5. What is the least common multiple of (-144)\/(-10) + u\/(-10) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56995 take away -2.4?\nAnswer: -56992.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 12*x - 5. Let b be y(-10). Let o be 2\/(-9) + (-203)\/(-63). Solve -1 = 4*v + o*z + 11, 0 = 5*v + 4*z + b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369 a factor of 1836597603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1090 divided by 218?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1241 - 6317 = 87*u - 900 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c9348 + -76?\nAnswer: 4c92a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 14 (b) -6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*(sqrt(847) + (sqrt(847) + 0 + sqrt(847) + sqrt(847))**2) + sqrt(847) - sqrt(847)).\nAnswer: 44*sqrt(7) + 30492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10, 6, 0, -8, -18?\n\"Answer: -p**2 - p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b - b + 4*b + (-3*b - b + 5*b)*(1 + 2 - 2).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 32 = -3*t. What is the greatest common factor of 80 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 617*i**3*q - 466*i*q**3 - 3277*q**3 + 11*q**2 with respect to i.\nAnswer: 1851*i**2*q - 466*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.512 - 0.088. Let o = -22.6 - n. Which is the third smallest value? (a) o (b) -1\/10 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 38 = 6*i, -i = -3*f + 83 - 95 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2845688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21116914 to the power of 1\/2, to the nearest integer?\nAnswer: 4595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*g + 3501*g - 55386 = 0 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v - v - 4 - 262*v**2 - 14*v + 4.\nAnswer: -262*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -240 + 1108. Let y be (42\/(-4))\/((-21)\/d). Suppose 0 = -m - m + y. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11791524 divided by -4.\nAnswer: -2947881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1050*z + 1139*z = 6 + 83 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**1\/s**(2\/7)*(s*s*s*s\/(s\/(s\/(s**(1\/3)\/s))))\/s**(-1)*s**(2\/3)*s*s**(-3\/5)*s**0\/s**(4\/3) assuming s is positive.\nAnswer: s**(214\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 18, 1 in increasing order.\nAnswer: 1, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(4\/17)\/(l**0\/l**(2\/7))*(l**(2\/17)\/l**(-1\/2))\/((l\/l**0)\/l)**0 assuming l is positive.\nAnswer: l**(215\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -117\nAnswer: -7.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -12*y**2 - 9. Let v(u) = -25*u**2 - 16. Determine 11*t(r) - 6*v(r).\nAnswer: 18*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 1)*-1 + (-2021)\/(-2193). Is 1 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 5) to base 14.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z + 22. Let l be q(9). Suppose l*n = -11*a + 7*a + 30344, -2*a + 3*n = -15192. Round a to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11934406 is divided by 2386878?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7480 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 300446 to the power of 1\/2, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**5\/60 - 5*v**4\/24 + 4*v**3\/3 + v**2. Let t(q) = 5*q - 57. Let f be t(10). Determine d(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14629417 a multiple of 473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*n**3*r**2 - 181*n**3*r + 11841*n**2*r**4 - 108*r wrt r?\nAnswer: 62*n**3 + 142092*n**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12842258.\nAnswer: 2, 11, 13, 83, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - o + 123 = 0, 5*d = -o + 10 + 143. Suppose 5*v = -a + d, 5*v + 3 - 48 = -4*a. Suppose -76 = r - v*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*g*x**2 + 5*g*x*y + g*y - 34*x**3*y + 52032*x**3 + x*y wrt y.\nAnswer: 5*g*x + g - 34*x**3 + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3122 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.83 + -0.83. Let b = -0.1 - -0.9. Let h = b - u. Sort -1, 4\/7, h.\nAnswer: -1, h, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/1875 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 5*a = 0, -a - 221 = -4*t - 212 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.5 - 6. Let n = 3 + j. Let c = -150 - -2848\/19. What is the biggest value in -2\/11, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -9, 131.\nAnswer: -15, -9, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 14 and 1\/147 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -1333*z**5\/5 + 4926*z + 6389. What is the first derivative of m(b) wrt b?\nAnswer: -5332*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 9:41 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 34*z - 130. Determine v(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (3 - ((-3 - -9) + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -4\/5, -2\/51, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1228194 + -226\nAnswer: -1228420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 90379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/17204 and -13\/10336.\nAnswer: 2615008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lee when three letters picked without replacement from elaeeeavvvalllvall?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 + 26*f**2 - 18*f - 27. Give k(12).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vhvvhhvvvhhvh.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 1 + 2. Let q(k) = -f*k**2 + 0*k**2 + 3*k**2 + 2*k**2. Let d(n) = 4*n. What is q(d(s))?\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 756153059\/18 - 42024558. Let j = i - -16061. What is the common denominator of 83\/12 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 91 - (-2*(-3)\/2)\/1. Suppose -7*j = -o - 3. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - (-57)\/15)\/(4\/(-5)). Let x = 116 - 112. Which is the fourth smallest value? (a) t (b) x (c) 3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventy-one quarters of a microgram?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 11 - 5 - 3 + t**2. Give o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 26259300 and 26259299 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5108\/100 - (8 - (-1782)\/1575*-7)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -16.6. Let o = p + -1.1. Which is the third smallest value? (a) 5 (b) -2\/17 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - l - 1 = 4*f, -4*l - f + 14 = 0. Suppose -w + 4606 = -l*j, 3*w - 6*j + j = 13838. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-9 + (0 - 0)) - (-90 - (-84 + -48))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*a - 9 = 0, 5*i - 3*a = -8*a. Let r = 11 + i. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5*1)\/(-7*(-7)\/(-49)). Solve j*a + 28 = q, 3*a + 34 = 5*q + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 12. Let q(v) = v + 6. Let u be q(n). Solve -c = c + u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7241.1 rounded to the nearest 10?\nAnswer: -7240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 199 - 150. Let q be 33 - (-24)\/(-8) - 2*1. What is the highest common factor of i and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 5*w**2 - 5*w - 8. Suppose 2*a + 5*k = 37, k - 5*k = -3*a - 2. Determine n(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**8\/840 + u**7\/420 - u**3\/6 - 2*u**2. Let l(r) be the first derivative of y(r). Factor l(f).\nAnswer: 2*f**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 divided by 2?\nAnswer: 133\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -18*p + 58*p. Sort 5, 20, p, -19, -1 in descending order.\nAnswer: 20, 5, p, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 8*o**3 + 7*o - 7. Let m(p) = -p**3 - p + 1. Suppose 0 = -4*q + a + 26, -2*q + 5*q - 2*a = 22. Determine q*m(v) + u(v).\nAnswer: 2*v**3 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2 - 96*o + 142. Calculate u(26).\nAnswer: 1026","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 6)*(-m + m - m**2) - 382*m**2 - 67*m + 207*m**2 + 182*m**2 to k + n*m**2 + a*m and give a.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -6*k**2 + 164. Let q(c) be the second derivative of -c**4\/12 + 10*c. What is q(g(j))?\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 1050085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9972, 9994, 10018, 10044, 10072, 10102?\n\"Answer: d**2 + 19*d + 9952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 388 and 25802?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14.84 times 5\nAnswer: 74.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + 28 + -45 - 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3.9+13245.078337587\nAnswer: 13248.978337587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -39. Let u(p) = p**2 + p - 9*p**2 - 3 + k - 4*p**2. Give u(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 152*x**4 + x**3 - 65*x**2 - 10589*x wrt x?\nAnswer: 1824*x**2 + 6*x - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b + 2*b + b.\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (9 + -8 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10396, 21480, 32564?\n\"Answer: 11084*k - 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 4, 129.\nAnswer: -4, 4, 5, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*((sqrt(76)*-3 + sqrt(19) + sqrt(19))*-2)**2.\nAnswer: 7295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1682, 7089, 16078, 28631, 44730, 64357, 87494?\n\"Answer: -3*x**3 + 1809*x**2 + x - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 423931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.5 + 2.6. Let m = 7 + h. Let v(o) = o**3 - 7*o**2 + 5*o + 8. Let b be v(6). Is b smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 63*h - 9596 = 66*h, 0 = -h + 3. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1751\/2622 - 1\/874. Which is the biggest value? (a) x (b) 0.89 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1\/(-2)*(-4 + -52 - -2) and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3337 is divided by 51.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*v**4 + 5*v - 5*v + (-2*v**2 + v**2 - v**2)*(-v**2 + 0*v + 0*v) + (-5*v**2 + 3*v**2 + v**2)*(2*v - 2*v + v**2).\nAnswer: 22*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 951 or -3892?\nAnswer: 951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -279, 146 in decreasing order.\nAnswer: 146, -1, -5, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 33259 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -4) + -42 + -1. Let f = 74 + d. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*8\/(-144)*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 145?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 66085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302261015 to the power of 1\/3, to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-9 - 0)) + -23 + 47 + -31?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/(-960))\/((-6)\/(-4)*(392\/21)\/7).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by 55\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**5\/10 - 131*f**4\/10 + 18203*f**3\/2 - 181633*f**2\/10 + 9075*f = 0?\nAnswer: -375, 0, 1, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3689 and 476?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546411.\nAnswer: 3, 23, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2746 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -286\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 2*c - 10 = 2*p, -5*p = 5*c + 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5750568490 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3 = -4*h - 4, 0 = -4*h + l + 5. What is the remainder when (-8)\/h + -33 + 358 is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*m - 15, -5*s + 14 = -11. Solve -3*d = 2*b - 4*b - 4, -5*d + b + 2 = m for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40029 plus 0.3?\nAnswer: 40029.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 - (-46 + 88) - (24 + -26).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3794575, 7589145, 11383703, 15178249, 18972783?\nAnswer: 22767305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 0 - 0 - -118. What is the second derivative of h*d**2 + 5*d + 3*d**3 + d - 121*d**2 wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3*j - 8 + (-2*j + j - j)*(-1 + 2 - 2) + 16221 - 170*j - 16221)*(4 - 4 + j**3).\nAnswer: -171*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 49, 3 in ascending order.\nAnswer: -1, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.205702 to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -5*t + 45, 285*k - 105 = -9*t + 286*k for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2200 + 719 + 2*i**2 + 716 + 765.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**4 - 2*v**3 + v**2 + v. Let i(d) = 129*d**4 + 9*d**3 - 5*d**2 - 5*d - 97. Let m(z) = i(z) + 5*s(z). Find the first derivative of m(h) wrt h.\nAnswer: 536*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -16*z**3 + 374*z**2 - 143*z - 69. Determine x(23).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 407*f - 39601. Determine o(-246).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 2:07 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from mmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12 - ((-336)\/7)\/(-8). Sort h, 2, -3, 18 in decreasing order.\nAnswer: 18, h, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 729 + -719. Suppose 16 = 3*f + 5*v, -6 = 7*v - u*v. Solve 0 = -f*l - 59 + 67 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpbpbbp. Give prob of picking 3 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**10\/75600 + d**8\/10080 + 53*d**5\/60 + 16*d**2. Let l(h) be the third derivative of s(h). Suppose l(z) = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqjj when four letters picked without replacement from jjqjjjjqqqqj.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -279912\/11 - -25508. Is n != 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhhnhunuuuunhn. Give prob of picking 1 n and 2 h.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 + 198\/(-45))\/((-6)\/(-200)). Find the second derivative of z*s**3 - 49*s + 76*s**3 - 10*s + 5*s wrt s.\nAnswer: 1176*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80*r**4 - 25*r**3 + 15*r - 73.\nAnswer: -960*r**2 - 150*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**1*r)\/r)**(-6)\/(r\/(r**0\/r))**29)\/(r**0*r**(-2\/3)*(r**0*r)**12) assuming r is positive.\nAnswer: r**(-226\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 4:35 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66865? (a) -31\/5 (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(1\/5)*p\/((p**(-2\/13)\/p)\/p)*p**(2\/3)*p\/p**(3\/2)*((p\/p**(1\/5))\/(p\/p**(-2)))**(-13\/5) assuming p is positive.\nAnswer: p**(19189\/1950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + 34*a - 151. Is s(10) a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4\/7 + 4*z**2\/7 - 2\/7.\nAnswer: -2*(z - 1)**2*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 192*w + 5*w**2 - 8*w**3 - 773*w + 199*w + 191*w + 192*w to h*w + j*w**2 + s + t*w**3 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/31, -3, -1\/4, 0.1 in descending order.\nAnswer: 0.1, -2\/31, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 z, and 1 i when four letters picked without replacement from {z: 1, i: 7, a: 6}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t. Suppose -3*k = 10 - 13. Let o(d) = 15*d. Give k*o(a) - 18*p(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/8 - -4 - 3\/12. Suppose 0 = -3*f + 5*v - 16, 2*v + z = 5*f - 5. What is the smallest common multiple of 27 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -289, -2380, -8057, -19114, -37345, -64544?\nAnswer: -102505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -18256 (base 9) to base 15\nAnswer: -3b06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11978, -11979, -11980, -11981, -11982?\nAnswer: -11983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/4)\/(9\/(-732)) and 62\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 651*x**2\/2 + 2*x - 1. Let z be j(-2). Round z to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 9*y**2 - y + 5. What is r(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q = -3*x + 84, -3*x + 99 = -2*q. What is the remainder when 59 is divided by x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -143?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 15*n + 97. Let t be i(-7). Let v be 95 - -2*(5 + 52\/t). Is v at most 93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26008?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 11*p**2 - 17*p - 7. Let r be x(9). Suppose -r*b + 240 = -6*b. What is the least common multiple of (-8)\/b*-3*-30 and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1281, -1280, -1277, -1272?\n\"Answer: r**2 - 2*r - 1280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1911381 and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -15*k - 12. Let j(z) = -57*z**2. Determine j(h(r)).\nAnswer: -12825*r**2 - 20520*r - 8208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12732 is divided by 6362?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (192\/240)\/(2\/(-283250)). What is i rounded to the nearest 1000?\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**3 - 2*u**3 - u**3)*(-4 + 0 + 0)*(203 - 378 - 510) to the form t + k*u**3 + f*u + g*u**2 and give k.\nAnswer: -5480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**4\/4 - 3*o**3\/4 - 13*o**2\/4 + 51*o\/4 - 9 = 0.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/231*(1 + 0) - 52390\/(-273). Suppose 0 = 4*l + 2*i - 102, -2*l + 5*l + i - 75 = 0. Calculate the highest common divisor of z and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89450596559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1227 or 1230?\nAnswer: 1227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -10*d - 49. Suppose -k + 66 = -3*p + 2*k, 0 = 2*p - 4*k + 52. List the prime factors of t(p).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 8. Let t be r(-6). Suppose p = -t*z + 31, -5*p = 2*z + 5 - 24. What is the remainder when 50 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 115*y + 7474. Let g be a(-65). Sort 0, g, 53, -5, -3 in decreasing order.\nAnswer: 53, 0, g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 20. Suppose -4*y = -18 - l. Solve y*n - 24 = s, -n + 2*s + 3 = -0*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35, 110, 215, 350, 515, 710?\n\"Answer: 15*r**2 + 30*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 468\/78 + (2 + -1)*(2 - 5). Solve 0 = o*m + 29 - 32 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2851\nAnswer: 1\/2851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -5 - 9. Let k(m) = -4*m + 6 + 467*m**2 + 3 + 12*m - 466*m**a. Calculate k(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -333, -594, -1321, -2748, -5109, -8638?\n\"Answer: -39*l**3 + l**2 + 9*l - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 340750 rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93599961 by 13371423.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 + 6*a**2 - 1548*a - 6162. What is w(-4)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/30 + 4\/6. Is (-5 + 3)*(-24 + -1 + x) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -131, -220, -313, -410, -511, -616, -725?\n\"Answer: -2*x**2 - 83*x - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4506*a - 9104*a = -4551*a - 2209 for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(608)\/sqrt(2).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 48133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 - 9)*(3*m + 0*m - m)*(-3237 + 3237 - 86*m) as b*m**2 + o*m + k and give b.\nAnswer: 2580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 456 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3497 a factor of 6640067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, e: 6, p: 2, z: 1, y: 1, c: 1}. What is prob of picking 2 b, 1 y, and 1 z?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + -4*(sqrt(500) + (sqrt(500)*-2*-1 - sqrt(500)))*-4)**2.\nAnswer: -4480*sqrt(5) + 512049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 21. What is the closest to 1\/2 in -1, -2\/21, w?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 10:49 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 69. Suppose 0 = 4*w - 3*w + 5*b - 29, 4*b - n = -4*w. Suppose 15 + 45 = 3*r. Solve -w*o = 4*a, -5*a + r = -0*a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.2, 2.3, -11103, -0.4, 3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4192098145?\nAnswer: 5, 2549, 328921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21040766 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h**3 - 86*h**2 - 22*h - 25. Let x be y(-17). What is the highest common factor of x and 400?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/8)\/f**9 assuming f is positive.\nAnswer: f**(-75\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4)\/q**(8\/5)*((q*q*q\/(q**(4\/7)*q))\/q)\/q*q\/(((q\/(q\/(q*q**(-2))*q))\/q)\/q))**25 assuming q is positive.\nAnswer: q**(2155\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**5 + 1110*x**4 + 14740*x**3 + 37610*x**2 + 35415*x + 11440 = 0.\nAnswer: -208, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/13 + 15\/13. Let z(b) = 12*b - 4. Give z(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 5*n**2 + 4*n + 4. Let z be p(4). Suppose z*u = 3 - 23. Let b(o) = -4*o - 3. Let r(j) = 5*j + 4. Let a(d) = -6*b(d) - 5*r(d). Determine a(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 2, -10, -38, -88, -166, -278?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 3:16 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 6) to base 11\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/4400 and -49\/8300.\nAnswer: 365200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*h**4 - 831*h**3 - 835*h**3 + 2*h**4 - 832*h**3 - 3*h + 2500*h**3 + 5*h**2 in the form y*h**3 + l*h**2 + n*h + z + t*h**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.07, 3, -458.6, 0.24, -2\/17?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/(-5)*1\/(-2). Put -3\/5, n, -5 in ascending order.\nAnswer: -5, n, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 + 106. Let m = 5545 + -5485. Calculate the least common multiple of m and s.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ini when three letters picked without replacement from {i: 9, n: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 5*z**2 - 5*z + 8. Let y be u(5). Let c = 23 + y. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*b + 4051, -163*b - 6747 = -5*p - 164*b. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5726 - 0.7674. Which is bigger: -0.1 or r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*((-9)\/(-3))\/9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 1. Let i be v(2). Let y(g) = g**3 - 8*g**2 - 10*g + 10. Calculate the remainder when 1 is divided by y(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(3\/2)\/q)\/(q\/((q\/(q\/((q**(-2\/3)\/q)\/q)))\/q)))\/(q**(-5\/11))**(-3) assuming q is positive.\nAnswer: q**(-299\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 + 2*x**2 - 2*x - 2. Let j be w(-2). Let y(r) be the first derivative of r**4\/4 + 5*r**3\/3 - 4*r**2 - 6*r - 5. Does 4 divide y(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r - 12. What is d(-6)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 0.3.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/15*((-15)\/(-2))\/(-3). What is the highest common factor of v and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1987?\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -3 (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 + -0.46. Let y = -0.058 - -4.058. What is the second biggest value in y, n, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2323799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1610*o + 362*o + 29580 = 0 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54731417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 23*p + 30 = 0. Suppose 0 = -8*t + 3*t - p*b, 2*t - 31 = 5*b. Solve t*x = 2*q - 18, 0 = -3*x - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 5\/8*b**4 + 25\/2*b**3 + 270*b - 62 + 90*b**2. Suppose n(q) = 0. What is q?\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o. Suppose 0 = c - 4 + 2. Suppose -c*b - 6 = -4*b. Let j(f) = 3 - b + 2*f. Give v(j(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207947974.\nAnswer: 2, 13, 1999, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-eight fifths of a decade?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 0*y + 48*y**2 - 4 + 5 + y. Let j be m(-1). List the prime factors of (3 - 0)*j\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 15*v. Let x(s) = 2*s + 948. Give x(m(t)).\nAnswer: 30*t + 948","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -152*f**3*h**2 + 569*f**3 + 3803*f*h**2 + 594 wrt h?\nAnswer: -304*f**3*h + 7606*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-180)\/(-21))\/(-4)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 1 - (0 + 4) - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 148 - -98. Let k = 250 - g. Sort k, -82, 5 in increasing order.\nAnswer: -82, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -f - 2, -3*q - 3 = -0*f - 3*f. Let r = -18 - -29. Let z = -10 + r. Which is the nearest to 3? (a) 3 (b) z (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 6*m = -322. Suppose -m*l = -18*l - 1265. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2018?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 38*w - 226. Let y be z(6). Let m(r) = -r**2 - 3*r - 1. Let g be m(-3). Let l be (((-40)\/6)\/(-5))\/((-2)\/(-6)). Sort -3, g, l, y in ascending order.\nAnswer: -3, g, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 6*k + 2. Calculate m(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2491*g = -2487*g - 8*n - 180, -4*g - 5*n = -115 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/16 and (2980\/150*-1)\/((-32)\/(-10))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (88*u - 98*u - 86*u)*(31*u**2 + 31*u**2 - 50*u**2) to the form f*u**2 + l*u**3 + a + g*u and give l.\nAnswer: -1152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 121808 = 4*c, 4*c + 135*p - 138*p - 121802 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00496558755 to 4 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -38*((-2)\/(-6) - (-99)\/(-378)). Let j = 22\/7 + k. Suppose -3\/7*w**4 - 16\/7*w**2 + j - 2*w**3 - 2\/7*w = 0. Calculate w.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2165040\/2170)\/((-2)\/(-7))?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - 4*u**2 - 913. Let v(b) = 2*b**3 - 5*b**2 - 923. Determine -5*q(f) + 4*v(f).\nAnswer: -2*f**3 + 873","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15695 + -78466\/5. Solve -1\/5*o**3 + 11\/5 + a*o**2 + 21\/5*o = 0 for o.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74503771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 10*h**2 + 14*h + 16. Let s be t(8). Let i(a) = -a + 27. Let c be i(23). What is the third smallest value in s, 0.3, c, -24?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3 + 16*z**2 + 45*z - 162 = 0. What is z?\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -4*r, -r = -0*r - z - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -686? (a) 4 (b) 13 (c) -6 (d) -5 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458*s**3 - 1 - 457*s**3 + 1.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0431622317 to 6 decimal places.\nAnswer: -0.043162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -575 times -4.9\nAnswer: 2817.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**5\/15 + h**4\/2 + 4*h**3\/3 + 15*h**2 - 35*h. Let p(d) be the first derivative of l(d). Factor p(k).\nAnswer: 4*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6661 divide 227052877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Is 60 <= 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -247 by -2731.\nAnswer: 247\/2731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r + 6 = 0. Let s(u) = 4*u**2 - 8*u + 9. Let q(y) = -3*y**2 + 9*y - 10. Let k(b) = 3*q(b) + 2*s(b). Let t be k(10). Is r less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/35)\/(5 - 33\/7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4432 and -1366.\nAnswer: 6054112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -105486625 divided by 5\nAnswer: -21097325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 - 447 = -5*i. Suppose -u = 4*m + u - 520, m - 5*u - i = 0. Is m a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 0, 5, -5, 10, 13, -17 in ascending order.\nAnswer: -17, -5, 0, 5, 10, 13, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -137629265 divided by -2?\nAnswer: 137629265\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*h - 2*h - 3624, 0 = 5*h + 3*w + 9092. Is 6\/(-14) - h\/56 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*i + 46, 8*i - 66 = 6*i - 3*b. Round i to the nearest integer.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/(-6) - 8\/12. Suppose -42 = -4*r - h, -r - 3*h = 1 - b. What is the lowest common multiple of r and ((-4)\/5)\/(3\/(-15))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdfw when four letters picked without replacement from xdxwywwwwwddwywwfwww.\nAnswer: 11\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 10168 (b) 6\/7 (c) -19.6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*z - 4. Let o be (z\/5)\/((-5)\/(-175)). Calculate the greatest common divisor of o and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1591, 6380, 14359, 25528, 39887, 57436, 78175?\n\"Answer: 1595*u**2 + 4*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3060 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609020 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 127 - 124. Suppose -2*w = h - 7, 2*w - 2*h - 8 = -4*h. What is the nearest to w in p, -4\/3, 4\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*f + 41*f + 18*f + 1)*(-f + 0*f + 3*f)*((f + f - 3*f)*(-4 + 2 + 0) + 3*f + 2*f - 4*f).\nAnswer: 456*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 13 = -133. What is the remainder when (-3)\/3*(-59)\/1 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 153.4 - 153.7812. Let z = 0.0058 - b. Let h = z + -0.3711. Round h to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = w + 33. Let d = w + 9. Solve -d = -3*p - p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 32610?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + (-21 - (-101 - -67)) - -25?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -47*a + 378. Let f be w(5). Let r = -9 + 13. Suppose 5*p - 3*m = f, -r*p + 5*m - m = -116. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/2 - 5\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32530 is divided by 11008?\nAnswer: 10514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10720907221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1518287, 3036556, 4554825?\nAnswer: 6073094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1171 is divided by 131?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 17097736.4 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154816027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 2*v - 4. Calculate g(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f - 39 + 35*f - 30 + 68.\nAnswer: 30*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 - (1 - 3))*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, f: 10}. What is prob of sequence fk?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -756 + 876. What is the remainder when 599 is divided by k?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/35 - (-12)\/28. Let o be (-7)\/(-1) + t - (28 - 25). Solve -2*a = -o - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/3 - 8780*m**4 - 872012*m**3\/3 + 2702776*m**2 - 7420578*m + 6495876 = 0.\nAnswer: -41, 2, 3, 13203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.6 + 4. Let f = p + -0.3. Let t = -6619 + 6619. What is the nearest to f in -9, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 1. Let s = d + -0.2. Which is smaller: s or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-24))\/((-7)\/3*(-48)\/2688).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 5*c - 1. What is s(8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -494, 4\/21, 12.8, -1, 3?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300 and 42700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7\/5)\/s)**36*s**(-2\/21)*s\/s**(-14) assuming s is positive.\nAnswer: s**(-7507\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence arr when three letters picked without replacement from ddaiardmdrrx.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2814 divided by -84285\nAnswer: -938\/28095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 545506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 99645\/(-52) + 4 + -19. Is f bigger than -1930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -180*j**3 + 3236*j**2 wrt j.\nAnswer: -1080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -125, -2, 0.048?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 11 - -2) + -691 + 695?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 484062046 divided by -34?\nAnswer: -14237119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 758*i + 1244*i**2 + 778*i + 754*i - 2290*i.\nAnswer: 1244*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*v - 144 = 0. Does 36 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169.6 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1466376, -1466219, -1466062, -1465905, -1465748?\n\"Answer: 157*g - 1466533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmmgmgz. Give prob of picking 1 m and 2 g.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b - 1. Let a = -31 - -12. Let j be (a + 10)*1\/(-3). Let i(s) be the second derivative of 2*s**3\/3 + s**2\/2 + 3*s. What is j*o(w) + 5*i(w)?\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -223?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27974\/9 + -3108. Factor -4\/9*a**2 + 2\/3*a - 2\/9 - 4\/9*a**3 - o*a**5 + 2\/3*a**4.\nAnswer: -2*(a - 1)**4*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, l: 2, r: 3}. Give prob of sequence yl.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000385 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1938298 centimeters in kilometers?\nAnswer: 0.000001938298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -217 in decreasing order.\nAnswer: 5, -3, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1565 + 3972. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = -20*s + 42*s - 181 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 11:45 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from {y: 6, q: 4, e: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9*147\/189*7\/((-42)\/(-4))\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) - ((-380)\/(-16))\/5. Let v(u) = u - 5. Let t(c) = c - 5. What is r*t(s) + 4*v(s)?\nAnswer: -s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 0*l + l + 6*l - 23 - l. Let a be c(7). Calculate the greatest common factor of a and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 9*d - 27. Suppose w - 19 + 7 = -2*s, -w + 14 = 3*s. Suppose w = -3*k + 20. Solve d = -2*t - 2*t + k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 = 7*d - d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000815 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**1*v)**(-42)\/(v\/(v\/(v**(-6)*v))*v\/v**(-6)*v) assuming v is positive.\nAnswer: v**(-129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**5 - 6118*o**4 - 61259*o**3 - 128688*o**2 = 0.\nAnswer: -7, -3, 0, 6128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11366 (base 10) to base 15.\nAnswer: -357b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9262*p*u*w + 3315*p*w - 7*u*w - u - 2*w - 4431735 wrt p.\nAnswer: -9262*u*w + 3315*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 10*s - 14. Suppose 158 = -11*b + 37. Give j(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/15 + 4284\/170 + -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7811 and 321?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = q + 3*t + t, 0 = -3*q + 5*t + 7. Is 14 a factor of 30*(10\/6 + q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 15*k**3 - 16*k**3 + k**2 + 2*k**2 + 2. Let x be d(3). Suppose -2*a - a = x*s - 128, 1 = s. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 288, 322, 346, 354, 340, 298, 222?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*(y\/y**(-4))\/y))**(1\/18))**(27\/7) assuming y is positive.\nAnswer: y**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 237 + -943. Suppose 4*p - 3*p = -2. Is p\/4 - (-1 + n\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -999*m = -998*m - 1, -g + 6 = m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1585306945569129.313 - -1585317048471649.11300491. Let c = 10102902436 - b. Let n = c - -83.8. What is n rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92.82 + -90. Let p = i - -0.18. Let w = -44 - -43.6. Which is the third biggest value? (a) p (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 44987302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12 + 10)\/(0 - -6). Which is the biggest value? (a) -34 (b) 0 (c) -4 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 20 = 9*z. Let h(f) = -f + 1. Let w(l) = -2*l + 4. Suppose -4*p - 3*s + 2 = 0, -s - 104 = 4*p - 102. What is p*w(d) + z*h(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = -3*w - 1084 + 1183 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 2. Suppose -4*n + 2*n = -5*i - 10, 0 = -n + 5*i + 15. Let v be z(n). Calculate the least common multiple of 29\/v - 2\/(-6) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -260.3 + 33.3. Let z = -227.1055 - q. Let o = z + 0.11. What is o rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*p - 19 - 3, 0 = 2*v + p - 19. Factor -5 + 74*r**3 + 74*r**3 + 4*r - v + 12*r**2 - 152*r**3.\nAnswer: -4*(r - 3)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 3*d + 179. Let j be l(12). Let p be (-126)\/105*(6\/(-4) + j). Solve -2*y = -p*r - 7 - 0, 0 = 4*y - 3*r + 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 times -84\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*n = -125*n + 864. What is the highest common factor of n and 216?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -823 - -822.5. Suppose -3*u - 20 = -17. Which is the biggest value? (a) y (b) 0.05 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 374 + 6*z - 386 + 0*z. Let d = 2 - -3. Does 9 divide o(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463411423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -9. Let w be 11\/(-3) - (-8)\/12. Which is the closest to h? (a) -5 (b) 4\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -3 (c) -2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010000 + -101?\nAnswer: -111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*-1*((-15)\/25)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -9, -2 in descending order.\nAnswer: 6, 4, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18880*a**2 - 183*a - 56465701 wrt a?\nAnswer: 37760*a - 183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 21. Let r = z + 6. What is the second derivative of -5*n**2 - n**r + 5*n**2 + 10*n - n wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38411?\nAnswer: 71, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -23, -118, -303, -608, -1063?\nAnswer: -1698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211202 (base 3) to base 8.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 18 - 6 - 12 - 2*r. Let k(m) = -2*m. Let z be (-32)\/18 - (-6)\/(-27). Determine z*w(a) + k(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + 0 + -2 + -6. Let m be -2 + (o - 0 - -7). Suppose 5*s + 10 = -5, 0 = -5*j + m*s + 101. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 374*w**2 - 1841*w - 1423. What is s(369)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**3\/30 + 11*u**2\/10 - 21*u\/10 + 231. Solve c(z) = 0.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 (base 8) in base 4?\nAnswer: -1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 2. Let x = 8 + -17. Let u(f) = f**2 - 1. Let g(r) = x*u(r) + 4*h(r). Let p(i) = 7*i**2 - i - 4. Give -6*g(d) - p(d).\nAnswer: -d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-18)*5\/(7095\/44)*9\/2.\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 17*d**2 - 42*d + 20. Is s(14) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*v + 13 - 18 - 48 = 0. Let t(o) = 1. Let y(g) = 5*g - 1. Calculate v*y(r) + 2*t(r).\nAnswer: 5*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + -4 - -2) + -23 + 16?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + -73. Suppose 2*d + g*d = 572. Is 22 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.15 + -0.14997. Round x to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2\/5, 2\/13, 1, -1 in descending order.\nAnswer: 14, 1, 2\/13, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (2 + 0)) + -97 + 100?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91652, 183351, 275050, 366749, 458448?\nAnswer: 550147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 6*i + 2. Give c(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 + 153*r + 9. Let m be i(-36). Do m and -1257\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9981, -19772, -36089, -58932, -88301, -124196, -166617?\n\"Answer: -3263*j**2 - 2*j - 6716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.48 (b) -0.04 (c) 2\/7 (d) 2\/3 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4595254.\nAnswer: 2, 31, 137, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11ac24b (base 14) to base 12.\nAnswer: 2a122b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 466851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 11. Suppose -5*b + 1 = 2*h - 4, h + 2*b = 2. Calculate p(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126963851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2518 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 13. Let c(x) = x - 2. Let w be c(-3). Let s be v(w). Suppose 0 = s*o - 3*o - 2178. What is the highest common factor of 22 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**3 + 2*g**2 - 66*g + 397. What is v(6)?\nAnswer: 937","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {w: 8, d: 2, j: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 4*r. Let i = 1 + r. Differentiate 1 - 3 + 0 + 4 + u**i wrt u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125852 - -40425352?\nAnswer: 40551204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153 + -103. What is the remainder when 97 is divided by s?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g. Let x(f) = f - 17. Let s(a) = 2*m(a) - x(a). Let v be s(5). Suppose 3*r = 4*z - 8, 3*z + 23 - 58 = -5*r. Sort v, z, 7, -1 in increasing order.\nAnswer: -1, v, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 2*n - n + (-4*n + n + 2*n)*(-6 + 0 + 2) + 3*n + 4 - 4 + (-2 + 2 - n)*(2 - 3 + 0).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1060.790681506 + 71.790672936. Let b = -989 - v. What is b rounded to 7 decimal places?\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*k + 3*b, 0 = k - 5*b - 10. Let d(i) = 4*i + k*i - i - 3*i. Let a(x) = -6*x. Give a(d(s)).\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/112 - 3) + (-2)\/14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20564260537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-18)*3\/(-18)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - 2*(sqrt(272) - -1*sqrt(272)) - (1 + sqrt(272) + 0))**2.\nAnswer: 32*sqrt(17) + 4353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 - -94. Let j(h) = 9*h + 21. Let f(w) = -22*w - 52. Let s(m) = u*f(m) + 12*j(m). Let d be 3*((-1 - -2) + -3). Determine s(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -12. Suppose -12 = -f*m + m. Solve -5*g = 4 + m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 123*m**2 - 646*m - 758. Let b be c(-128). Let u be (0 - -1) + 4 + -1. Solve -3*z + b = -8*z, 3*z - 6 = -u*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 660000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*f - 7*f. Suppose f = 6*d - 3821 - 3169. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23377 divided by 30?\nAnswer: 23377\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.39 - 0.01. Let q = 86\/15 - 27\/5. Put s, 2\/3, q in descending order.\nAnswer: 2\/3, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.9 and -3390008?\nAnswer: 3390005.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15136 + 19*x**2 + 15144 + 3*x - 30280 - 3*x.\nAnswer: 19*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81 - -109. Suppose 0 = 3*q - 32 - d. Solve -2*l = 5*w - 18, 4*l = w - 3*w + q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341 = 3*r - w, 0 = -0*r - 5*r + 3*w + 575. Let p = -562\/5 + r. Which is the closest to p? (a) 2 (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 + 61. Sort 4, k, -4 in decreasing order.\nAnswer: k, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1962*l**3 - 17*l**2 + 5*l - 78. Let h(w) = -2943*w**3 - 26*w**2 + 8*w - 120. Let p(q) = 5*h(q) - 8*j(q). Find the third derivative of p(t) wrt t.\nAnswer: 5886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 3*v + 5. Let g(q) = q - 1. Let i(c) = -32*c + 2*c**2 + 523 - 3*c**2 - 456. Let z be i(-34). Determine z*k(u) - 6*g(u).\nAnswer: -u**2 - 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbrrrmbmrr. Give prob of sequence brr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 53408416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -161 + 252. Suppose 5*l + o - 824 = 0, -l = -2*o - q - 76. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1274485 is divided by 167?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -13.032. Let m = q + -0.032. Let x = -22.074 - m. What is x rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 192 - 191.8. What is the closest to 1 in t, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4162, 16685, 37572, 66829, 104462?\nAnswer: 150477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -30. Solve -2*m + g*m = 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 2*c - 618, 31 - 477 = -3*j - 2*c. Let v(i) = -15*i + 428. Let b be v(26). What is the greatest common divisor of j and b?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.094 in -13, -4, -268?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 - 30*w. Let a(q) be the third derivative of -q**5\/30 + 183*q**2. Calculate a(l(r)).\nAnswer: -8*r**4 - 240*r**3 - 1800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2564\/415 + 1044\/83. Let 8\/5 + 14\/5*y**2 + v*y = 0. What is y?\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 11*h**2 + 6. Let z be j(-11). Suppose -z*k + 24 = -2*k. Suppose -4*r + r = -k. Solve r*w - w = 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/716 and 25\/28462.\nAnswer: 10189396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 g, and 1 n when four letters picked without replacement from bngqv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(198\/(-11)))\/(12\/440*(-5)\/(-6))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 7 - 9. Suppose 0 = -2*u + x, -i + 8 = 2*u + 2. Let j(m) = 0 - 1 - i*m + 2. What is j(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, d: 1, q: 2, x: 3, r: 1}. What is prob of sequence rdxx?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**0*o\/o**(-10) assuming o is positive.\nAnswer: o**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*d = -146022 + 148903 for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1216)*3)**2.\nAnswer: -48*sqrt(19) + 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, s: 4, b: 2, v: 2, t: 5}. Give prob of picking 1 b, 2 p, and 1 v.\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/13, 1\/4, -132?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - o + 3. What is the units digit of r(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = i - 87, -i = -5*w + 4*w - 71. Solve i = d + 66 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8701*q + 132. Let j(v) = -580*v + 9. Determine 44*j(p) - 3*r(p).\nAnswer: 583*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2083\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4183, 16752, 37695, 67012, 104703, 150768, 205207?\nAnswer: 268020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -507887*f**5 - 135*f**2 - 763130012*f wrt f?\nAnswer: -10157740*f**3 - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + (2*sqrt(704)*5 - sqrt(704)))\/((sqrt(4) - -6*sqrt(8)\/sqrt(2)) + sqrt(400)*1).\nAnswer: 40*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(3*v + 0*v - 2*v) + 645*v - 168*v + 210*v.\nAnswer: 685*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (2 + 1) - -9. Suppose -7*v + 4*v + 6 = 0. Factor a**2 - y*a - 13 + 5 - 2*a**v - a**2.\nAnswer: -2*(a + 1)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 7:33 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 24*b - 17*b - 6*b**2)*(-2*b**2 - b**2 + b**2).\nAnswer: 4*b**4 + 82*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 7. Give c(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3159593 or 3159602?\nAnswer: 3159593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, n: 4, g: 3, u: 4, j: 1}. Give prob of picking 2 n and 1 j.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7808.66 micrometers?\nAnswer: 7.80866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 221460 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-3)\/f)**16)**(-10)*(f\/f**(5\/3)*f**(2\/7))\/(f\/(f**(-3\/2)*f)*f**(-6)) assuming f is positive.\nAnswer: f**(20333\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11256931 - -3273999. Let p = l + -14530867.00031. Let n = 63 - p. What is n rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 5*z - 22, g - 14*z + 6 = -13*z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.448 - 0.552. Let o = 0.01 + 2.99. Which is the closest to -2? (a) 2\/3 (b) j (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11963417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 - -99. Let w(s) be the third derivative of -2\/3*s**3 + 0*s**4 - 1\/120*s**6 + a*s**2 + 1\/15*s**5 + 0*s + 0. Calculate w(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/3 - 2*u**4\/3 - 20*u**3\/3 + 62*u**2\/3 - 61*u\/3 + 20\/3.\nAnswer: (u - 4)*(u - 1)**3*(u + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620613292?\nAnswer: 2, 13, 918067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r + 96 = 26*r - 16*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 9. Let f be s(-7). Let i(b) = -b**2 - 1. Let o(j) = -2*j. Let y(q) = f*i(q) - o(q). Give y(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zziziii.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + (4 - -8) - (-2 - 0)) + -22.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(33)\/sqrt(3)) - sqrt(156)\/(sqrt(36)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2730741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -13.05817?\nAnswer: -1.305817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3675*b*j*w**3 + 17*b*j*w - b*w**3 - 3363*w**3 + 3*w**2 wrt j.\nAnswer: -3675*b*w**3 + 17*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-18)\/(z\/z**(-4\/25)))\/((z*z\/((z\/(z*z**(5\/4)*z))\/z))\/(z**(-11\/4)\/z)) assuming z is positive.\nAnswer: z**(-704\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003144 rounded to four decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 12*q - 9536 = 0. Suppose -287*x - q = -291*x. What is the remainder when x is divided by 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1*316\/(-288) - -1)*(38 + -33) and -86\/1395?\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 519 - 343. Calculate the greatest common factor of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 - 2*w**3 + 5*w**2 - 4*w**2.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 268*c**2 - 537*c**2 + 264*c**2 to the form s + d*c**2 + i*c and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*y = 24, 30 = 5*k - y - 2*y. Calculate the greatest common factor of k and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29593 + 51558. Suppose 3*z = 0, -5*s + 6*z = 2*z - j. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -24.9. Suppose 3*p = -2*y + 10, 29*y + 4*p = 34*y - 2. What is the second smallest value in -2\/21, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6376, 1, 5346, -3 in decreasing order.\nAnswer: 6376, 5346, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - z = 439, -5*z = 2*f - 3*z - 178. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 4:01 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1310*h**6 + 159*h**2 - 5*h - 4. Let w(j) = 652*j**6 + 79*j**2 - 3*j - 2. Let i(y) = 3*s(y) - 5*w(y). What is the third derivative of i(z) wrt z?\nAnswer: 80400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21111120 (base 3) to base 2.\nAnswer: -1010101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s + 4*s**3 + s**2 - 10*s**2 + 11*s**2 in the form j*s**3 + f + y*s + x*s**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1867897.\nAnswer: 1867897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1975, -3, 4 in increasing order.\nAnswer: -3, 3, 4, 1975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-16))**(-2)\/(r**(-18)*r**(7\/9)) assuming r is positive.\nAnswer: r**(443\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 5*z + 103*m - 106*m, -4*z - 1391 = 2*z + 3*m - 1481 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 4. Suppose 9*l - 7*l - 8 = 0. What is x(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 186*a + 5102. Give n(-27).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 645.2536 centimeters in kilometers?\nAnswer: 0.006452536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1615 and 5491?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = -4. Suppose -5*j = 3*t - 61474, v*j + 3496 = t - 16999. Let w = t - -7407. What is w rounded to the nearest one thousand?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 278600 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/156)\/(-1) - 3604\/(-1768). Solve 4*c + 16 = -4*o, -q = -4*c - 2*o - 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 1)*(12*a - 105*a - 38*a) + 4 - 5 + 3 + 2*a)*(0*a + a**4 + 0*a).\nAnswer: -129*a**5 + 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**14\/b)\/(b\/b**(1\/5)))\/((b**23\/b*b)\/b*b)**(-4\/21) assuming b is positive.\nAnswer: b**(1741\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.5953 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 183064?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14928 is divided by 2972?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6) + -1 + (-23)\/38.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 1:59 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43.5 - -44. Sort -0.03, 2\/3, p in descending order.\nAnswer: 2\/3, p, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + (0 - 3))*2. Let b(o) = 4*o + 1. Let g be b(3). Let d = j + g. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1374\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1876172738?\nAnswer: 2, 11, 79, 439, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 29*i**6\/30 + 7*i**3 - 44*i + 23. Let h(y) be the first derivative of v(y). What is the second derivative of h(b) wrt b?\nAnswer: 348*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 552264 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 38*n - 38771 = 103688. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 134616027 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 8*i - 322. Which is greater: i or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1f1 (base 16) in base 7?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2862276 = 3*a, -20*c = -3*a - 24*c + 2862277. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 4:38 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -400 - -393. Let h = 42470889.0000154 - 42470882. Let s = m + h. Round s to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eec when three letters picked without replacement from {e: 4, p: 11, j: 1, c: 1}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -193009 + 193011. Suppose 0 + 4\/7*u**j - 3\/7*u**3 - 1\/7*u = 0. What is u?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(5*(sqrt(1900) - sqrt(1900)*2) + (sqrt(1900) - (-2 + sqrt(1900) + sqrt(1900)) - sqrt(1900))**2 + -4)*6 + 4).\nAnswer: -182408 + 3120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 176*r**2 - 1430*r - 11418. Give p(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16668148, -33336288, -50004432, -66672580, -83340732, -100008888?\nAnswer: -116677048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/55 + (-32)\/(-5). Let k(u) = u**2 - 4*u + 5. Let i be k(z). Let t = i + 14. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y. Let r(p) = -288*p + 63. Let v(l) = l**2 - 4*l - 1. Let t be v(2). Let n(s) = -23*s + 5. Let a(b) = t*r(b) + 63*n(b). What is a(j(f))?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56530 rounded to the nearest 1000?\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = -2. Let p = 4 - j. Let d = 53429.6 - 53430. What is the smallest value in p, 2\/5, d, 6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -u + 3*u. Let p(h) be the first derivative of h**3\/3 - h**2\/2 - 4*h - 5. Let j(x) = -2*x**2 + 2*x + 9. What is u*j(t) - 14*p(t)?\nAnswer: -2*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30552, -61116, -91692, -122280, -152880, -183492?\nAnswer: -214116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -14*k**2 + 5*k + 6. Let n(x) = -40*x**2 + 15*x + 18. Give 6*n(r) - 17*z(r).\nAnswer: -2*r**2 + 5*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 107839513 and -0.4?\nAnswer: -43135805.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 727*h + 310*h - 1035*h + 4618.\nAnswer: 2*h + 4618","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 204.8821 decades?\nAnswer: 24585.852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 69?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 308 - 224. Suppose 4*x = -4*r + q, 3*x + x - 5*r = 93. Calculate the greatest common factor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k + 10. Let n(r) = -21 + 1 - 70*r + 59*r - 1. Let t(c) = 3*n(c) + 7*s(c). Give t(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-14))\/((-258)\/319060*-212)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 5) to base 3.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 52 = -4*i, 42 = 5*p - 4*i + 14. Suppose -p = 8*f + 8. Let a = 46 + f. What is the remainder when 85 is divided by a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68676 = 302*j + 26396 for j.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889611037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5140 divided by -1028?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2912 - 0 - -18*(-4)\/(-24)?\nAnswer: 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37232935 and 1130?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 143264 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-five quarters of a litre in millilitres?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1\/16 (c) 8 (d) 9 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 35. Let g be z(-20). Solve -4*l - l + g = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 + 16*g**2 + 9*g + 9. Let f be b(-7). Solve -33*y = -44*y + f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -512 + 512. Suppose 2*l + n - 1 = 0, -4*n - 7 = -3*l - 0*n. Let q be ((-3)\/l - -2)\/1. Is q smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-273)*45 + 28 + (-3017)\/147\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 55 = 6*w. Let o be 2\/w - (-18)\/(-99). Put -4, -5, o, -2 in ascending order.\nAnswer: -5, -4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16971130937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43 - 10*h**3 + 131*h**2 - 131*h**2 wrt h?\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.55 + -0.38. Let r = -272.99 - -273. Let l = r + f. What is l rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 19*r**2 + 19*r + 26. Calculate q(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 94193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2212 + -325166\/147. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 611*o**6\/30 - 1003*o**4\/12 - 1031*o. What is the third derivative of i(n) wrt n?\nAnswer: 14664*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.15. Let q = -42 + 41.75. Let p = q + w. Which is the smallest value? (a) p (b) -2\/7 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h**3 - 9*h**2 + 9*h - 5. Let s(r) = 0*r - r + 2*r**2 + 4*r + r**3 - 5*r + 1. Calculate -4*i(z) - 18*s(z).\nAnswer: 2*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 5*f**2 - 11*f - 6. Let d be v(-3). Suppose d*k + 68 - 194 = 0. What is the remainder when k is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2 (b) -2 (c) -4 (d) -4\/21 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 2*(1 - -1) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(2\/19)\/b*b*b*b**(-4))**(3\/5) assuming b is positive.\nAnswer: b**(-51\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 475 and 55?\nAnswer: 5225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2408 and 2286568.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3027933681.\nAnswer: 3, 41, 24617347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -401 - -1233132040?\nAnswer: 1233131134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 - 8*a**2 + 57)*(227 - 1863*a + 144*a - 229).\nAnswer: 13752*a**3 + 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 764\/61 in increasing order.\nAnswer: -5, -3, 764\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5709, -5711, -5715, -5721?\nAnswer: -5729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = -59 + 234. Calculate the remainder when ((-108)\/(-30) + -1)*w is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2125248 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + (-5 + (11 + -25 - -8) + 22 - 23).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8418*s = 8401*s + 493 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - 4*d + d)*(-d + 4 - 4) - 830*d**2 - 2289*d**2 - 1729*d**2 to the form q + r*d**2 + s*d and give r.\nAnswer: -4849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 408249429 and 77?\nAnswer: 4490743719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**3\/3 - 4*c**2 - 6*c + 5. Let h be k(9). Let i be 0*h\/(-24)*-4. Solve -g = -x - 4 + 9, g + 1 = i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -71. Calculate the remainder when 66 is divided by a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1547222?\nAnswer: 2, 773611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 17, n: 3}?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2268*y**5 + 66*y**4 - 14*y**3 + y**2 - 53567*y - 5.\nAnswer: 136080*y**2 + 1584*y - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -45*j + 7. Let y(z) = -2*z. Let v(t) = w(t) - 5*y(t). Let f be v(-5). What is the highest common factor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180088359.\nAnswer: 3, 11, 41, 133103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - o**2 + 3*o + 2. Let u be a(-1). Let i(d) = -16*d + 2. Does 18 divide i(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24796641 or -24796652?\nAnswer: -24796652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*t - 39 = 0, -4*i + 36 = -0*t + 4*t. Let q = i + -8. Let o be (6\/2)\/(-1)*q. Which is greater: -10 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 = 5*w - 3*l, -w - 3*l - 110 = -3*w. Suppose 0 = 4*c + 3*c + w. What is the common denominator of (((-1036)\/(-8))\/c)\/9 and 5\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 1\/54511421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 101 = 2*j. Suppose -j = -4*m - 11*m. Let b(k) = -7*k. Determine b(m).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122398865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51944.\nAnswer: 2, 43, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1158*k**3 - 1178*k**3 + 2202*k**3 + k**2 - 4*k**2 to w*k + z*k**2 + s + j*k**3 and give j.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 97\/5 - 1\/(-10)*6. Suppose y*r = 21*r. Which is the fourth biggest value? (a) -0.1 (b) r (c) -0.4 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*p + 66, 2*p + 2*n + 36 = 3*p. Let j = p - 28. Let v(u) = -u**2 + 5. What is v(j)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2506*k - 4 - 4806*k + 3 + 1 + 2306*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/1150 + 84193\/93150. Find the common denominator of d and 73\/90.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6575 - 19687 + 31*d**2 - 102*d**2 + 6567 + 6543.\nAnswer: -71*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109532835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 3.988. Let i = 1.461 + -1.39. Let f = p - i. Round f to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 845*g**4 + 16*g**3 - 33*g**2 - 5403658*g wrt g?\nAnswer: 10140*g**2 + 96*g - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5519 - 5519.008376. What is n rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 169074 and 1437129?\nAnswer: 2874258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -21. Let x be 1\/f*(13 + -16). Let u(o) = 77*o**2 + 3*o - 2. Is u(x) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.75 (b) -5\/4 (c) -3 (d) -8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 - 35. Suppose u - y = 347. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide (-48734)\/(-21)*(-1)\/(-4)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103090 and 88544170?\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 - 0 - (-4 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 13*l + 6. Let v(i) = -11*i - 655. Let p be v(-59). Let b(d) be the second derivative of -77*d**3\/6 - 35*d**2\/2 - 2*d. What is p*b(k) - 35*z(k)?\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i + 76 = 0. Suppose -3*w + 4 = -26. What is the remainder when i is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 9*s + 4. Let g(q) = 3 + 46*q + 9 - 19*q. Let r(d) = -2*g(d) + 7*t(d). Differentiate r(n) with respect to n.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3c52 (base 13) to base 11\nAnswer: -6587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1900) - sqrt(1900))*4 + -1 + (sqrt(57) - (sqrt(513)*-2)\/sqrt(9))\/sqrt(3)*3.\nAnswer: 3 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 11*b - 23. Determine h(-8).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 181, -1\/32, -95, -0.1?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -1)*(-32)\/(-3). Let f be (-10)\/(-5) + -2 + 4\/2. Suppose -s = -f*c + c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 11. Let a be 72\/130 + z\/(-10). Sort -3, a, 4 in decreasing order.\nAnswer: 4, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 14*q**2 + 2*q - 3. Determine o(14).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*m = -6*n + 2, 10 = 5*m. Solve n*v + 3*q = 7 + 5, 5*q - 11 = 4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.8253 to 0 dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooovovovoo. Give prob of picking 2 v and 2 o.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 1, a: 2, c: 1, q: 2}. Give prob of sequence mu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 10*l**2 + 24*l + 5. Let n be p(-12). Suppose 0 = n*v + 6*v - 220. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -68, -2, 4, -3, -1 in increasing order.\nAnswer: -68, -3, -2, -1, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25844, -25838, -25822, -25790, -25736, -25654, -25538?\n\"Answer: l**3 - l**2 + 2*l - 25846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37.4 and -4438.\nAnswer: 165981.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19.1 - -16.35. Let w = -5.75 - i. What is the smallest value in w, 3, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/9 + 10*j**2\/9.\nAnswer: 2*j**2*(j + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -196*z - 20. Let w(n) = 3*n. Let m(t) = q(t) + 4*w(t). What is the hundreds digit of m(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z + 237 = 12 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 12:48 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/15 + 5*j**2. Let b(a) = a**2. Determine b(g(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*m + m**2 + 5*m**4 + 23*m - 4 + 2 - 3*m**4 in the form v*m + d*m**3 + q*m**4 + b + l*m**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21333897?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-27)*24\/40?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0039731 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(396) + -3)*-4)**2 - ((sqrt(396)*2 + -4)*6)**2.\nAnswer: -17280*sqrt(11) + 175680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -20 - -12*(-12)\/(-24))*14\/(-3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 10*j - 5. Suppose 5*f - 2*f = 24. Calculate the remainder when n(f) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 79576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7204426164?\nAnswer: 2, 3, 13, 31, 496583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*y = y + 48, -y = 0. Let o = x + -32. Suppose -o - 16 = -s. Is 22 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 16*p**2. Let a be s(-16). Factor -2 + 6*r - 5*r**2 + a*r**3 + 2*r**3 - 3*r**2 + 2*r**2.\nAnswer: 2*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*g + 223*g = 50*g - 3848 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(964\/483 + -2). Suppose u = c + 20*c. Calculate the greatest common factor of 69 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/3)\/((-8)\/(-24)). Suppose -3*n = -5*z, -3*z - r*z + 20 = n. Solve 4*f = -2*o + 4, 3*f + n*o - 18 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*z + 57134 = 235*z. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 823818.9 centuries to millennia.\nAnswer: 82381.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggrrgggg. What is prob of picking 2 r?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from hjnjjjjjjddhcjjhj.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3604222 is divided by 720843.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170 by 85.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3128122?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2)*-1*21\/(-140)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n - 2. Let l(b) be the third derivative of -b**4\/3 + b**3\/3 + b**2 - 500*b - 1. Give 3*g(f) + 4*l(f).\nAnswer: -11*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 897 in 15.9, 0.4, 412?\nAnswer: 412","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 898472 * -70.3\nAnswer: -63162581.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984353?\nAnswer: 984353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 4*l**2 + 444*l + 2716. Give c(-6).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/154 and (8 - (-6441)\/(-532))*(-24)\/260?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - h. Let t(w) = 3*w**2 + 2*w + 2. Give -4*j(q) - t(q).\nAnswer: q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 + -60. Calculate the remainder when y + -1 + 1 + -2 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 2. Suppose -6 = -12*d + 13*d. Let x be q(d). Calculate the highest common factor of 85 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(20) + sqrt(5) - sqrt(5)))**2 + 2 + sqrt(5)*-2.\nAnswer: -10*sqrt(5) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8531306 divided by -14?\nAnswer: -609379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 - 12 - -1 - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 1:13 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -56*l**3 - l**2 + 10*l - 15. Let w(v) = 11*v**3 - 2*v + 3. Give 2*a(r) + 11*w(r).\nAnswer: 9*r**3 - 2*r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/374 and -71\/32538.\nAnswer: 32538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -6. Suppose -4*n + 2*x = -4, -7*n - x - 2 = -4*n. Let p = 4 - n. Solve t + p*g = -4*t - 36, 2*t + c*g + 28 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m\/(m*m**(-4))*m))*m\/m**(-8)*m**(-4\/7)\/((m*m**(-7\/2))\/m) assuming m is positive.\nAnswer: m**(237\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-18)*(-34425)\/18360?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-12))\/((-280)\/(-480))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, n: 4}. Give prob of sequence nr.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 48\/5 of a decade?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 - -1)\/3 + 0. Let y be 1 + -2 - 12\/p. Suppose -y*z = -4*z + 5*n + 18, -4*n - 22 = -3*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/6*(-9)\/(-24)*2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 w, and 1 a when four letters picked without replacement from awywawaywyywwyy?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -544590, -2178430, -4901518, -8713854, -13615438, -19606270, -26686350?\n\"Answer: -544624*a**2 + 32*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230 and 48806?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((45\/(-54))\/1)\/((-5)\/4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + t - 6. Let q(j) = -j**3 + 13*j**2 - 13*j + 20. Let u be q(12). Suppose t*f + 260 = u*f. What is the highest common divisor of 26 and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = t + 4*b, -4*t - 2 = 5*b + 2. Let o(a) = -28*a - 1. Let n be o(t). Let k = n + -16. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x. Let r = 2 + -1. Suppose -5 = -k - r. Let q(p) = k + 2*p - 4. Determine n(q(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 3 + r**3 - 20 + 9.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -465 by -5.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(4\/(-6))\/(15\/(-45))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 6. Suppose 0 = 4*i - j - 9. Suppose 0 = v - 1 - 1. Solve -v*g = i*g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 48.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 3:49 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -81 and -6?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -15, 81887 in ascending order.\nAnswer: -15, 4, 81887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 0.845077.\nAnswer: 0.845077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.69? (a) -0.2 (b) 0 (c) -1 (d) 1\/1241\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -587*d + 1405*d - 818*d - 2*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 9:04 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 70434 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -921, -3738, -8447, -15048?\n\"Answer: -946*k**2 + 21*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = s - 4*k, 9510 = 3*s + 4*k + 9489 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 6*n**2 - 49*n - 513. Is 64 a factor of k(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 492.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 511979184?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(48))\/sqrt(8) - sqrt(6))\/(sqrt(108) + 1*sqrt(108)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (0 + -1 - 2). Let q(i) = -215002*i - 8. Let p be q(l). What is p rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4005*g**6 + 3904*g**2 wrt g?\nAnswer: -480600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 514055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (6 - -3) + -3. Let u(v) = -40*v - 6359. Let k be u(-159). Sort x, k, -11, 2.\nAnswer: -11, k, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630 = 56*o + 383 + 415 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127854 (base 12) in base 13?\nAnswer: a8271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -13, -50, -121, -232, -389, -598?\nAnswer: -865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 5, 64 in descending order.\nAnswer: 74, 64, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/2)\/(1\/12*6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18109108 is divided by 146?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(24)\/sqrt(6)) + sqrt(12)\/sqrt(4)*-6.\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**5\/60 + 13*k**4\/24 + 5*k**3\/3 - k**2 + 100*k. Calculate v(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.54 times -97.7?\nAnswer: -541.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 333*h + 3777. Determine o(-12).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12074*d**3 - 48316*d**3 + 12075*d**3 + 12078*d**3 + 12075*d**3.\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 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: Suppose -5*h + 10 = -5. Let w be (-3)\/(h + -2 - 2). Solve 0 = -0*i + w*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*r = -114 - 54, 0 = 3*x - 4*r - 171. Calculate the remainder when 92 is divided by x.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 14*p = 164, -2*v - 798*p + 793*p + 200 = 0. Suppose -5*l + 22 = -188. Calculate the remainder when v is divided by l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**8\/120960 - q**7\/30240 - q**6\/720 + 11*q**5\/30 + 28*q**2. Let b(v) be the third derivative of o(v). Factor b(f).\nAnswer: (f - 3)*(f + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 342.4 + -341.9. Which is the biggest value? (a) 0 (b) 3\/19 (c) z (d) 0.3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 smaller than 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-15))\/(3\/((-9)\/(-22)))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 376, 419, -2\/3, -5, 1\/8, 5 in descending order.\nAnswer: 419, 376, 5, 1\/8, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 329.7786 millilitres in litres?\nAnswer: 0.3297786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 - (-68 - -78) - 89.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192876347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1549548mg in micrograms?\nAnswer: 154.9548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 + -5.09. Which is the second biggest value? (a) v (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - v + 3*v - 5*v)*(2*v - 3*v**2 - 2*v) to n*v + x*v**2 + a + z*v**3 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 7 = -2*v, -10 = 4*u - v - 29 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3048009149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -271100200 divided by 7175\nAnswer: -37784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**5\/30 - 23*a**4\/24 + 17*a**3\/2 + 2*a**2. Let k be d(22). Calculate the greatest common factor of 57 and k.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y. Suppose y = 6*g - 6 - 6. Let 4\/3*d + 10\/3*d**g + 2\/3*d**3 - 10\/3*d**4 + 0 - 2*d**5 = 0. What is d?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-48)\/32*30\/9).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, t: 1, q: 1, o: 5, c: 3}. Give prob of picking 1 o, 2 c, and 1 t.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/3 + 3670*t**3\/3 - 801204*t**2 + 676962248*t\/3 - 69833487664\/3.\nAnswer: -2*(t - 761)*(t - 358)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 105125 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3414117?\nAnswer: 3, 7, 162577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 436 and 248464628?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*k + 101*k - 45*k - 1 + (-5 + 2 + 1)*(-3*k + 4*k - 2*k) to the form o + a*k and give a.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 10:43 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/9 in -0.2, 1\/4, 0.4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from {l: 4, r: 3, n: 13}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 50 = 5*p, 4*j + 2*p = -3*p + 38. What is the remainder when 46 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 550157362\/31 - 11874599712543\/669104. Let g = j - 18\/1349. What is the common denominator of -63\/4 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 5*g - 20. What is x(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1721009.\nAnswer: 1721009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*g - 18. Suppose 0 = q - 4*n + g - 12, 0 = -3*q - 3*n + 69. Calculate the lowest common multiple of 4 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**2 + m**2 - m**2)*(-134*m**2 + 194*m**2 + 397*m**2 - 2) in the form q*m**4 + a*m + b*m**3 + l*m**2 + y and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7141.39 years in centuries?\nAnswer: 71.4139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24592, -49184, -73776, -98368, -122960?\n\"Answer: -24592*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujmu. What is prob of sequence jmu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29012 - -208073. Let d = f - 237109.0006. Let g = 24 + d. Round g to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 2\/((-4)\/10). Let w(l) = -l**3 + l**2 - 3*l + 2. Let d be w(1). What is the second smallest value in p, -3, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 30*y**2 + 230*y - 1969. Give g(9).\nAnswer: 3260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -b + 9, -91*f + 193*f + 19 = 3*b + 106*f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*z + 30*z - 1674490 + 1670850 = 0 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 4:01 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 12 - 54. Suppose -158*v + 179*v - 693 = 0. What is the highest common divisor of v and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus -2589?\nAnswer: -2595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 56, -6 in increasing order.\nAnswer: -6, 4, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 - a**2 + 1. Let b be v(-1). Suppose 17 = l + b. Let u(j) = j**3 + 4*j**2 + 3*j + 1. Let g be u(-3). Solve 4*d - g = l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14007853?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**10\/75600 + r**8\/8400 - r**6\/1800 - r**4\/6 + 2*r. Let d(i) be the third derivative of k(i). Factor d(n).\nAnswer: -2*n*(n - 1)**2*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, -21, -63, -151, -303, -537, -871, -1323?\n\"Answer: -3*h**3 + 4*h**2 - 5*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4100.34 - 4142. Let o = z + 41. Let f = 0.6600127 + o. What is f rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 + 46*k**2 - 15*k - 47. Calculate the remainder when z(-23) is divided by 91.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 437 + -4?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h + 1. Let j(g) = -4*g - 1. Suppose -2*i - 7 = 3*r, 3*r + 2 = i + 10. What is i*j(y) - 7*n(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -44, -49, -54?\n\"Answer: -5*r - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 362933861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 110*l**2 + 7366*l - 268.\nAnswer: 2*(l + 67)*(55*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcttxtttcccxttb. Give prob of sequence cbc.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*h + 119*h = 7 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -126 (base 14) to base 11\nAnswer: -19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/14, 1.1, 4, 0.7452 in decreasing order.\nAnswer: 4, 1.1, 0.7452, -3\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 639 - 1111. Let y = 472.4 + r. Sort 0.04, -4, y, 3\/5 in ascending order.\nAnswer: -4, 0.04, y, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) 2\/3 (c) -2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 93 - 2?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -20 + 2 + -3 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 291, 286, 285, 288, 295, 306, 321?\n\"Answer: 2*x**2 - 11*x + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + (sqrt(450)\/(sqrt(10)*-4 - sqrt(10)))**2 - (sqrt(5) - (5 + 3 + sqrt(5)) - (sqrt(5)*-1 + -3)**2)).\nAnswer: 6*sqrt(5) + 139\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 + 8)*(1928 + 12*v - 1928)*(v - v - 2*v**3).\nAnswer: -216*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03343 to three dps.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -34. What is the remainder when (1 + 2 - 1) + 68 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -55*d**2 + 420*d + 11. Determine p(3).\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -4\/7, -5.6, 0.01, 0.2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 0)*(-1 - c + 1) + 4*c - 2*c + 3*c)*(-25 - 39 + 61 - 3*c).\nAnswer: -21*c**2 - 21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.97797 - 0.98. What is y rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15406 (base 9) to base 15\nAnswer: 31c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1300) + -2)**2 + -2 + (sqrt(13) - sqrt(13)*2)).\nAnswer: -205*sqrt(13) + 6510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 18*k**2 - 2083*k + 45170. What is t(29)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 36*j**2 - 29*j - 29. Let f be b(-1). Find the common denominator of 131\/260 and (-121)\/110 - f\/4.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.81 + -0.01. Let s be 52\/6 - (-2)\/(-3). Let m be 4*(-2)\/s + 10\/6. Which is the second biggest value? (a) v (b) 0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/7)*(m\/(m*m*m*m*m\/((m*m**(3\/5))\/m)))\/m)\/(m**(-2\/7)\/m**(-1\/11)))**(19\/2) assuming m is positive.\nAnswer: m**(-13813\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5 = 13. What is the second derivative of n*w**2 + 2*w - w - 7*w wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 2887?\nAnswer: -2891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 4 - 4)*(5 - 7 - 13) + 3*o + 3*o + 11*o + 3*o - 5*o - o + (o + 2 - 2)*(-1 - 2 + 1) + 0*o - 2*o + o - 7 + 5*o + 7 to f + h*o and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*k - 30*k + 13*k)*(-4 + 2 + 1)*(-13 + 0 - 7) as h*k + o and give h.\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 135*f**2 + 2162*f + 30. What is x(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 2:48 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q - 436*q - 343*q + 4452 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -38 + 45\/2*o**2 + 2*o + 5\/3*o**3. Let n be y(-11). Calculate the greatest common factor of 28 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1343379.\nAnswer: 3, 447793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -7*v**3 - 2*v**2 - 4*v + 17. Is f(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (4 + -15 + 9 + -18)) + -3\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/14 + 203931\/147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i*z**3 - i*z**2 - 34*i + 66894*z**3 + 8*z**2 - 3061244*z wrt z?\nAnswer: -18*i*z - 2*i + 401364*z + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + p - 2*p)*(0 - p + 0) + (3 - 3 + p)*(4*p + p - 3*p) + (-2 - 2*p + 2)*(3*p - 3*p + p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 28722029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnl when three letters picked without replacement from nnfnlffflnfnlnnnlnn.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**3 + 3*g**3 - 2*g**3 - g**3 - g**3 - 3*g**3 - 2*g**3 + g**3 + 2*g**3 + (-2*g + 2*g - 2*g**2)*(5*g + 3*g - 6*g) + 0*g + 0*g + 2*g**3.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64 + 62)*(-2)\/(-26).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c3b2 (base 14) in base 9?\nAnswer: -51163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4146571 - -2484840. Let y = s - -3761731. What is y rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08549381 rounded to 4 decimal places?\nAnswer: -0.0855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**6\/120 + w**4\/24 + w**3\/3 + w**2. Let p be c(2). Let n be 1*p\/((-4)\/3). Is n < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 u when three letters picked without replacement from {u: 16, z: 1, d: 1}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 417 divide 112529589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -84, -163, -240, -315, -388, -459, -528?\n\"Answer: a**2 - 82*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a factor of 2236891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -808461, -808460, -808459?\nAnswer: -808458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - (-23)\/(-7)) + (-404)\/1820. Let p = 8347\/16185 + x. Is p greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41.2 - 41. Is h greater than or equal to 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 4*a**2 + 4*a + 466. Let z(s) = -6*s**3 - 22*s**2 + 21*s + 2329. Determine -11*v(u) + 2*z(u).\nAnswer: -u**3 - 2*u - 468","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 110511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**3*s)\/s*s)\/s)**(-1\/22)*((s\/((s\/(s*s**(2\/3)*s))\/s*s))\/s*s*s*s)**(-13\/3) assuming s is positive.\nAnswer: s**(-2020\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.1 + -96?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2302 divided by -1.\nAnswer: 2302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 + 5*n**2 - 5*n - 18. Let s(u) = u**3 + 2*u**2 - 2*u - 9. Give 2*c(g) - 5*s(g).\nAnswer: -g**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -8) + 4 + (-9 - 1) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 - z + 1. What are the prime factors of h(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, -2, -5, 0.3 in descending order.\nAnswer: 0.3, 0, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 96475 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0629442 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 426*m**3*s**2*y + 5*m**3*s**2 + m**3*y**2 + m**2*s*y**2 - 4*m*s**2*y**2 - 10*m*s**2*y - 4*m*s**2 + 10*m*s*y**2 wrt m.\nAnswer: 2556*s**2*y + 30*s**2 + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 10:41 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a micrometer in nanometers?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 4\/15*n**6 + 4 + 0*n**3 + 65\/2*n**2 + 1\/10*n**5 + 1\/12*n**4 + n. Find the third derivative of k(y) wrt y.\nAnswer: 192*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/5, 1\/16, -3565, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1162\/166 + 6\/4*4\/(-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*g*w + c**2*w - 2*c**2 + 107*c*w - 1075*g + 12*w + 2 wrt w.\nAnswer: -c**2*g + c**2 + 107*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 8 = m + 2*x, -3*m + x + 4 = 0. Let a be 1 - (-1 + m + 0). What is the second derivative of -a*d - 2*d + 3*d - d**5 wrt d?\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17, 41, 89, 167, 281, 437?\n\"Answer: w**3 + 6*w**2 - w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/73 - -85\/438. Suppose -i - 3*r + 9 = -2*i, -2*r = -6. Let q be (-9)\/24*(-2)\/3. Sort i, q, n.\nAnswer: i, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -695*b**3*y - 17*b**3 + b**2*y - 5*b**2 + 56*b*y + 15*b - 54*y wrt b?\nAnswer: -4170*b*y - 102*b + 2*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i - 195 = -2487 + 267. What is the greatest common divisor of i and 2575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5088890*x**2 - 4*x + 2. Let f be y(3). Round f to the nearest 1000000.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*f - 473*f - 5985 = 0 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = -7*z + 19*z. Suppose -22*s = -z*s. Solve s = -0*h - h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.03, 3, -57, -87, 51 in ascending order.\nAnswer: -87, -57, -4, 0.03, 3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16275466 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: Suppose -32*j + 0*j = 14*j - 8188. What are the prime factors of j?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92587 is divided by 4018?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1326.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -491552 and -0.9.\nAnswer: 442396.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -90, -5, -115, 3.\nAnswer: -115, -90, -5, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(180)*-2 - sqrt(180))**2 - (4 + sqrt(180) + 1)**2) + 1.\nAnswer: -60*sqrt(5) + 1418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314318517*f**2 - 314318517*f**2 - 48*f**3.\nAnswer: -48*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a. Let i be (-5)\/((-1)\/(-18) + 1\/(-3)). Suppose i*n = -12 + 30. What is the remainder when b(2) is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-732)\/13 - (1 + (1 - 6)). Let u = l + 27161\/520. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - m - 4*m)*(-11 + 23 - 48)*(2*m - m + 0*m)*(-2 + 2 + 2) in the form w*m + p + a*m**2 and give a.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**2*g + 2*c**2*u**2 + 3*c**2*u - c*g*u**2 + 5*c*u + 2*g*u wrt c.\nAnswer: -12*g + 4*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - -56661?\nAnswer: 60004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rryj when four letters picked without replacement from jjjjjyryryjjjjaayaja?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 3*p**5\/5 - p**4\/2 - 119*p**3 - 5634*p**2 - 11278. Find the second derivative of r(q) wrt q.\nAnswer: 36*q**2 - 12*q - 714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v. Let y(u) = 623*u - 3. Give b(y(z)).\nAnswer: -1246*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(5\/4)\/(m*m**(-5)*m))\/((m**(1\/19)\/m*m)\/(m*m**(1\/4))))**(2\/21) assuming m is positive.\nAnswer: m**(69\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -6499.\nAnswer: -6498.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y + 1\/30*y**5 + y**2 - 1\/40*y**6 + 0 + 0*y**3 - 23\/8*y**4. Find the second derivative of m(q) wrt q.\nAnswer: -18*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3889 - 5088 = 47*w. Which is bigger: w or -194?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1760 + 1772. Solve 4*o + 4*g = -k, -o - 2*g = -5*o - 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*j + 181 = -147. Let n(a) = 4*a. Let u(o) = 13*o. Give j*u(i) + 12*n(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743 = 54*z + 1201 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2578906 divided by -1289453\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38167888 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 101011100101110?\nAnswer: -101011100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23941586, 47883156, 71824726?\n\"Answer: 23941570*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 351705, 703467, 1055229, 1406991, 1758753, 2110515?\n\"Answer: 351762*r - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h. Let u(m) = -2*m**2 - 3*m - 208. Let i(o) = -6*o**2 - 8*o - 615. Let x(q) = 3*i(q) - 8*u(q). What is b(x(r))?\nAnswer: 10*r**2 + 905","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**3 - 7*x**2 - 3*x - 1. Let g(r) = -3*r**3 + 5*r**2 + 2*r + 1. Determine -3*g(u) - 2*k(u).\nAnswer: u**3 - u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -16. Let z = 10375\/3 - 3258. Let q = z + -201. What is the nearest to -1 in m, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (398 - 389) + -4 + 53 - -4.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34.3 - 36.3. Sort 0.2, 2\/15, 2\/13, k in increasing order.\nAnswer: k, 2\/15, 2\/13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + 0.2. Let t = -2.814 - 0.186. Let g = 137 - 133. What is the biggest value in g, f, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/(425\/(-16575))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*v - 16. What is the hundreds digit of 1\/v - 4179\/(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/2093*58\/(-145).\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s - 62. Let r(b) = 5*b - 60. Give -3*r(z) + 2*v(z).\nAnswer: -3*z + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*y + u + 30, 20 = -2*y - 2*u. Let f(p) = -p**3 - 6*p**2 - 4*p + 10. Let t be f(y). Solve 0*s - t*s + 15 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -10) + (42 - 48).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 20?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 = 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)*-4 - (2 + 0 + sqrt(7) + sqrt(7)) - (-3 + sqrt(252)).\nAnswer: -20*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 f when three letters picked without replacement from {f: 1, p: 3}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/6)\/(6\/9). Let t(v) be the second derivative of -v**3\/6 + v**2 - 52*v + 9. Let s(x) be the first derivative of x**2 - 2*x + 1. Give h*t(c) + 3*s(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485678418.\nAnswer: 2, 3, 19, 97, 167, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1664)\/(-48)*3\/10)\/((-4)\/(-4780))?\nAnswer: 2, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 23\/8 of a millennium?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*j - 361 - 657, 4*x + 5*j - 818 = 0. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 145751, 145676, 145601, 145526?\n\"Answer: -75*f + 145826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 19*g + 81. Determine x(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5310 or 5312?\nAnswer: 5310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1591488524 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/(-28) + -1 - 0. Let g = 0.0289 + 11.9711. What is the closest to g in -2\/9, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10808.\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/8 of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 33. What is j(-2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 1, r: 1, c: 1, g: 1}. What is prob of picking 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2266 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 490.6 + -448. Let u = 43.6 - l. Which is the closest to u? (a) -4 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 355*l**2 + 99*l**2 + 92*l**2.\nAnswer: -164*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6073, 9827, 13581?\nAnswer: 17335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -16*x - 8. Determine q(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62974*i + 3*u = 62976*i + 42, -5*u = -3*i - 2*i - 75 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -27. Suppose -5*u - q = -69. Let p(t) = -t**3 + 14*t**2 - 17*t - 12. What is the tens digit of p(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47436 = 5*u + 3*b, 5*u = b + 66058 - 18610. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2334903209 and 5.19.\nAnswer: -2334903203.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*d + 5*j, 2*d = 6*d + j - 1. Let w be ((-6)\/2420*2)\/(459\/(-306)). Which is smaller: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/((p\/(p**18*p))\/p*p))**(-6)*(p**(-21))**(2\/45) assuming p is positive.\nAnswer: p**(-1814\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i - 2*i + i + (-4 + 2 + 4)*(-2*i + 1 - 1) - 1 + 1 - 2*i + i + 0*i + 0*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11\/110)\/((-49)\/294). Let m = 3 + -5. What is the fourth biggest value in m, x, 0.9, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**21\/(l*l*l**(-9)))\/((l\/l**(-2\/59))\/(l\/l**(-25))))**(-30) assuming l is positive.\nAnswer: l**(-93750\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1149 (base 10) to base 14.\nAnswer: 5c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 279 - 1875. Let x be 28500\/t*(-4)\/2*5. Factor -40\/7*a**3 - 300\/7*a**2 - 2\/7*a**4 - x - 1000\/7*a.\nAnswer: -2*(a + 5)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*o**4 - 52*o**3 - 104*o**2 - 32*o.\nAnswer: 4*o*(o - 4)*(o + 1)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/4))\/z)**(-10\/7)\/(z\/z**6*z\/z**(1\/2))*(z*z\/z**(1\/7)*z\/z**4*z*z)\/((z*z\/z**(-1\/8))\/z**(-6)) assuming z is positive.\nAnswer: z**(-25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.048 times 17896476\nAnswer: -859030.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 2327?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 118*h + 986. Let u be y(-9). Let c(z) be the first derivative of 6\/5*z**u - 4*z**2 + 7\/2*z**4 + 19 + 0*z**3 + 0*z. Factor c(p).\nAnswer: 2*p*(p + 1)*(p + 2)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**3 + 88*s**2 - 16 + 4 - 88*s**2 with respect to s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3 - 2*k + k**2 - 4*k**2 + 2*k**2. Let r be z(-3). Suppose 5*p - 115 + 30 = r. Calculate the remainder when p is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6179700610 to the power of 1\/2, to the nearest integer?\nAnswer: 78611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1279*v = 1332*v - 318 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -16. Let b = x + -1. Let m(u) = -u**2 - 9*u - 10. Give m(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w**4 - 29*w**4 + 56*w**4 + (3*w**2 + 0*w**2 - w**2)*(0*w + 0*w - 4*w**2) + (-3*w**3 + 4*w**3 + w**3)*(0*w - 2*w - 4*w)*(3 - 4 + 2).\nAnswer: 13*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (0 + (0 - -6)). Let p = -15.67 + -0.33. Let c = p + 13. Sort 0.1, s, c.\nAnswer: s, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o + 21. Let i(v) be the first derivative of 13*v**2\/2 - 87*v + 237. Let j(g) = 4*i(g) + 18*q(g). Let x(u) = -3*u. Calculate j(x(m)).\nAnswer: 6*m + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-888)\/(-12432))\/((-2)\/(-35))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 6 (c) 3 (d) -0.4 (e) 1\/6 (f) 0.136\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2863479.\nAnswer: 3, 971, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*x - 4*k - 616, -5*k + 588 = 2*x. What are the prime factors of x?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 5466.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16720*f**3 + 8365*f**3 + 8356*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 5*p - 1. Let q be s(4). Let c(y) = y + 1 + y**q + 4*y - 6*y - 3. Let x be c(2). Solve -4*g = -x, u - 2*g - 1 = g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -85, -79, -73, -67, -61?\n\"Answer: 6*j - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -2810.1.\nAnswer: -2810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7134 + 5464643\/766. Is -1 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-156)*-4*(-51)\/4\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 24 = -18. Let h = y + 9. Let a(f) be the third derivative of -f**4\/24 + 5*f**3\/6 - 4*f**2 - 17*f. Calculate a(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -5*u**7\/42 + 2*u**6\/3 - 3*u**5\/4 - 5*u**4\/3 + 10*u**3\/3 + 20*u. Let z(v) = 0. What is v?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 345, 1362, 3057, 5430?\n\"Answer: 339*k**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -24*t - 31. Is c(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 21136885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -5*a**7\/42 - 34*a**6\/3 - 133*a**5\/4 - 55*a**4\/2 - 3*a - 11. Determine j so that o(j) = 0.\nAnswer: -66, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 260*a**2*l + 6650847*a**2 - 222*a*l - l wrt l.\nAnswer: 260*a**2 - 222*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 954264 (base 14) to base 8\nAnswer: 23173360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 11:28 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111020010201 (base 3) to base 15.\nAnswer: -109914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15105403+-4\nAnswer: 15105399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -971 (b) 4 (c) -4 (d) -1\/8 (e) -217 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 10 = 4. Suppose k + 2 + p = 0. Put k, -26, -5 in decreasing order.\nAnswer: k, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 119.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 10 - 0. Suppose -c - t + 4 = 0, 4*b + 2*c = 25204. Round b to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 348996 times -53\nAnswer: -18496788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/2 and (-2)\/(-24)*(-66)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 788501*t. Let l(u) = 2*u. Give s(l(o)).\nAnswer: 1577002*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 2*l**2 + l + 1. Let v(a) = -12*a**3 - 19*a**2 + 7*a + 8. Give 9*j(u) - v(u).\nAnswer: 3*u**3 + u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10050 + -6240. What are the prime factors of r?\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 3. Let i be q(0). Let r be (i\/4)\/((-3)\/324). Suppose -y + 32 = 4*u, -2*u - 4*y + 7*y + 30 = 0. Calculate the greatest common divisor of r and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q - 3. Let y be r(0). Is ((-61)\/(-3))\/(y\/(-63)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-14)*(-142)\/852?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9264 divided by -2316\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 2*j**2 + j - 1. Let g(c) = 212*c**4 - 6*c**3 - 12*c**2 + 179*c - 6. Let h(d) = -g(d) + 6*p(d). What is the second derivative of h(s) wrt s?\nAnswer: -2544*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + (sqrt(720) + 2 + sqrt(720))**2 + 0)*5.\nAnswer: 480*sqrt(5) + 14420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2824484083 to the power of 1\/2, to the nearest integer?\nAnswer: 53146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide (-2)\/9 + (3008\/9 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - 13*z**2 - 9*z - 2. Give k(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 - 981*f**2 - 4852*f - 17. Give y(-5).\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 11 - 20 + 4 - 24616*j)*(-5 - 8 + 3) to d + w*j and give w.\nAnswer: 246160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13050, -13058, -13068, -13080, -13094, -13110, -13128?\n\"Answer: -q**2 - 5*q - 13044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 148*n**3\/3 + 3*n**2\/2 + 896*n + 694. What is the derivative of t(f) wrt f?\nAnswer: 296*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 194 - 7*y - 383 + 172. Calculate r(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101647430 or -101647434?\nAnswer: -101647434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q - 29*q**3 - q**2 - 3 + 0 + 30*q**3. Calculate y(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 11 = 3*u, -3*u + 6*u = -9. Which is the second biggest value? (a) 24 (b) r (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -269*b + 9. What are the prime factors of q(-3)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 12:50 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -168.55 - -177. Let t = 1.35 - n. Let y = 2.1 + t. Which is the second smallest value? (a) -4 (b) 0.4 (c) y (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3. Let k = 121 - 1088\/9. Is k at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66.02 + 68. Let v = -0.02 - s. Let k = 0.076 - -0.024. Which is the second smallest value? (a) v (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-9 + 6 - (-1 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/5 + 72*f**2\/5 + 432*f\/5.\nAnswer: 3*f*(f + 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 585476 or 585468?\nAnswer: 585476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfzzrswzqqqqzr. What is prob of sequence fz?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(154))\/sqrt(11))\/(-2*sqrt(7)*1).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*h - 16. Let m(u) = -2*u**2 + 37. Let v(x) = -3*x**2 + 37. Let j(f) = h*m(f) - 3*v(f). Is j(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 13) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45962 - 45962.0000024167. Round u to 7 decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - 13\/8*-1. Which is the biggest value? (a) p (b) 5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45 + -1?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 101*p**2 - 1780*p - 161. Is 12 a factor of v(76)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u - 8 = 4*t, -4*u + 4 = 3*t. Suppose 4 = -2*l, 5*v + 3*l - u*l - 117 = 0. Calculate the highest common factor of 92 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 divided by 6?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -665 - -1809. Let w be f\/32 - 1\/(-4). What is the highest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, o: 3, n: 5}. What is prob of sequence loo?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -43*q - 27 - 134 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*y**2 - 3)*(2 - 2*y - 2)*(2*y + 3*y - 4*y).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-8))\/(4 - (-140)\/(-32)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-169)\/(-39))\/13)\/(3\/(-45)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -9*a**3 + 7*a**2 - 3*a - 3. Let y(g) = 18*g**3 - 14*g**2 + 7*g + 7. Let q(t) = -7*p(t) - 3*y(t). Find the third derivative of q(s) wrt s.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = d + 5*w + 731, 5*d = 3*w + 1245. Let f = -236 + d. What is the remainder when f is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h*h**0))\/(h*h**(-6)\/h))\/(((h*h*h**2)\/h)\/h)**40)\/((h**2\/h)**(-2\/7)*((h*h*h**7)\/h)\/((h\/(h**(-2\/3)\/h))\/h)) assuming h is positive.\nAnswer: h**(-1702\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 944*0.005259\nAnswer: 4.964496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/7475608 and -29\/8.\nAnswer: 7475608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04065 rounded to 3 decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 8 = 2*s, -b + 14 = -5*s. Suppose 2*w = -3*k - 3*w + 286, -5*w = -10. Let a be (b - k)\/(-4) - 2. Solve 4*l = -h + a, -h + 40 = 4*h + 5*l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -0.5 (c) -6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73170*l**2 + 73170*l**2 + 73325*l**2 - 219663*l**2 + 2*l - l.\nAnswer: 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from {p: 1, q: 3, y: 1, x: 1, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399679 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13138897 is divided by 282.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -142087\/34 or -4180?\nAnswer: -142087\/34","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d - 210 = -2*t - 3*t, -148 = -330*t + 326*t - 8*d for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (211 - 206 - (17 + 0)) + -1 + -12.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 89 in 1\/3, -6\/11, 15, -0.086?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 909 = 5*w, b - 2*w - 595 = 308. Suppose 0 = -2*v - 4*h + 1790, h - b = -v - 2*h. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -s - 4*s + 16, 0 = -5*u - s + 20. Suppose 0*q - 4*y - 10 = -q, u*y = 5*q - 18. Solve -q*t - t = -9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 59?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4419 and 55483?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4 - 4*v + 10 - 2*v + 9*v. Let m be w(-4). Suppose 80 = 4*g - m*j, -5*j - 80 = -4*g - 7*j. What is the least common multiple of g and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (4*(sqrt(1377) + -3) + sqrt(1377) + -2)**2)*6*-4.\nAnswer: -830880 + 30240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95237.4 months to centuries.\nAnswer: 79.3645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -120, -6, 1\/211, -0.03 in increasing order.\nAnswer: -120, -6, -0.03, 1\/211, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5002 is divided by 680.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/6, 448\/3, 628\/39 in descending order.\nAnswer: 448\/3, 628\/39, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 10 = 5*n. Let u be -8 + 8 + n\/(-2). Suppose 56 = u*p + 11. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 302005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.554 take away 1206?\nAnswer: -971.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/17)\/d)\/(d*((d*d\/(d\/(d**(2\/11)\/d*d)))\/d*d)\/d) assuming d is positive.\nAnswer: d**(-375\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2225 divided by 1?\nAnswer: 2225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**6\/1080 - x**5\/360 + 2*x**3 + 8. Let n(f) be the third derivative of l(f). Factor n(c).\nAnswer: c*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -761 = 11*i - 3940. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 11891969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24682 divided by -7.\nAnswer: -3526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**3*p**2 - 96*o**3*p - 90*o**3 + 451*o**2*p**2 - o**2 + 12*o*p - 23*p**2 wrt p.\nAnswer: -4*o**3 + 902*o**2 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 m, and 1 a when four letters picked without replacement from mmlqllaacaa?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709663?\nAnswer: 709663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9915797?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 9:33 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73949 + 1.98.\nAnswer: 73950.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*k**2 - 51*k**2 - 15*k**3 - 2 + 20*k**2 - 3*k**3 to m + a*k**3 + b*k**2 + j*k and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 7:13 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-35))\/3 - 12\/(-20).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7\/(35\/23570))\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5529394400 to the nearest one million.\nAnswer: 5529000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/((u\/(u\/u**5)*u)\/u)))\/(u*u\/u**(-8\/7)))\/((u*u**(5\/4))\/(u*u**(-5)))*(u**(-14)\/(u\/u**1))**45 assuming u is positive.\nAnswer: u**(-17735\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -1 + 0*a + 0*a**3 - 31*a**2 + 1\/24*a**4. Let k be (-3 + -1)\/(-2) + 3. Let c(b) = 4*b - 3. What is k*p(s) - c(s)?\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8001.389 tonnes?\nAnswer: 8001389000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.2 (c) -1\/630\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*q**3*t + 15*q**2*t - 31*q - t wrt q?\nAnswer: -54*q*t + 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -167*f**2 + 8*f + 11. Let q(x) = 209*x**2 - 8*x - 12. Let b(w) = -5*j(w) - 4*q(w). Let m = 6 + -12. Determine b(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*r + 1 + 2*r - 4 + 4 + (5 + 1 - 5)*(2*r - 1 + 1) - 2*r + 5*r - 4*r - 2*r + 2*r - 3*r + (1 - 1 - 2)*(-4*r - 3*r + 3*r).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1044, -1273, -1650, -2175, -2848, -3669?\n\"Answer: -74*p**2 - 7*p - 963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 14*d**3 - 81. Let n(o) = -3*o - 5*o + 17*o - 12*o. Give n(p(l)).\nAnswer: -126*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2015 is divided by 727?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6828*f + 13429*f - 6419*f.\nAnswer: 182*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -334*p - 1394 wrt p?\nAnswer: -334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*(f\/f**4)\/f))\/f)**(-22) assuming f is positive.\nAnswer: f**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 590430*f**3*n + f**2*n - f*n + 726*f wrt f?\nAnswer: 3542580*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + -211012212010?\nAnswer: -211012211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -472 divided by -23?\nAnswer: 472\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (104 - -1) + 1. Suppose s + 327 = 4*n. Suppose 3*h - n = -3*x, -4*x + 84 = -2*h - 54. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + a = -28. Let z = a + -5. Let h(q) = 0*q**z + q + 6*q**3 + 4 + 4*q**2 - 5*q**3. Give h(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 9*l**2 + 174*l + 360.\nAnswer: -3*(l - 10)*(l + 3)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75*v**2 + 85*v**2 - 537*v + 3 + 306*v**2 + 107*v + 77*v**2 wrt v?\nAnswer: 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37167838, -74335678, -111503518?\nAnswer: -148671358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/c**(-4)))\/c)\/c**(-5))**1\/(c**(2\/15)\/(c\/(c**(1\/3)\/c))*(c**0)**(-23)) assuming c is positive.\nAnswer: c**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 189 + -186. Suppose 4*o = 4*k - z*k - 93, 5*o - 590 = -5*k. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 6*z + (-z - 3*z + 2*z)*(-49 - 1 - 72) + (1 - 1 - 1 + (-1 - 2 + 4)*(3 - 2 + 1) - 5 + 1 + 5)*(4 - 4 + 6*z).\nAnswer: 250*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwizwiuwwiwiwz. Give prob of picking 1 w and 1 z.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 945 - 940. Solve 11 = 3*a + s, -2*s - 6 = -r*s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6499 rounded to the nearest one hundred?\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219.961079 rounded to the nearest ten?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -174.17 + 174.130492. What is a rounded to 3 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymm when three letters picked without replacement from {c: 1, y: 2, m: 11}?\nAnswer: 55\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1\/2 (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -21132000 to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 7. Suppose -6 = -5*t + 3*t. Let g = t + 2. Let k be u(g). Solve -18 = -4*l - k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600 = -3815*l + 3935*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 21. Solve -c*u - 4 = 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-21 + (-10 - -22))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34853\/5 + 7030. Let k = d - 2833\/45. Find the common denominator of 34\/33 and k.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -4 (b) 1\/15 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 32*o - 6. Let u(n) = -21*n + 4. Determine 7*u(q) + 5*x(q).\nAnswer: 13*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59735*c**2*s**3 - c**2 + s**2 + 247 wrt s.\nAnswer: -358410*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 11*n - 6. Let w(o) = 15*o - 10. Let h(f) = -23*f + 15. Let i(a) = 5*h(a) + 7*w(a). Give -6*i(x) - 5*y(x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 3951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73943*v**3 - 667906*v**2?\nAnswer: 443658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -9*v + 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 244281 a multiple of 321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 2*d = -2, d + 4 - 3 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 244*f**2 - 12*f + 106. Let g(u) = 734*u**2 - 35*u + 300. Give -17*d(z) + 6*g(z).\nAnswer: 256*z**2 - 6*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9105 (base 15) to base 3.\nAnswer: -1112222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2795579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 117, 212, 333, 480, 653?\nAnswer: 852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from kdkfkdfko.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/100*5*-318 - (161\/(-14) + 12)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 0.130979?\nAnswer: -5.130979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 27*d**3 + 6*d**2 - 7*d + 18. Let w be t(-7). What is w rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -624, -939, -1268, -1617, -1992?\nAnswer: -2399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100562*q**4 + 2*q**3 + 794*q**2 + q - 407047184?\nAnswer: -1206744*q**2 + 12*q + 1588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 11*a**4\/4 - 20*a + 19. Differentiate f(u) wrt u.\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2 - 2 - 3 + 8*m + 1. What are the prime factors of o(2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(27\/381) - (-8)\/(-16). Let w = 127\/3 + j. Which is the closest to 0? (a) -1\/5 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(-20)\/1224 + 6 + (-371)\/63?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33862135 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 1, j: 5, p: 2}. What is prob of picking 1 o and 1 p?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 7*w - 6. Let h(k) = -k**3 + 9*k**2 - 3*k - 28. Calculate the lowest common multiple of h(8) and c(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -11*q**4 + 4*q**3 + 4*q + 27. Let g = 43 - 42. Let a(h) = -h**4 - h**3 - h + 1. Let n(o) = g*v(o) + 4*a(o). What is the derivative of n(f) wrt f?\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475455121.\nAnswer: 71, 379, 17669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1574 or 1576?\nAnswer: 1576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/(((((y\/((y\/y**3)\/y*y))\/y)\/y)\/y)\/y))**(-2\/29) assuming y is positive.\nAnswer: y**(-10\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r, -b = -5*r + 4 + 1. Let j(h) be the third derivative of -h**5\/60 - 5*h**3\/6 - 2*h**2. Give j(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bablgbiab. What is prob of picking 1 i, 1 g, and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 5*g - 31)*(-5 + 6 - 3)*(-2 + 4 - 3)*(-43 + 11*g + 43).\nAnswer: 110*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 4326?\nAnswer: 8652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 380 - 378. Suppose 26120 = d*t + w + 10706, -15418 = -2*t - 3*w. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*l - 2*r, -5*l = 3*r + 2*r - 5. Suppose -l*w = -2*z - 828, 4*w - 1665 = -2*z - 3*z. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 18052026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -71d8d (base 15) to base 5\nAnswer: -43021213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 18 = -3*y, -4*k - 7 = 2*y - 27 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 28*x**2 + 5268*x + 11160 = 0.\nAnswer: -186, -15\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.87 in 0.3, 31\/3, 0, 0.5, 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -5*n - 3. Let u be 4 - 108\/(0 - n). Let r = u + -38. Solve r*t = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, -844, -15\/11, -46, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7157*o*r**2 + 76222164*o + 1077*r**3 with respect to r.\nAnswer: -14314*o*r + 3231*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1756662 + -3?\nAnswer: 1756659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013430162 to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10823 - -10822.986526. Round b to 4 decimal places.\nAnswer: -0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t + 16 = -88. Calculate the least common multiple of t and 173.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-2 - -2) - (-419 + 13). What is the tens digit of (4 + (-39)\/12)*g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 34?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 42519, 42521, 42523?\n\"Answer: 2*j + 42517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1067 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a. Let z(u) = 226*u + 62. Let b(n) = 227*n + 93. Let y(s) = -2*b(s) + 3*z(s). Calculate i(y(t)).\nAnswer: -448*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - 13)*2\/10. Let f = -5.7 + 6.3. Let u = -0.7 + f. Put r, 2, 1, u in decreasing order.\nAnswer: 2, 1, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-25) + 18\/10. Let x be (-10)\/(-6) - u\/(-6). What is the third derivative of y**5 + 2*y**2 - 3*y**x + y**5 wrt y?\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmsn. Give prob of picking 1 n and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/2*(48\/6)\/40.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*v**2 + 204*v**2 - 97*v**2 - 239843*v + 239843*v.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000144456 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 684*p + 63005. Calculate x(-110).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1096*l + 60268. Calculate t(-55).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-8*6\/12)\/(2\/(-3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -8*m**3\/3 + 39. Let o be x(-3). Let i = 146 + o. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2 + 2)*(20 - 2 - 13) - 1855 + 1855 - 459*v.\nAnswer: -454*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + ((-13)\/39)\/(8\/54).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 35*u - 265. Calculate a(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 93, 0.05, -1\/6?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-6 - 0)\/3. Let h(r) = -r**z + 2*r + 4 - 7 - 9*r. Let w be h(-6). Solve w*y = 8*y + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15, 19, -1, -57, -161?\n\"Answer: -2*z**3 + 18*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*i**2*p - 2*i**2 + 26*i - 3*p**2 wrt p?\nAnswer: -38*i**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -3*s**4\/4 - s. Suppose -4*b - 56 = -64. Let y(w) = b*w**2 - 2960*w + 2960*w. Calculate y(t(n)).\nAnswer: 162*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.18*103.\nAnswer: -121.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5993 + -5994. Put 3, -10, u in ascending order.\nAnswer: -10, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -20. Let f(i) = i**y - i + 0*i**2 + 9*i - 9. Let a be f(6). What is the greatest common divisor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 596 and 544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/3 + 70*z**4\/3 - 466*z**3\/3 - 262*z**2\/3 + 1820*z = 0. What is z?\nAnswer: -3, 0, 5, 7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 - 0.07. Let z = n - -0.03. Let i be 1 - (-1 + (7 - 2)). Put -2\/3, i, z in increasing order.\nAnswer: i, -2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47419774529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Let x = 0.502 - 0.057. Let j = x + -0.045. What is the smallest value in 3, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 713312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -42. Solve 3 = -3*j + s*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**4 + 3 - 5 + 0*i**4 + (0*i - i + 0*i)*(13*i**3 + 0*i**3 + 37*i**3).\nAnswer: -47*i**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -12. Let q(v) = -v - j*v + 4*v. Let z(b) = -8*b**2. What is z(q(l))?\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*t. Solve h - 6*h - 3*a + 34 = 0, -a + 3 = t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w + 293650 - 293650.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l. Let n(c) = 7*c. Determine 5*i(g) - 6*n(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 4*s**2 - 2*s - 2. Let c be h(3). Let v be (1\/(-21) + (-1)\/(-3))*14. What is the closest to c in 0.3, v, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2612 + -2616. Let y = 29\/46 + -3\/23. What is the nearest to y in -0.2, 2.31, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16040.502 - -0.9.\nAnswer: -16039.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*f + 64. Solve 35 = 5*a + 5*y, f = 5*a - 5*y + 26 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 + 44. List the prime factors of 8 - 6 - (90\/m)\/1.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 2*a - 5. Let d be 12\/10*20\/6. Let x be o(d). Find the first derivative of -14*j + 14*j + x + 5*j**2 wrt j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgtvxtxvxrxv. What is prob of picking 1 g, 1 r, and 2 x?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/11)\/y*y**(1\/2))**(15\/4)*(y\/y**0)**(-8)\/(y**1)**(10\/7) assuming y is positive.\nAnswer: y**(-6543\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 - 85 + 26*f**2 + 162 + 14*f**2 - 64*f**2 + 13*f**2.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/5)*c)\/c)**(-39)\/(((c\/(c*c**(2\/19)))\/c)\/(c\/(c\/c**9))) assuming c is positive.\nAnswer: c**(-522\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 50, 52, 36, -4, -74, -180, -328?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27a4a61 (base 11) to base 13.\nAnswer: ccb649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 280220148?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2322)\/1935*(-15)\/(-6)*(18 + -1).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-340)\/50)\/(116\/145).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 91*i - 538. Give d(-97).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 65\/24*y**4 + 5\/2*y**3 - 4 + 7*y**2 + 1\/3*y**5 + 0*y. What is s in q(s) = 0?\nAnswer: -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066519200 a multiple of 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 10:14 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*h + 3*m + 43, m = -2*h + 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18470 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2346 is divided by 71?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/(-120) - -41*7\/(-1435)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(684) + -2)**2 - sqrt(684).\nAnswer: -30*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**4 + 4*l**3 - 184*l**2 + 46454 wrt l.\nAnswer: -4*l**3 + 12*l**2 - 368*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - 2*k + 0*k)*(-1 + 1 + k**2 + (0*k - 4*k + 3*k)*(-1 - 2*k + 1) + 3*k**2 - 5*k**2 + k**2) as w*k**3 + o*k**2 + g*k + b and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 15 = 0, -3*s + 2*y = -5*s + 16. What is the derivative of -s + 4 + 2 + x**3 wrt x?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -466, 120, -3, 1, 17.\nAnswer: -466, -3, 1, 3, 17, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 100 = -x - 3*x, 5*z - 2*x - 266 = 0. What is the remainder when z is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3876 divided by 1292?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 651626 divided by -818\nAnswer: -325813\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a - 8. Let x be (-5 - -1) + 64\/16. Put -3, x, a in increasing order.\nAnswer: a, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 312 divide 1003392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 2. Suppose 3*c - 12 = c. Let i be p(c). Sort 4, i, -1 in descending order.\nAnswer: 4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (3 - 5)) + 3 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 - 1 = -23*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -4771\nAnswer: 5\/4771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*c**2 + 1333*c**2 - 333*c**2 - 123*c - 335*c**2 - 329*c**2.\nAnswer: 2*c**2 - 123*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12580480 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*k**4\/7 + 1656*k**3\/7 - 3891*k**2\/7 + 234*k - 192\/7 = 0 for k.\nAnswer: 1\/4, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5224153 (base 8) to base 10\nAnswer: -1386603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**4\/12 + 287*d**2. Let n(y) = 659*y. Calculate n(m(v)).\nAnswer: 1318*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -16 + 96 + 335*x**2 + x**3 - 377*x**2 + 115*x. Let q be b(39). Solve 2*c + 2 = -2*n, 5 = -q*n - 3*c - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186464440 divided by 4661611?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 + 7*o**2 - 12 - 2*o - o**2.\nAnswer: 3*o**2 - 2*o - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/3*(-18)\/3. Let u(n) = n**3 + 8*n**2 + 7*n + 7. Let j be u(-6). Let x = l + j. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1328 is divided by 420?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10103 = 4*v, -8*g + 5*g - 5*v = -6084. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 7:05 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 6*y - 38 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = n. Suppose 2*t + n*t = 72. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7149 and 10608?\nAnswer: 25278864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -7. Let x(r) = -r**3 - 3*r**2 + 4. Is x(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/66 and -95\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xtgoxxxxg.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 8. Suppose -8 = -r*j + 4*j - 4*g, 0 = -4*j - 4*g. Let v = 0.1 - 0.3. Which is the closest to j? (a) v (b) -4\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 86 (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.18, -118, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*v**3 - 23*v**3 + 5 + 7*v**3 - v + 10*v**3 to the form y*v**2 + g*v**3 + h + t*v and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*j + 315*j - 147*j = -1176 for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 70\/(-22) - 10\/55\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02016 - 0.048. Round d to three decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.9*-1968450\nAnswer: -31298355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 - 2.2. Let t = -1 - b. Which is greater: t or 1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 + -40. What is the remainder when 81 is divided by t?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(475) + 2).\nAnswer: 8 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4\/q*q\/(q*q**(-2)))**(3\/5))**(-33) assuming q is positive.\nAnswer: q**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*i = -4. Let t(j) = -4*j**2 + j**i + 2*j**2 + 3*j**2. Let q(d) = -3*d. Determine t(q(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8624899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -627*n - 1250. Let f be x(-2). Solve m - 7 = -4*t + f*m, -3*t + 2*m = -6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + z + 9 = 1, -u + 3*z + 13 = 0. Suppose -d - 4 - u = 0. Let q(k) = k**2 - 2*k. Let b be q(3). Sort d, b, -3 in ascending order.\nAnswer: d, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900)*-3*-2)\/(-4*(sqrt(300) - (-3*sqrt(300) - sqrt(300)))).\nAnswer: -3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -3) + -17 + -10 + 2 + 4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - 2*d + 0*d)*(0 - 2 + 0) + 0*d + 0*d - 3*d - 19 + 19 + 3*d + 2*d + d - 2*d + d + d + d as k + c*d and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1518.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -259577 or -259574?\nAnswer: -259574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from uwussussuu?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62776577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1154\/143 + 228694\/23023. Let s = j - 33\/23. Are -1.5 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 466272?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 409 (base 15) to base 10\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3252 - -3262. Solve 0 = 2*g - z, -1 - 13 = -4*d - 2*g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 + 76\/10)*-6*5. Suppose -133*l + i = -130*l. Solve -3*s + 28 = l*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**5 - 6*t**2. Let v(w) = 6*w**5 + 49*w**4 + 12*w**3 - 70*w**2. Let d(x) = g(x) - v(x). Solve d(k) = 0 for k.\nAnswer: -16, -4\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33920 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/653 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -195 in -0.01, 0.3, 196?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -626565, -1253127, -1879689, -2506251, -3132813?\nAnswer: -3759375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.013, -3, 115, 0.3, 0.5 in descending order.\nAnswer: 115, 0.5, 0.3, 0.013, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 - 92 - 27)*(-4 - 277*g + 4 - 279*g + 199*g) to q + x*g and give x.\nAnswer: 48909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1020 = 5*v + o + 299, 0 = 5*v - 5*o - 715. Suppose 5*u - 136 - v = 0. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16867713?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.32 - 0.18. What is the smallest value in -4, -3, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1643563 is divided by 233.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-288)\/80)\/((-6)\/(-15)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 16*i + 6. Let h(d) = -11*d - 4. Let b = 621 - 628. Give b*h(f) - 5*w(f).\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*v = -0 + 4, -2*c + v = -3. Suppose -c*x = -0*x - 72. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 366\/84*43*980\/(-3010).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*i - 102. Suppose 5*c = -4*j + i, 6*c - 36 = 2*c - 2*j. Let u be 6\/(-4)*(-6)\/c. Which is greater: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3 = 0, -4*f + 547*c - 543*c + 32 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 64, 146, 262?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*2\/(-5)*1. What is the lowest common multiple of x\/9 - (-266)\/18 and (-76)\/190 - ((-85)\/25 - -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-121)\/(2 - -9) - -4584 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30*(136\/306)\/(10\/9). Solve -4*u - i = -3*g - 5, 4*u - 5*g = -17 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4433.482 millilitres to litres.\nAnswer: 4.433482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*t**5 + 5721*t**4 - 30304*t**2?\nAnswer: 180*t**2 + 137304*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -34. Let p = x - 18. Which is smaller: p or 2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 + 82. Suppose 10 + y = 3*i. Suppose -3*c = 5*g + 13, -4*g = c + 3*c + i. Is -1 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 552*s. Let j(q) = -1830*q. Give c(j(f)).\nAnswer: -1010160*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 4*o**2 + 3*o + 1. Determine p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 7 + 129 = 4*n, x = 4*n - 133. Calculate the remainder when (1 - 2)*(10 + -173) is divided by n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3615036173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**5\/20 - m**4\/3 - m**3 - 2*m**2 - 4*m. What are the prime factors of k(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235 + 245 = -80*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5544.2 - 0.528\nAnswer: 5543.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a60 - 7373?\nAnswer: -9213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 443.8015584 - -2?\nAnswer: 445.8015584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z*z**(-19))))\/z)\/z)**17*(z*z**(-4\/7)*z)**(-4\/11) assuming z is positive.\nAnswer: z**(-26220\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.6 - -3.4. Let i = h - 18. Let t = 1 - i. Which is the second biggest value? (a) -1.2 (b) t (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4596 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*3771.\nAnswer: 60336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-144)\/132*(-15 + 4). Solve 5*l + c = 5, -78*c + r = l - 80*c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14728 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9206187 and 1587.\nAnswer: 1587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3 + (-8)\/(-12). Suppose 4*i - 8 = -2*h, -2*i - 4*h = 2*i - 16. Let c = i - b. Solve q - 5*k + 6 = c, 0*q - 4*q - 2*k = 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -17\/8474?\nAnswer: -17\/8474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 259 - 169. Let i = a + -357\/4. Sort 2\/7, i, 2\/9 in decreasing order.\nAnswer: i, 2\/7, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-608)\/228*((-1)\/(-12) - 0). Put 5, a, 2 in decreasing order.\nAnswer: 5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.1298 - 9. Round x to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**2 - 14*b + 12. Let v(q) = -4*q**2 - 15*q + 13. Let u(x) = -5*f(x) + 4*v(x). What are the prime factors of u(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 8, 28*g + 12 = -4*a + 24*g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 89*x - 17735. Calculate t(-185).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 35702 (base 8) to base 4\nAnswer: 3233002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 0*j**4 + 4*j + 0*j**3 + 1\/210*j**5 + 0 + 1\/420*j**6 + j**2. Let x(y) be the first derivative of d(y). Factor x(k).\nAnswer: 2*k**2*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 42*n**2 + 33*n - 1747. Give g(-40).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1 + 3 = 0. What is the biggest value in 1\/6, p, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 2*m - 22. Suppose 8*z - 426 = -24*z - 39*z. Calculate w(z).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.821 minus 672.7?\nAnswer: -668.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -8 (c) -41\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14431426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*d**2 + d + 0 + 82*d**2 + 0 to i + b*d + r*d**2 and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-5)*5\/(-2). Let v(f) = f**3 - 3*f**2 + 2*f + 3. Let d be v(q). Let w = 40 - d. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 820, 3999, 7178, 10357, 13536, 16715?\n\"Answer: 3179*m - 2359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.98 - 0.3.\nAnswer: 8.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 400150 by 80030.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118630 is divided by 117438.\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0 + 1. Let o(x) = x**3 + 4*x**2 - x - 5. Let m be -2 + -2 - -2 - 0. Let w be o(m). Sort z, 2\/19, w, 1\/9.\nAnswer: 2\/19, 1\/9, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1165274 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k + 3. Let c = -3 - -98. Calculate the remainder when c is divided by z(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34509 + 51472. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 48*z**2 + 46*z + 185. Is r(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n - 2. Let q(y) = y**2 + 7*y - 2. Let g be q(-7). Let v be r(g). Let s = -5 + v. What is the smallest common multiple of 9 and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/8)\/3*(-6)\/(-72)*8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 137928, 137302, 136676, 136050?\n\"Answer: -626*l + 138554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u - 249 = 5*q, 15 = 5*q. Let i = -254 + u. What is the greatest common factor of 80 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1540895*i + 1661117.\nAnswer: -1540895","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**2. Let z be s(-1). Let t(l) = -2*l - 4. Let i be t(z). Solve 0 + 12 = -i*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (2 - 0) + 6 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63577.1 rounded to the nearest one hundred?\nAnswer: 63600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3, -92, -5, 1 in ascending order.\nAnswer: -92, -16, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 514756453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 642 divide 214929916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 + 5 - 3 - 4*l**2 in the form b*l**2 + s*l + m and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 - (0 - -1 - (7 + -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yttduddydyccdsdscds. Give prob of sequence sd.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - 30. Let v be 6\/21*(u - 1). Solve m + 4*i = -2*m - 1, -v*m = 2*i + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -241\/5 + 48. Let k = -1663\/9 - -185. Put 1, j, k in increasing order.\nAnswer: j, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-2)\/(-12)*-2*(-22)\/10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 232*o**3 - 1425*o**3 - 544*o**2 + 544*o**2 - 1242 wrt o.\nAnswer: -3579*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1555337.\nAnswer: 7, 83, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-42)*-3)\/(10\/40).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 1221?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*c = -1229 - 652. Let v = -26 - c. Calculate the greatest common factor of v and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sads when four letters picked without replacement from {a: 2, s: 10, d: 2}.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 27 - 12. Suppose x*w + 3*v = w + 14, -v - 12 = -w. Which is bigger: w or 9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -70855725, -141711450, -212567175, -283422900?\n\"Answer: -70855725*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*5\/(-10) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 69*z**2 - 137*z + 30.\nAnswer: -(z - 15)*(z - 2)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - -100. Suppose -4*l + j = -v, -3*l - 7*v + 75 = -3*v. Let y = -20 + l. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4461 + 4460.775682. Let o = b - 0.075626. Let z = o - -0.3. What is z rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**5\/20 + 11*r**4\/12 + 8*r**3\/3 - 173*r**2\/2 + 2562*r. Give h(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/(-312) - (-70)\/24. Sort -2, 5, 0, b in ascending order.\nAnswer: -2, 0, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3885, -4310, -4735, -5160, -5585, -6010?\nAnswer: -6435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27687546.\nAnswer: 2, 3, 41, 37517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 >= 698\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114*b**5*p + 2*b**5*w**2 + 3*b*p*w**2 + b*p - b*w**2 + 11*p*w wrt b?\nAnswer: -2280*b**3*p + 40*b**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4852 - 4852.1. Which is the biggest value? (a) -0.15 (b) 0 (c) -0.2 (d) v (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.340441 and -7776783.\nAnswer: -7776781.659559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(11)*-1 - sqrt(11)))**2 - 2*sqrt(539).\nAnswer: -14*sqrt(11) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -187\/38?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -0.2, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -201?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 11*u + 10 = 0. Solve -a = u*a + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/9)\/(3 + (-105)\/27)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(y\/y**(5\/3)))))\/y**(-1\/14))\/(y\/(y**5*y))**(15\/4) assuming y is positive.\nAnswer: y**(1721\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 26*j**2 + 5*j + 135. Let x be g(-26). Solve 10 = x*k - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 704 - -12?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*y - 14882 = -10904 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 + 65. Let a = -1.1 - -1. Put q, 2, a in decreasing order.\nAnswer: q, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + 20. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6008113.\nAnswer: 6008113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(931\/21) + 318\/7 - 6\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.9999985 + 11. What is n rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 418800580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from xtyao?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 96248219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**3 + u**2 - 3*u + 4. Let x(b) = -16*b**3 - 3*b**2 + 5*b - 9. Determine 9*j(d) + 4*x(d).\nAnswer: -d**3 - 3*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 2719 + 136 = 0. What are the prime factors of u?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 1 = d, -11 = -d - w + 4*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(468)*-2)**2*-6 + (5 + sqrt(325) - 1*(sqrt(13) - sqrt(117))) + 2.\nAnswer: -179705 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + q**2 + 1. Let c(t) = 7*t**3 - 14*t**2 - 42*t - 2. Let b(l) = c(l) - 6*i(l). List the prime factors of b(22).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 22*l + 5. Let p(j) = -j + 92. Let i(r) = 3*r - 107. Let o(x) = -6*i(x) - 7*p(x). Determine -10*o(s) - 4*z(s).\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -9. Suppose k*z - 16227361 = -5013586. Suppose -5*s + 2*y - 157237 = z, -4*s - 1919996 = -y. Round s to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**3 + 205*x**2 - 563*x + 394. Calculate d(-71).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - 45)*(-6)\/15. Suppose 5*n = 4*t - 47, -3*n + 5*n = -5*t - 32. Let s = q + n. Calculate the remainder when 25 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*f = 11, 4*m - 16 = -0*m - f. Suppose -4*r = -5*t - 2*r + 425, -r - 256 = -m*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*t - 153 = -8, -2*d = -4*t + 50. Suppose -241*k = -243*k - 2*l + 206, 4*k - l = 422. Let s = d + k. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -376.778?\nAnswer: 370.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -55894 times 17?\nAnswer: -950198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.026204561 to 4 dps.\nAnswer: 0.0262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2. Let v(w) = 2*w**2 - 2*w + 1. Let f be v(1). Let i(o) = o + 1 + f - 2. What is q(i(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 141975 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 2*s**2 - s**2)*(-2*s**2 - 6 + 6) + s**4 - s**4 - 14*s**2 - s**4.\nAnswer: s**4 - 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 + 249 - 245*u - 131.\nAnswer: -245*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*b = -2*y - 50, 0 = -4*b + 3*y - 65. Let r be 4\/b - 2\/(-7). Let g be (r - -1) + 4\/2. Solve 4 = v - 5*v, 5*a - g = -2*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 42. Calculate the remainder when w(0) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -680 by 4.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 7) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26339978017 + 26339978160.99999917. Let h = -3.47 - -147.47. Let y = u - h. What is y rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(468) - (-3 + sqrt(468) - sqrt(468))) + 1 - (2 + -5*sqrt(52))**2).\nAnswer: -1301 + 46*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/3 + 151870*x\/3 + 1468357 = 0 for x.\nAnswer: -29, 151899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (192 + -146)*(1 + -1 + 35\/2) and 575.\nAnswer: 4025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40860384 or 40860387?\nAnswer: 40860384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 13*b**2 - 31*b + 14. Let m be p(10). Solve 4*d - 8 + 34 = -2*t, 3*d + 27 = -m*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 3*j - 3. Let t(z) = -z**3 + 5*z**2 + z - 7. Let h be t(5). Let k be g(h). What is the remainder when 2 is divided by (-2 - k) + 7 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4) - 32\/(-128). Suppose 2*o + 6*u = 2*u + 22, 0 = -o + 5*u + 11. Suppose v - 24 = -5*i, -4*v + o = 3*i - 0*i. Solve -z + k*z = -i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3816\/(-18656)*(-104)\/39?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9655 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 0 + 0*q + 10*q**2 - 1\/4*q**4 - 1\/3*q**3. Differentiate h(l) with respect to l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((-2)\/((-4)\/(-2))). Let d(i) = -i**3 + 9*i**2 - 8*i. Let l be d(8). Let x(p) = 3*p + 1. Let r be x(l). Are r and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 6. Calculate the remainder when 25 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) + 1\/(-4). Suppose -5*c + 7*c - 8 = 0. Suppose w = c*i - 6*i + 106. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-18)*u*u*u*u\/(u*(u**(-1\/5)\/u)\/u)*u*u**(-1\/3)*u**(-17)*u assuming u is positive.\nAnswer: u**(-422\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -988 + 1776. Let o = -196 + f. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106460.917 rounded to the nearest 100?\nAnswer: 1106500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11042 is divided by 80.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/5))**(-2\/11))**(3\/7) assuming k is positive.\nAnswer: k**(-6\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*(sqrt(243) + 3*(sqrt(243) + 0) - ((sqrt(243) - sqrt(243)*-2) + -3)) + 1 + 0)**2.\nAnswer: 432*sqrt(3) + 2250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003556675 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + -216?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*n**2 - 5*n**2 + 1 + 10*n - 15*n**2 - 8*n**2 in the form j + d*n**2 + g*n and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(10\/2*(-2)\/15). Let o(z) = 6*z**2 + 2*z - 1. List the prime factors of o(d).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -245*z**3 - 333.\nAnswer: -735*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8821, -39333, -90185, -161377, -252909, -364781?\nAnswer: -496993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-70) + 136\/(-28)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55390991?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -74104714 and -0.4.\nAnswer: 29641885.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 9. Let i be ((-3)\/(-2))\/(6\/(-36)). Let h be s(i). Is h smaller than -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b - 17 - 18*b - b - 7.\nAnswer: -35*b - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113 - -317. Let c = d + 547. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38345966293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 2 (b) 4\/3 (c) -579523 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 35. Suppose 2*c - 4 = u - 0*c, -2*c = 4*u + o. What is the units digit of u - -13 - (-9)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8282930 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.4 (b) -2\/21 (c) 0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 0 + 0*k - 3 + k + 9. Let i be s(5). Suppose i = 5*f - 29. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (159 - 147) + (-11 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5907860 to the nearest 10000.\nAnswer: -5910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 2*x**7\/105 - x**5\/30 + 11*x**3\/2 - 32*x**2 - 68. Let z(j) be the second derivative of w(j). Differentiate z(b) wrt b.\nAnswer: 16*b**3 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1826316 is divided by 22821?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzee when four letters picked without replacement from neeeennnnennegnzn.\nAnswer: 9\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + -2. Let w = z - -0.5. Let f = w - 0. What is the biggest value in -1, f, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from {u: 1, d: 2, o: 4, c: 1, w: 3, i: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 396816197 to the power of 1\/2, to the nearest integer?\nAnswer: 19920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 344365633*a**5 - 6*a**2 - 337324*a - 2?\nAnswer: 20661937980*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65069, 130117, 195113, 260045, 324901, 389669, 454337?\nAnswer: 518893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 3536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 253548 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/2 + 93*c\/8 - 23\/8 = 0. Calculate c.\nAnswer: 1\/4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 4. Suppose -4*s - d = -28, 11*s - t*s + 2*d - 32 = 0. What is the tens digit of ((-145)\/10)\/((-1)\/s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42.934 - 0.966. Let c = -301.3 + 345.3. Let r = z + c. Does 0.5 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/36*(2\/5)\/((-2864)\/59070)\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -5*v - 0*n + 2*n, 15 = -5*n. What is the third derivative of -76*m**2 + 693*m**6 - v*m**2 - 725*m**6 wrt m?\nAnswer: -3840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24874162441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -13. Let o = i - -11.77. What is o rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 5:59 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, w: 2, p: 4, c: 4, r: 2, d: 1}. Give prob of picking 1 t, 2 r, and 1 p.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from qyiyyyyyiqiiyiqqy?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2132 and -155\/42.\nAnswer: 44772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 4. Determine d(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27490 = 10*x - 9*x - 5*j, 0 = 4*j - 12. Let a be 5 + x\/(-147) - 6\/(-63). Calculate the greatest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 0)\/((-2)\/45). Let v be 6\/(-45) + 1002\/q. Suppose 10*o - v = -o. Is -1\/17 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360 and 2805?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 178 = -4*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 441*n + 5594. What is the thousands digit of y(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63173, 252665, 568481, 1010621, 1579085, 2273873, 3094985?\nAnswer: 4042421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -471*g**3 + 2*g**2 - 5*g - 6. Let m be u(-1). Is 2 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 7*z = -5*s + 243710, -z - s = 121848. What is z rounded to the nearest 1000?\nAnswer: -122000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (11 - 6) + 1 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-232)\/480 - 1\/(-12))\/(5\/275)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 v when three letters picked without replacement from vvvjvvvvvvvvvvvvvvvv?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135746282.\nAnswer: 2, 7, 151, 157, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3. Let l be (-6)\/(-18)*((-1)\/(-1) + 5). What is t(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-202)\/10 + (-1 - (-144)\/120).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 10222499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q - 18471 + 36901 - 18430.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8170.\nAnswer: 2, 5, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 + 32*m**2 + 204*m + 4068. Let z be b(-17). Let q = 4.6 - 5. What is the closest to z in -1, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-86 + 86 + 7*j**2)*(1 + j**2 - 1 + (-2 + 2 - 2*j)*(-2*j - j + 4*j)) to the form k*j**3 + q*j + w*j**4 + a*j**2 + r and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-3 + 2) - 24. Let h = -91 - -94. Which is smaller: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 8271585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*n + 5 = -n, 17 = 3*s + 4*n. Suppose s = 5*g + 17, -5*u + 5*g = -20. Let v(r) = u*r**2 - r + r. Let z(x) = -2*x. Determine z(v(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -56*j - 872. Let y be l(-31). What is the greatest common factor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3792741.1 to the nearest 1000.\nAnswer: -3793000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34102.\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25682 is divided by 1268.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 91409 * 0.03\nAnswer: 2742.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**3 - 8*s**2 - 6. Let v be i(-6). What are the prime factors of v\/(-12) + (-3)\/(-6)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -39. Let k(h) = -h**3 + 7*h**2 - 6*h + 7. Let w be k(5). Let n be (-2 + 0)*w\/(-6). Calculate the greatest common divisor of n and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 254493781?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 613851653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54570 and 41088?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q - 90 = 23*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 5*a**2 + 8*a - 9. List the prime factors of j(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, k: 2, b: 2}. Give prob of sequence ww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**4*s))**(9\/2)\/(((s**(-3)\/s)\/s)\/s*s**14))**(-9\/8) assuming s is positive.\nAnswer: s**(117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(128) + sqrt(128) + 1*sqrt(128))**2)*-2 + sqrt(6)\/(sqrt(3) - ((sqrt(3) + 1*sqrt(3))*-6 + sqrt(3)))*-6.\nAnswer: -2308 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-6) + 0)*2. Let a = -4 + 14. Let i be (y + 0)*a\/5. Do 1 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/(1160\/(-150))*27\/((-3888)\/128)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -406733\/9 + 45311. Which is greater: w or 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*v - 5*v**3 - 192*v + 0*v**3 + 3*v**3 - 582.\nAnswer: -2*v**3 - 582","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*x = -0*x - 77, 4*c - 147 = 3*x. Find the common denominator of (-388)\/16 - (-28)\/7 and 20\/(-70)*469\/c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 89?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*i, 4 = 4*j - 4*i - 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.667 + 0.8. Let t = -0.13961 + q. What is t rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*u**3 + 13*u**3 - 10*u**2 - 32*u**3 + 3 - 2*u**4 - 42*u**6 wrt u.\nAnswer: -5040*u**3 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3335.08985 + 3335. What is x rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09059 less than 0?\nAnswer: 0.09059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*l**4 + 476*l**2 - 8351*l?\nAnswer: 192*l**2 + 952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5\/(10\/(-148))*(-33)\/22 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000983 rounded to six dps?\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-9) + 20\/15\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 97 + 27. Let l = s + 67. Suppose 0*z + z - 6 = -3*x, 66 = 5*z - 3*x. Calculate the greatest common factor of z and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*w**2 - 15*w - 3.\nAnswer: -3*(w + 1)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.129, -3.56, 1 in increasing order.\nAnswer: -3.56, -0.5, -0.129, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 4*q - 5. Let c be s(4). Let n be c\/(-2)*-1*-2. Solve 0 = -3*t + 4*o + 8, -n*t - o - 25 = -0*o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(75)\/sqrt(5))\/(sqrt(189)\/sqrt(7) + sqrt(3)).\nAnswer: -5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 1. Let j be 8\/(-12) - n\/6. Solve j*x + x = 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17365 * -67211.\nAnswer: -1167119015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -12)*(5 - 0) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2 and -17\/82942793?\nAnswer: 165885586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1232902 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1897.6 + 1898. Let v = -0.7 + 3.7. Which is the second biggest value? (a) -1 (b) v (c) 4\/3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - d - 99, -2*x + 68 = -2*d + 2. Calculate the remainder when -7 + 99 + 2 + 2 is divided by x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12 and -4621.1024806.\nAnswer: -4609.1024806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/9 in -2\/19, -5, 3, -3\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-2 + -6 - (12 - (8 - -9)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 23194080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-32)\/3)\/(34\/357*-7). Solve -25*x = -29*x - j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 5, -1 in descending order.\nAnswer: 5, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/8)\/(((1558\/(-41))\/228)\/(-2)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 621.1610244 rounded to the nearest 10?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*m**4 - 7282*m**3 - 6*m**2 - 533?\nAnswer: -168*m - 43692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 0.3, 20.\nAnswer: -7, -4, 0.3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -205 + 135. Let z = 177 + h. List the prime factors of z.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -1\/3*f**3 + 0*f + 0 - 1\/15*f**5 + 0*f**4 + 6*f**2. What is the derivative of b(k) wrt k?\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 4*t - 24. Let l be d(-9). Let q be (2 - 54\/l)*(-9 - -2). Which is smaller: q or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30 and 6.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-15)\/20)\/(-3))\/((-1)\/(-16)). Let p(a) = a**3 - 10*a**2 - 9*a - 6. Suppose 33 = 10*q - 7*q. Let n be p(q). Solve m*o + n = -0*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**4 + 16*u**3 - 16*u**3 - u**5)*(2 - 3 - 1).\nAnswer: 2*u**5 - 10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/216 and 59\/22800.\nAnswer: 205200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -5. Suppose -4*q + w = -0*q. Let m(s) = 3 + 2 - 5 - s. Calculate m(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhz when three letters picked without replacement from {b: 1, m: 1, h: 2, p: 12, t: 1, z: 3}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -72 + 48 + (14 + 3 + 6 - 8) + 72\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight ninths of a hour in seconds?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.481709\nAnswer: -0.1926836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 527299002*v**5 + 979976633*v.\nAnswer: 10545980040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5891.83358 - 3?\nAnswer: 5888.83358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-6)\/(-27) - (-4)\/(-18). Suppose 2*l = 5*l + 2*z - 2151, 5*l - x*z = 3604. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 525745147 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67313*u**3 + 73449 wrt u.\nAnswer: -201939*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1071156 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**2 + 12*s**2 - 26*s**2 + 9*s**2 - 5*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*(sqrt(26)\/sqrt(2)*5 - (sqrt(13) + 0 + sqrt(13) + 2 + sqrt(13))))**2 + 2.\nAnswer: -222 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 11*o + 17 = -f, 2*f - 4*o = 26. Suppose f*s - l = -2, 3*l - 7 + 1 = 5*s. Which is smaller: -4\/5 or s?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9268999 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25289 is divided by 25232.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (495\/(-66))\/((5\/(90\/27))\/2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/3430191 and -13\/9.\nAnswer: 10290573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 2*y**2 + y + 1. Let h be k(3). Suppose 2*r - 6 = -g, 3*g + g = 8. Let u = r + h. What is the third biggest value in u, -1\/4, 2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140021 is divided by 712.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 235?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-145 - 145 + 98)*(1 + o - 1)*(0*o + 4*o - 5*o) + 4*o**2 - 1 + 1 + 0*o**2 - 3*o**2 - o**2 in the form w*o**2 + b*o + p and give w.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c = -16. Calculate the remainder when 1005\/12 + (-2)\/c is divided by (-2 + (-126)\/(-12))*2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374774?\nAnswer: 2, 187387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 92*d + 84. Let f(l) = -2*l - 2. Calculate -176*f(v) - 4*x(v).\nAnswer: -16*v + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -n, r = -2*n - 3*n. Suppose 3*u + n*u = 4*k + 244, -5*u = 4*k - 396. Calculate the greatest common divisor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -508 divided by 5.\nAnswer: -508\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 289301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 26*o**2 + 51*o + 71. Let d be q(-24). Which is smaller: -241 or d?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 597678435?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxwx when four letters picked without replacement from {x: 2, w: 2, p: 6, g: 3, v: 2}?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 668\/3*i**2 - 266\/3 - 5\/3*i**3 - 397\/3*i.\nAnswer: -(i - 133)*(i - 1)*(5*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151549545?\nAnswer: 3, 5, 7, 31, 46559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**5 - 48522*g**4 - 145536*g**3 + 48522*g**2 + 145539*g = 0.\nAnswer: -16171, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -82, 4\/3587, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -288, -16820 in descending order.\nAnswer: -4, -5, -288, -16820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 488, 1959, 4412, 7847, 12264?\nAnswer: 17663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -214*s**2 - 1518*s - 77. Give h(-7).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(-70) - (-82)\/20. Suppose 3*r - 2 = 6*r - o*y, -4*r = -3*y - 9. Calculate the remainder when 15 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/539980 and -74\/175.\nAnswer: 2699900","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 3 + 3 - 190*x.\nAnswer: -188*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2665526 is divided by 363?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -25. Let l be 1\/(2\/4)*(-150)\/p. Let a = l + 30. Calculate the highest common factor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 4*m = -9. Factor 18*n**3 + 4*n**2 - m*n**3 + 9*n**4 + 5*n**3.\nAnswer: n**2*(n + 2)*(9*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*p - 5*p + 69 - 12*p)*(-4 + 3 + 2) + (3 + 0 + 0)*(p + 0*p + 0*p) as u*p + x and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (4\/(-42) - ((-42)\/18 - -3)) - 9\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 660*g**6 + 3*g**2 - 152 wrt g.\nAnswer: 79200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 6*u**2 + 4*u + 7. Let p(h) = h**2 - 3*h + 4. Calculate the least common multiple of d(5) and p(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/5 (b) -3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2.8. Let t = 2.2 + j. Let c = 0.2 - 0.5. What is the nearest to -1 in t, c, 4\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2. Let l(a) = -a - 4 + 3 - 1. Let o(c) = c**2 + c - 1. Let m(q) = 2*q**2 + 2*q - 2. Let t(p) = 3*m(p) - 7*o(p). Calculate h*l(v) - t(v).\nAnswer: v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 3 in increasing order.\nAnswer: -8, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 * 28\nAnswer: 3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6*(-144)\/120.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/15*120\/(-36))\/(6\/(-27))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + (-19)\/(-1))*-9. Let y = i + 283. Suppose 3*v + v - y = 0. Solve 5*k = -v + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-85)\/51)\/(((-25)\/6)\/5). Solve 56*l**4 + 4*l + 8 - 4*l**5 - 8 - 64*l**4 + 8*l**c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 184069494 and 26295642?\nAnswer: 184069494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7553 + 0.5.\nAnswer: -7552.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -l - 2*n, -3*l - 4*n + 318 = 269 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 822093839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -177139, -354344, -531549, -708754, -885959, -1063164?\n\"Answer: -177205*l + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 118 and -6.\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 5*p + 8. Let s be (-6)\/(-4)*(65\/15 + 5). Suppose 15*n - s*n + 8 = 0. Calculate j(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 1110759680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01995 + 502.31995. What is v rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 830.4 + -830. What is the fourth smallest value in -4\/7, 2, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x. Let p(k) = 11*k - 1. Calculate p(h(r)).\nAnswer: -66*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6 = 3*j, -6*j + 10 = -2*k - j. Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -826 + 882 = 266*l - 5264 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 21*g - 122. Let p be r(6). Solve 0 = 4*u - d + 11, 3*d = p*u + u + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/752 and 61\/404106.\nAnswer: 3232848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*b - 53*b - 1462. Are -48 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**2 - 2*l - 1. Let k be g(-1). Suppose -x = -16 + k. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 11:33 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*i - 169 = -0*i, -4*v = 3*i - 131. Suppose -8*r - 1400 = -28*r - 50*r. What is the greatest common factor of r and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11587?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.91886 + -0.08114. Which is the closest to 2? (a) q (b) 2\/3333 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037580 minus -1.642?\nAnswer: 1037581.642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -239544, -958190, -2155932, -3832770, -5988704, -8623734, -11737860?\n\"Answer: -239548*q**2 - 2*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 630*v + 1887 with respect to v.\nAnswer: 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 bigger than -1221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 3) + 5 + 2 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 457, 461, 479, 517, 581, 677, 811?\n\"Answer: s**3 + s**2 - 6*s + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108019, 216699, 325379?\nAnswer: 434059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbzz when four letters picked without replacement from bzbzbz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, e: 1, n: 4, q: 2, c: 4}. What is prob of picking 1 p and 2 q?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 - (0\/2)\/(-4) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 47 + 281 = 0. Suppose -a*v + 32*v + 837 = 0. What is the greatest common divisor of v and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43639.65 and -0.071?\nAnswer: -3098.41515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from cjybfbay?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -49*v. Let c be h(4). Let m be 36\/14*c\/(-21). Calculate the greatest common factor of m and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y - 3*b - 2784 = 22*y, 2*b - 1678 = -3*y. Calculate the greatest common factor of y and 450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, 12, 47, 118, 237, 416?\n\"Answer: 2*y**3 - 3*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + t + 82. Let m be u(0). Let o = m - 50. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14818730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a4bc - 1b?\nAnswer: -5a4d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426937 is divided by 866.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4550340 and 200.\nAnswer: 45503400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73.2 + 12.2. Let b = 61.00000105 + k. What is b rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 0*i**4 - 1\/6*i**3 + 3*i**2 + 1\/5*i**5 + 0 + 0*i. What is the derivative of b(z) wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3230339118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*2*(-78)\/(-390)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -2 + -2 + -1015. Let z = k - -2427. Round z to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69008?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.3 - 7. Let u = -4.8 + -0.2. Let k = 55 + -50. Which is the second biggest value? (a) k (b) u (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-20) + (-17210)\/(-50). Suppose -4*o + 1151 = -g. Calculate the greatest common factor of 34 and o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*u + 4*u + 2*u)*(5*u + 0*u - 3*u) - u**2 - u + u + u**2 - 2*u + u**2 - 3*u)*(6 - 2 - 2).\nAnswer: 10*u**2 - 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27\/(-18)*2\/(-3) - -13. Suppose 0 = k*r - 5072 - 6576. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 + 9*o**2 + 13*o + 9. Let p be v(-8). Let n be 2\/5 - p\/5. Suppose -n = -4*i + 3*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.004, -401, 3\/2, 2 in descending order.\nAnswer: 2, 3\/2, 0.1, -0.004, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1414239195.\nAnswer: 3, 5, 94282613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*f + 5. Let s = 1 + -1. Sort s, f, -1\/5 in descending order.\nAnswer: s, -1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from {j: 2, w: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 - 696 - 972 = -269*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3289719092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 3*h = 8*b - 3, -2*b - 6*h = -2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 + 33 = m - 18 + 22 for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 14*l - 57. List the prime factors of g(18).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 2:29 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4156 + -4152. Solve -4*h = 5*z + s, -h - 12 = 7*z - 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 330011?\nAnswer: -330000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3607576 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/3, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 1:17 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((7\/(448\/4))\/(-2))\/((-4)\/8)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0.03348?\nAnswer: -2.96652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21424*l - 9004*l + 37545*l.\nAnswer: 49965*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 369536 by -92384.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 45682*b - 1908. Let i be u(-6). What is i rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4835*g - 1417*g - 112794 = 0 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006286221 rounded to seven decimal places?\nAnswer: 0.0006286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 15 + 155*v**2 - 3.\nAnswer: 155*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(3\/(-6) + -6 + 7). Solve 5*d = 3*d - t + 1, 2*t - c = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(12\/(52 + -64))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -415 + 3325\/8. Is 0 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.32 - -0.26. Let o = l + -0.007. Let w = 0.067027 + o. What is w rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 7*d**2 + 2*d - 17. Let o be v(7). What is the remainder when 12*3 - o*(-7 - -8) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126363 less than 534?\nAnswer: -125829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + -4)\/(4 - (-34)\/(-6)). Solve -6*u - y = -15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 3, -49.946?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -810*p**6 - p**3 + 1364*p**2 wrt p.\nAnswer: -97200*p**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 472003 = -5*o + 471968, -3*g + 4*o = -14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c + 0*c - 10*c + c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 14*x**2 - 21*x + 21. Let h be f(1). Solve 10*a + h = 13*a - 5*j, 0 = -a + 3*j + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 719577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -226, -213, -210, -223, -258?\n\"Answer: -o**3 + o**2 + 17*o - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 331709816*k**3 - 26*k**2 - 4*k + 625254 wrt k?\nAnswer: 1990258896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7751.289l?\nAnswer: 7751289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (640*o - 22*o**2 - 640*o)*(0*o**3 - o**3 + 0*o**3).\nAnswer: 22*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 191*a - 273*a + 318*a + a + 2*a - 2*a + (-a + a + 2*a)*(-3 + 1 + 0) + 0*a + 0*a - a + a - a - 3*a in the form l*a + f and give l.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -11*n**3 - 19*n**2 + 24*n + 55. What is the hundreds digit of l(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -11*a - 1. Let f(v) = -1. Let s(t) = 3*f(t) - q(t). Suppose -8*u - 10*u - 90 = 0. Let j(z) = 5*z - 1. Determine u*j(y) + 2*s(y).\nAnswer: -3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5811 is divided by 1873.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -1)\/((-3)\/(-9)). Let i(n) = n**2 + 10*n + 10. Let b be i(-9). What is the highest common divisor of b and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35226?\nAnswer: 2, 3, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/9 - (-125)\/(-45). Suppose 3*i = -3*i + 24. Let q be (-1 + 5 - 2)*3\/(-27). Which is the closest to g? (a) q (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/1*(-10)\/(-75). Is a greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 - 3. Suppose -b = 2*b + 15. Let f(q) = -3*q**2 + q - 5. Let o(h) = b*n(h) + 3*f(h). Find the second derivative of o(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = m + 41584. Suppose -m = -8*y - 215. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142 + (-2805)\/(-20) + (30\/12)\/((-3)\/(-3))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lql when three letters picked without replacement from {q: 2, l: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**4\/7 + 8*g**3\/7 + 5*g**2\/7 - 2*g = 0.\nAnswer: -7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/9 + 2027884*m\/9 - 514039189682\/9 = 0. What is m?\nAnswer: 506971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233432509?\nAnswer: 43, 5428663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175\/112*((-31702)\/(-1965) - 4\/30).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 7*d + 43, 3*l + 293*d - 292*d - 2 = 0. Sort 2, -14, 14, l in decreasing order.\nAnswer: 14, l, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.15 - 7.15. Let u = 560 - 556. Let v = -0.21 + -0.09. Sort u, f, v in increasing order.\nAnswer: f, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1102441 (base 5) to base 16\nAnswer: -4ab1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 4498.51 (c) 4\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*s - 6*s. Let u = -0.05 + 0.45. Which is the third smallest value? (a) 0 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-98)\/(-10) + (-3)\/(-15). Suppose -12*c = -u*c - 8. Which is smaller: 40\/9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 times -31?\nAnswer: -3224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - j - 1 = 5, 2*j = 4*q + 12. Let a(f) = -6*f**3 - f**2 + 4*f + 3. What is a(q)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83815 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -5*p**7\/42 + 5*p**6\/3 - 6*p**5 + 55*p**4\/6 - 35*p**3\/6 + 12*p - 13. Determine m so that z(m) = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 10. Let b be a(8). What is the remainder when (204\/b)\/(8 - 6) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 231.11 + -235.11. Let c = -1\/94 + -179\/846. What is the third biggest value in c, x, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5742945+-0.2\nAnswer: 5742944.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 66\/2 - (66 + -74).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17226, -34447, -51668, -68889, -86110?\nAnswer: -103331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 3858*o + 83424.\nAnswer: 3*(o + 22)*(o + 1264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 46161 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -84*213)*(-116 + 105) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88\/167 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2480372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 317351099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 824*c + 362*c + 963*c + 423*c.\nAnswer: 2572*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 + 87. Which is bigger: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 1 + 0 + 6*x - x. Determine k(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3114 a factor of 331145874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4124339499 to the nearest one hundred thousand.\nAnswer: -4124300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 158 = -816. What are the prime factors of t?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -491, -493, -495, -497, -499?\n\"Answer: -2*q - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18034951?\nAnswer: 11, 881, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26793*b + 5 - 26793*b - 446*b**2.\nAnswer: -446*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 3*y)*(-409*y**3 - 163*y**3 + 2*y**3) in the form b*y**3 + v*y + x + c*y**2 + t*y**4 and give t.\nAnswer: 1710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2972, 2970, 2966, 2960, 2952, 2942, 2930?\n\"Answer: -w**2 + w + 2972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (10 + 140\/(-15))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-12))\/((-4)\/(-54)). Let x(b) = b**2 - 7*b - 4. Calculate the remainder when 23 is divided by x(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (12 - (29 - (10 + 8 + -22)))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-9\/7))\/(l*l**(11\/2)*l) assuming l is positive.\nAnswer: l**(-73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from ksssskkssskdsdkkks.\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.032849 months in millennia?\nAnswer: 0.00058607075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 52*l**2 - 4*l + 13. Let y(m) = 25*m**2 - 2*m + 8. Determine 4*n(h) - 7*y(h).\nAnswer: 33*h**2 - 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 11*c - 16. Let b(p) = -22*p + 32. Let d(o) = 6*b(o) + 13*f(o). List the prime factors of d(5).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 357 - 319. Which is the second smallest value? (a) -0.2 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**5\/20 + 5*x**4\/12 - 2*x**3\/3 - x**2\/2 + 16*x + 1. What is r(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -32 (b) 2 (c) 1 (d) 0.86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -460 by -5.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -328291*x - 2626328. Determine k(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -11. Suppose 5*u = -3*s + 14, 0*s - d = -5*s + u. Suppose -s*v - v = -16. Solve 25 = -3*p - 5*l, 3 = -v*p + l + 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4 = -4*r + 23, 3*q = -15. Let y = r + -12. Solve 3*u = 3*w + 6, -4*u - w = 4*w + y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.084703 + -0.0843. What is g rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c + 15*c - 3*g + 0 = 6, g = -2*c - 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmbbbocbobbbbbboommb. What is prob of picking 1 b, 1 o, and 1 c?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w - 33*w**2 - 12*w.\nAnswer: -33*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -152*i. Let s(n) = 4*n. Calculate s(k(c)).\nAnswer: -608*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 85593, -2, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3 - 3 - s. Let c(h) = -h**2 + 2*h. Let g(l) = 2*l**2 - 3*l. Let b(m) = 3*c(m) + 2*g(m). Give o(b(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, f: 3}. What is prob of sequence ff?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95241 + -95240. Let d = 20 - 10. Let l(i) = -i**3 + i**2 - i + 3. Let f be l(0). Solve d = -f*h + r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1568, 3122, 4674, 6224, 7772, 9318?\nAnswer: 10862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10, -20, -52, -118, -230?\n\"Answer: -2*w**3 + w**2 + w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -881 times -33235?\nAnswer: 29280035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.97*-91\nAnswer: -88.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkll when four letters picked without replacement from {j: 4, k: 2, l: 3}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/40)\/(403\/248)*806\/1798.\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r + 108 - 1900. Suppose -8*x = -5960 + r. Let l = x - 331. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61248 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (962\/40885)\/(1\/(-10)).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 8*k**2 + 12*k - 10. Calculate m(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 0*g + 3*g - 9 + 3*g + g**2. Let k be w(-7). List the prime factors of (k\/3)\/(6\/(-63)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(75))*-2 + -3 + sqrt(75) + -5 + -5 + sqrt(75)*2 + (sqrt(75) - (sqrt(75) + -1 + 1 + sqrt(75) - sqrt(75))))**2.\nAnswer: -150*sqrt(3) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-78)\/(-24)*18*2. Suppose 4*v + i = -2*b - b, -4*v - 152 = -4*b. Suppose -2*h + h = 34. Which is smaller: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62608201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2152.7 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -17. Solve 4*r = 3*w - 5 - 14, 3*r = -d*w - 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v - 2*v)*(-3*v**2 + 3*v**2 - 4*v**2)*(v**2 + 2*v**2 - 6*v**2) + (-v**2 - 2*v + 2*v - 2*v**3)*(-8*v**2 + 33*v**2 + 10*v**2).\nAnswer: -94*v**5 - 35*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1008) + (sqrt(1008)*-3 - sqrt(1008)) + sqrt(1008) - 4*(-5*sqrt(28)*-3 - sqrt(28)))**2.\nAnswer: -1088*sqrt(7) + 129488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 160\/(-28) + 10\/14 + -1. Let k(f) = f**2 + 8*f - 3. Let p(t) = 4*t**2 + 33*t - 12. Let a(v) = 9*k(v) - 2*p(v). Determine a(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 552, 390, 242, 114, 12, -58?\n\"Answer: m**3 + m**2 - 172*m + 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 6) to base 7\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 598474\nAnswer: -1\/299237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**5\/40 - x**4\/24 - 5*x**3\/12 - 3*x**2\/4 - 25*x. Let b(a) = 0. What is a?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(156)*-1 + sqrt(156)))\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1397\/48 - -209\/48. Calculate the common denominator of 1\/1696 and t.\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*(sqrt(22) - ((-1*sqrt(198))\/sqrt(9) + sqrt(22) + sqrt(22))))\/(sqrt(2592) + -1*sqrt(2592) - sqrt(18)) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3360 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 1:14 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**2 - 9*b**2 + 4039*b**3 - b**2.\nAnswer: 4039*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/19)*g**(-8\/7)\/g*(g\/g**21)\/g**21)**(1\/4) assuming g is positive.\nAnswer: g**(-5591\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*1596068.\nAnswer: 638427.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/5 + 7992*f\/5 - 111104\/5.\nAnswer: -4*(f - 1984)*(f - 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050081823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10996794*b - 11388538 wrt b.\nAnswer: -10996794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12553890428.4 less than 2279?\nAnswer: -12553888149.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2496518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**4\/2 + p**3\/6 + p**2 - p. What are the prime factors of z(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/8 - (-60)\/16. Suppose -t*j + 4 = -0. Let v(f) = -2*f**3 - 3*f**2. Let x(m) = -m**3 - m**2. Determine j*x(i) - v(i).\nAnswer: i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a**2 + a**2 + 15 - 19 as x*a + k + z*a**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 744436 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (3 - (4 + -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**3 - 4*z**2 + 6*z - 1. Let n(h) = -9*h**3 + 8*h**2 - 12*h + 2. Let l(y) = -11*g(y) - 6*n(y). What is l(-6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011 (base 2) to base 9\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 24*b - 117. Suppose -36*i + 4*i + 160 = 0. Let g be s(i). Solve -8 + 17 = -g*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 112080259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00508562 to 5 decimal places.\nAnswer: -0.00509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -11.4?\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 10:35 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-7)\/(-28)*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 368500554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/((t*t**4)\/t)*t)*t))\/(t**(-2)*t))\/(t**0\/(t*t*t**1)) assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18595 and 254010?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 975*h - 1743*h + 2 - 2 to the form c*h + x and give c.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 545778 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v - 535554 = 446768. What is the thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 14*m**2 - 6*m - 15. What is a(-14)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 304063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2772, -11119, -25044, -44547, -69628?\n\"Answer: -2789*f**2 + 20*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13660*2.34\nAnswer: 31964.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/5))**(1\/23)\/(i**(-1))**(-6))**(6\/13) assuming i is positive.\nAnswer: i**(-4128\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41971136 by -6.\nAnswer: -20985568\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.309 - -0.309. Which is smaller: -1015 or q?\nAnswer: -1015","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 2) + -155 + 150 + -24.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1041 - 946.8. Let r = 70 + -157. Let q = k + r. What is q rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/((-240)\/21)*2. Let r be (2\/(-15))\/((-4)\/6). Let u = r - d. Is -1 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49686 less than or equal to 49687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1579 is divided by 152?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -2\/7, 17\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 19*m**3 + 152*m**2 + 2*m - 5. Let j(v) = v**3 - 2*v**2 + v - 1. Let t(y) = h(y) - 5*j(y). What is the third derivative of t(p) wrt p?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 89, 198, 351, 548, 789, 1074?\nAnswer: 1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 (base 5) in base 3?\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 1202*y + 5 + 3604*y - 1192*y - 1189*y.\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 - 12*i - 1. Suppose 3*f + 5*v + 29 = 0, 32*v - 20 = 37*v. Let r be x(f). Let o(u) = -u. What is o(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 797647336 to the nearest integer?\nAnswer: 28243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1316379069.\nAnswer: 3, 146264341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1459*l - 1 + 1 + 1481*l.\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.4 (b) 0.19 (c) -0.5 (d) -2 (e) -0.212\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/2)\/((665\/(-84))\/(-19)). Suppose 3*t - 5 = 3*d + 19, -4*t + 2 = 2*d. Let u(g) = -4*g**2 - 5*g. Let b(r) = -3*r**2 - 4*r. Determine d*u(v) + w*b(v).\nAnswer: 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z = -18*z - 27 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 - 31. Calculate the least common multiple of y and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**2*x - 2*h**2 - 8*h*x**4 - 6*h*x**2 + 907*h + 2 wrt x?\nAnswer: -h**2 - 32*h*x**3 - 12*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 18*s - 1. Let m(j) = 2*j**2 - 4110*j + 7. Calculate -m(c) - 8*p(c).\nAnswer: -2*c**2 + 3966*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6007 + 6137. What is the remainder when 374 is divided by c?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1800 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 510, 500, 478, 438, 374, 280?\n\"Answer: -b**3 - 3*b + 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 12*b - 15*b + 5*b)*(3*b - 4*b + 3*b)*(9*b**2 + 0*b**2 - 2*b**2).\nAnswer: 28*b**4 + 28*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 - 39. Suppose i = 8*z - 43 + 11. Suppose 0 = -5*x + z*x + 124. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sz when two letters picked without replacement from {z: 3, s: 4, c: 9}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29*y**3 + 5*y**3 + 9*y**3)*(-6*y + 2*y + 2*y) to the form f*y**4 + m*y + d*y**2 + j + b*y**3 and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34809, 34846, 34881, 34914, 34945, 34974?\nAnswer: 35001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (14 - 123)\/(-92 - (2 - -2)) and ((-1)\/(-4))\/(5\/(-22)).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-40 - (-65 - -26) - (1 + 10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 12*p**3)*(-5*p - p + 4*p).\nAnswer: 24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 242 - 225. Solve -4 = s*z - 21*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (((-2737)\/28)\/17)\/(2\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 11*n**2 - 11*n - 14. Let o(b) = -7*b + 4. Let r be o(-1). Let l = r - -89. Suppose 7*i = -3*i - l. What is c(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 350*h**3\/3 - 60*h + 24. What is the first derivative of g(z) wrt z?\nAnswer: 700*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 809172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 330*b**3 + 285*b**2 - 65*b + 65. Let p(u) = -30*u**3 - 26*u**2 + 6*u - 6. Let d(r) = -6*h(r) - 65*p(r). What is the third derivative of d(c) wrt c?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b + 3*j - 130 = 0, -5*b + 5*j + 350 = 0. Let i = b + -33. Calculate the highest common factor of i and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c + 12. What is y(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4071, -8046, -12019, -15990, -19959, -23926, -27891?\nAnswer: -31854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -426 divided by 3?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00894 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 23*j - 133. Give y(24).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 95 = -3*w + 4*b, 0 = -2*w - 3*b - 56. Suppose -44 = 2*i + 42. Let d = w - i. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/96 and (7809\/(-126))\/(-19) - 6?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 1:21 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10*(-30)\/(-24). Let p be ((-2)\/(-8))\/((-6)\/(-1400)). Let i = p + -59. What is the closest to d in i, 0.1, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.87 + -15.6. Let d = z + -0.32. Let f = d + 1.1. Which is the nearest to -1? (a) 4 (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 5*k - 5*k - 2*k. Let z(h) = -20*h. Calculate z(t(v)).\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**5\/60 - n**4\/2 + 3*n**3\/2 + 7*n**2 + 2. Determine r(14).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11859894093 plus 11?\nAnswer: -11859894082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -31*q + 1596. What is p(40)?\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 39. Suppose 0 = -13*y + j*y - 5. Let f be ((-1)\/5 + y)\/(3\/(-10)). Solve 0 = f*h - 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b - 5*b - b + 3*b - b**2 wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.184742 weeks?\nAnswer: 111731961600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005025903 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-110 + -8)*(-2)\/4. Let c = 20 + t. Suppose 3*h = -3*j + 66, -19 = 2*j - 2*h - c. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4211 is divided by 162.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**2\/7 + 1104*o\/7 = 0.\nAnswer: -276, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*q + 6, -q + 1 = -2. Let w = 6 + -4. Solve -3*p + n + 19 = 0, -w*n - n = j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/1 - 0) + 17. Let o be (-3)\/6*(3 - 73). Suppose -6*h + o = h. Solve 0 = -h*c - p - 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-35) - (18\/(-14) + 2). Let n = 15.4 + -14. Which is the third biggest value? (a) x (b) 0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3055)\/104 - -38)\/((-7)\/56).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 841\nAnswer: 5\/841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3246 and -103.6.\nAnswer: 336285.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = -6. Let w be ((-18)\/42)\/(r\/8). What is the nearest to 1\/4 in -3, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from {m: 7, e: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edgdezezeeeedgee. What is prob of sequence ee?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 11*d**2\/2 - 4*d + 687. Let m(z) = -12*z + 5. Determine -5*m(j) - 6*u(j).\nAnswer: -6*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 6\/2 + -1. Suppose j = 2*y - y - 59. Let p = 82 - y. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23522 - 33848156\/1439. Let r = a + 1435\/2878. Solve 5\/4*y + 3\/4*y**2 + r = 0 for y.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -433*u - 1026 - 386*u + 1026 as w + l*u and give l.\nAnswer: -819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + (sqrt(432) - ((sqrt(432) - (1*sqrt(432))**2) + 5)))*-2.\nAnswer: -1708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 804, 809, 812, 819, 836, 869, 924?\nAnswer: 1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2756 (base 10) to base 5.\nAnswer: 42011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4328 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -81 - 0?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186588688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 - -7)\/(-3 + 2). Suppose -4*t + 0*t - r = -242, 5*r + 10 = m. Suppose -6 = c - t. What are the prime factors of c?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (143774789\/(-32676))\/2659 - 9\/12*(-14)\/6.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011210112 (base 3) in base 10?\nAnswer: -42863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-28)\/10)\/((-2)\/20). Let b(m) = -9*m - 11. Let z be b(-2). Calculate the greatest common factor of o and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7121 times 1.056?\nAnswer: -0.7519776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6857 is divided by 142.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - u**2 - 3*u - 20082*u**3 + 40163*u**3 - 20066*u**3 as w + x*u**3 + c*u**2 + i*u and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 12*l - 16. Let c be i(-8). Let f be 12\/c + 15\/(-4). Let m(a) = -2*a + 1. Let j be m(f). Solve j = 2*g - 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -630*z - 643*z - 600*z + 1921*z - 2.\nAnswer: 48*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -565814720009 from -2.\nAnswer: 565814720007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2912000 rounded to the nearest one hundred thousand?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5885124 divided by 12.\nAnswer: -490427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.01, -1\/3, -173?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 2*g**3\/15 - 12*g**2\/5 + 64*g\/5 + 4273. Determine x so that o(x) = 0.\nAnswer: 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 0 + 0)*(-158 - 44 - 185).\nAnswer: 774*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -41 + 2058 + -2067.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 7:24 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10957*g**2 - 3*g**3 + 10981*g**2 + g**3 - 32922*g**2 + 12*g**3 + 10984*g**2.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 2*z + 1. Let d = 86 + -88. What is f(d)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -15, -2, 1\/8, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3617471 to the nearest 10000.\nAnswer: 3620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozzoe. What is prob of picking 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1312, -1456, -1668, -1978, -2416, -3012?\n\"Answer: -5*j**3 - 4*j**2 - 97*j - 1206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337008.\nAnswer: 2, 83563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 245370 - 743614\/3. Let t = 2479 + d. Find the common denominator of -25\/18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 - 5*v. Let h(x) = -5*x**2 - 3*x - 14. Let r(n) = -5*n**2 - n - 12. Let o(s) = -6*h(s) + 7*r(s). Determine -9*j(g) - 4*o(g).\nAnswer: -7*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7004402513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o - 7*o + o)*(-5*o - 3*o + 5*o) + (-2*o + o + 4*o)*(4*o + 2*o - 4*o) as z + m*o + b*o**2 and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 339.647482 rounded to two decimal places?\nAnswer: 339.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 87 + 67 = 0. What is the remainder when (-105)\/(-10)*5*(-8)\/d is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14388 - 14384. Let a = 0.2 + 0.3. Let c = a - 4.5. What is the biggest value in c, t, -1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*k - 22, -2 + 24 = 5*s + 3*k. Suppose -2*n - 3 = 3*y + 3*n, s = -2*y + n. Let x be y + 1*6 + -2. Solve -x*w = 2*w + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xunnxq. What is prob of picking 1 n and 1 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*g - 22. Let a(c) = -22*c - 22 + 29 - 110 - 26*c - 86. Let m be a(-4). Put m, -1, g in increasing order.\nAnswer: g, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-12)*42\/4. Which is greater: q or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -3*m**4 - 2*m**2 - 21. What is the second derivative of h(a) wrt a?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.54 (b) 1 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 9*p - 5. Let a = -8 - -3. Calculate w(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1156348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178946 divided by 131.\nAnswer: 1366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102.1 - -107. Let b = q - 5.61. What is b rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1318?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 119663 to the power of 1\/2, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -513*n + 198 = -512*n. What is the remainder when n is divided by 61?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(17) - (1 + sqrt(17)))*-5)**2 + (sqrt(17) - -1*sqrt(1377))**2.\nAnswer: 10*sqrt(17) + 1742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-12))\/((414\/9177)\/(9\/(63\/16))).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*h + 3*n - 11, 5 = -n. Let z be -4 + -3 + 2 + 3 + 3. Let k be (-2)\/(-12) + 3\/(-9). Which is the nearest to z? (a) h (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 81 = 3*u, 0 = -7*j + 2*j - u + 77. Suppose -j = -p - 2. Suppose p = -0*s + s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 384 = -21*y. Let p = 34 - y. What is the greatest common factor of 290 and p?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = l + 7 + 8, z - 3 = -3*l. Suppose -3*f + 21 = -l. What is the common denominator of -131\/12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + t + 0*t. Let b(c) = 18*c + 4. Let q(p) be the second derivative of -p**3\/6 + p**2\/2 - 5*p. Let x(y) = b(y) - 5*q(y). Determine -22*d(r) + 2*x(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3892.3 plus 8637?\nAnswer: 12529.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/v**(-1\/7)*v)**(-6))**(17\/5))**(-2\/93) assuming v is positive.\nAnswer: v**(1496\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h - 1 - h + 3*h)*(2 - 5 - 3) + 2*h - 12 + 12 as u + r*h and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2106*s = 2038*s + 171 - 593 - 1278 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**2*j)\/j))\/j*j**7)\/(j**(-2\/5))**(-3\/40)*((j\/(j*j**8))\/j**(-3\/5))**4 assuming j is positive.\nAnswer: j**(-2463\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/189254043 and -35\/108207?\nAnswer: 189254043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/18)\/((-2)\/(-3)). Suppose 5*w - 15 = 0, -d + 4*w + 11 = w. Let m be (-2)\/(48\/d + -2). Which is the second biggest value? (a) i (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 times -0.0458?\nAnswer: -0.8702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0585 + 0.2.\nAnswer: 0.1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (330\/(210\/(-7)))\/((-1)\/(-3))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-44)\/(-8) - 6)\/((-2)\/20). Suppose 5*j - 3*j + 25 = y*a, -a - 4*j = -5. Solve 0*w - 5*w - 15 = -4*m, -5*m + a*w + 15 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*x**2 - 6 + 43*x + 25*x - 30*x**3 - 22*x = 0 for x.\nAnswer: -3, 1\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q - q**2 + 2*q - 1 + 3. Suppose d + 0*z = -4*z + 25, d - 2*z - 25 = 0. Suppose -c + 5*u - 22 = 0, 0 = -c + 5*c + u + d. Calculate p(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.25 + 0.35. Put 2, -5, q, -0.1 in descending order.\nAnswer: 2, q, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-3*-2 - (sqrt(17) - -5*(sqrt(272) + sqrt(17))) - (-3*(2 + sqrt(833) - sqrt(833)) + -5))**2.\nAnswer: -440*sqrt(17) + 6921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*u + 111744 = -27054 - 106902. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -199*y - 1. Let t be u(-1). What is the highest common divisor of 18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 5*f**2 - 22*f - 199. Determine x(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (-50 - (-5 - 9)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 12*a + 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((-1*sqrt(425) - sqrt(425)) + (sqrt(17) - -2*sqrt(833)))*2)**2.\nAnswer: -60*sqrt(17) + 1709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 246.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 2*z - 176 - 31*z + 28*z + z - 77.\nAnswer: -z**2 - 253","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1 + 1 - 16*k + 15*k. Let r(n) = 1. Suppose -q + 12 = -2*g - 5*q, 16 = -4*q. Let p(v) = -12*v - 18. Let j(s) = g*p(s) + 36*r(s). Calculate u(j(b)).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1472 = 21*p + 34*p + 1252. Let a(u) be the second derivative of -u**2 + 0 - 7*u + 1\/12*u**p - 5\/6*u**3. Determine a(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 690 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 11*t + 8. Let j be l(10). Which is bigger: j or -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 570 + 993. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001255668 rounded to seven dps?\nAnswer: -0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14\/37 + -144\/185. Which is the nearest to g? (a) -3\/4 (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17060\/57 bigger than 299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34\/8 - (76\/(-1406) - 90\/(-296)). Solve m*y - 20*y = -4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -3*r**6\/50 - 93*r**5\/100 - 37*r**4\/20 - 9*r**3\/10 - 303*r + 1. Let u(g) = 0. Calculate g.\nAnswer: -9, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2099 is divided by 191?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.7, 45\/2, 218, -1.8 in increasing order.\nAnswer: -1.8, -1.7, 45\/2, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -1063*r - 49. Is s(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**4\/12 - b**2 + 1. Let s(g) be the second derivative of c(g). Let m(j) = -32 + 74 - 42 - 5*j - j. Determine s(m(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 189326110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 11:27 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l - 129 + 239 - 110. Let j(p) = 180*p. Calculate h(j(d)).\nAnswer: -1080*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -528*i + 601*i - 47815. What is the highest common factor of 4847 and i?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**3 + 25*r**4 + 8*r**3 + 1 - 10*r**3 - r to x*r + s*r**4 + i*r**2 + a*r**3 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/3706254 and -2\/209.\nAnswer: 40768794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 7 = 8. Suppose 4*d + 8 = 12. Let s be q - (0\/(-2))\/d. Calculate the greatest common divisor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1387 = 7*u - 1387 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47945 by 9589.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 10:28 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.33120001 rounded to 3 decimal places?\nAnswer: 26.331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w**3 - 4*w + 0 - 2 - 6*w**2 + w + 3*w**3. Let n be z(-5). Let y = n + 25. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1365712+57\nAnswer: -1365655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -536, -1139, -1838, -2639, -3548?\n\"Answer: -p**3 - 42*p**2 - 470*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/6338058 and 193\/30210.\nAnswer: 31690290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 5*v - 3. Let f be h(3). Suppose 10 = -2*n, -5 = -2*j - 2*j - 3*n. Is f != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 14*j**2 + 5217*j + 15534. What is g(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**5\/30 + 14*l**2. Let o(g) = 24*g. What is o(s(n))?\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1203308 - 1203238.00082. Let q = n - 70. Round q to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60798826?\nAnswer: 2, 11, 2763583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1304 - 563. Suppose 15*t - 2*t = a. Calculate the remainder when t is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from wwesbwwnejbnenbewwe.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*w - 4 = 0, -5*d - w - 8 + 7 = 0. Suppose d*f = f - 51. Suppose 49*q - f*q = 0. Solve q = 3*a + 4 - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(80)\/(sqrt(8)\/sqrt(2)))\/(sqrt(576) + (sqrt(576) - -6*-1*sqrt(576))).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -283 - -186. Let c = 232 + d. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4110267 divided by -3?\nAnswer: -1370089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 9*q**2 - 3*q - 8. Suppose -3*j + 5*b = -0*j - 64, -4*b - 80 = -4*j. What is the remainder when m(8) is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1224 and 25360056?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(13)*6 - (sqrt(1872)*2 + sqrt(1872))**2.\nAnswer: -16848 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -7. Let r be -5*((-13)\/(-5) + a). Solve 5*j + r = -3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -17961551689 and -1.5.\nAnswer: -17961551690.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -213 + 357. What is the highest common divisor of l and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39509196 + -39509206.0000045. Let g = -11.19 + 1.19. Let i = b - g. Round i to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2449 divided by 2?\nAnswer: -2449\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.083 and 2476.9.\nAnswer: -205.5827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53141385.\nAnswer: 3, 5, 11, 19, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**4 + 2*h**3 - 2*h**2 + 18. Let f(k) = 2*k**4 - 3*k**3 + 3*k**2 - 17. Let r(l) = -2*f(l) - 3*y(l). What is the first derivative of r(d) wrt d?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 28741 + 11*v - 28746 + 0*v**3 + 3*v**3 in the form t + b*v**3 + f*v**2 + q*v and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3159970 greater than -3159969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 7)*(-2*j + 2*j - 2*j).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 5:27 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g - 15 = -3*s, -s = 3*g - 5. Suppose -3*o = 15, 0*f - 37 = -4*f + s*o. Find the second derivative of -109 + 109 + 6*m - 5*m**f wrt m.\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2, -0.05, 0.3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + ((-2 + (sqrt(1053) + sqrt(1053) + -5 + sqrt(1053))*-5)*-5)**2) + -5 + -5.\nAnswer: -310500*sqrt(13) + 11872688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*w - 5*n, 2*w - 4*n = 6 + 4. Suppose 5*d = v + 48, 24*v - 10 = 19*v. Find the second derivative of c**3 + d*c + w*c - 18*c wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.9+111521.5\nAnswer: 111518.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88272 is divided by 17651.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) 4 (b) 0.02 (c) -42\/149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - o**2. Let g(v) = 4*v**2 + 17*v**4 - 16*v**2 - 10*v + 8*v**2 - 4*v**3. Let i(s) = -4*c(s) + g(s). Find the second derivative of i(q) wrt q.\nAnswer: 204*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-68)\/(-102) - 2\/3. Suppose h = -14*q + 2145 + 851. List the prime factors of q.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0373 or -10\/523?\nAnswer: -10\/523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28 + 10?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1159 + 396. Sort -3\/5, 4, f in increasing order.\nAnswer: f, -3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2738747.3 and 1749?\nAnswer: 2740496.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -126 - -129. Suppose x*d - 502 = -m - m, 3*m - 498 = -3*d. Let n = 317 - d. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -87 (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 829510.\nAnswer: 2, 5, 11, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -266\/9?\nAnswer: -266\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**2\/2 - 5*n + 5. Let z(w) = -w**3 - 5*w**2 + 15*w + 3. Suppose 6*q - 6 = -48. Let y be z(q). What is a(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 15 = -h + 4*a, 0 = 2*h - 2*a - 6. Solve -5*y = -h*y + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 48 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 divided by -5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 8924?\nAnswer: 98164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552 times -0.01?\nAnswer: -15.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -0.1. Suppose -16*l + 2 = -15*l. Put k, l, -4 in increasing order.\nAnswer: -4, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**7\/7140 + a**6\/3060 - 5*a**3\/6 - 6*a. Let m(g) be the second derivative of x(g). Solve m(u) = 0 for u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 9*d - 4. Solve -4*j - 5*x - 5 = 1, -d*x = -4*j + 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -830, -1683, -2560, -3461?\nAnswer: -4386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9 - (6 - 2 - 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -14 - (-1 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -10*k**3 + 54*k**2 + 2*k + 4. Let g(b) = -6*b**3 + 36*b**2 + b + 3. Give -8*g(f) + 5*i(f).\nAnswer: -2*f**3 - 18*f**2 + 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 + 3*f**3 - 5*f**3 + 6*f**3 + 33.\nAnswer: 4*f**3 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -215215 + 1?\nAnswer: -215214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n**2 - 12*n - 4*n**2 - 15 + 12*n**2 + 2*n + 6*n. Determine w(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkdkkkkkddwk. Give prob of picking 1 w and 1 k.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 19*g**2 - 29*g + 1159. What is the least common multiple of f(-26) and 24?\nAnswer: 53160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 58. Suppose -v*f - 26 = -42. Sort f, -6, 2, -3 in ascending order.\nAnswer: -6, -3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -227*s**5 + 15*s**4 + 533*s**3 + 29*s**2 + 24579 wrt s?\nAnswer: -13620*s**2 + 360*s + 3198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 9, -13?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1514 - 978. Let f = 759 - v. Suppose 0 = 30*s - 29*s - f. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -297*f**2 + 3266*f - 18. Determine n(11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 70 = -78. Suppose 7*m + 192 = -a. Let f = -36 - m. Solve -4 = 2*j + f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 621 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.991 + 6.391. What is the third smallest value in 2, r, 2\/13, -0.6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26152)\/(-17424) - 1*24\/16. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -0.3, -3, -2\/13, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4663237 plus -74?\nAnswer: -4663311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(228) - sqrt(228)*-4))\/((sqrt(72)\/sqrt(3))\/sqrt(2)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -913541438 and 1105.65.\nAnswer: -913540332.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 47254*l + 1181344. What is p(-25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-38764)\/10890 + 32?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**4 - 2*b - 2*b**3 - 4*b**2 + 5*b + 4*b**2 - b - 34 to v*b + w*b**3 + g*b**2 + i + s*b**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 2*g**2 - g**2. Let a(v) = 5*v**2 + 4. Let w(x) = -11*x**2 - 9. Let f(o) = -9*a(o) - 4*w(o). What is l(f(s))?\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 685.14094 rounded to the nearest 10?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/(-32*275)*2\/(-1) and -51\/440?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s = 15*s - a + 8, -15*s = -5*s - a - 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10936395 divided by -9?\nAnswer: 1215155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1137 + 48930. What are the prime factors of k?\nAnswer: 3, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 478165151?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -2\/15 (c) -143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 8\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-2))\/(9\/(-4)). Let l be 36\/48 + 26\/8. Let g be (6 + -3)\/(-1)*l\/(-66). Sort g, z, -5 in increasing order.\nAnswer: -5, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.29 - 2.71. What is the nearest to 1 in 0, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36267, -36271, -36277, -36285, -36295, -36307, -36321?\nAnswer: -36337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 3 + 0*i**3 - 2*i**2 + i**3. Let l be (6\/(-5))\/(8\/(-20)). Suppose k = -l*k. Determine n(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*d - 18. Let b(s) = s**2 - 21*s - 26. Let k be b(24). Suppose -4*h + 2 + k = 0. Calculate the smallest common multiple of d and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(4809*t + 3413*t - 1550*t)*(0 - 1 + 2).\nAnswer: -6672*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 262640 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -637e32 - b?\nAnswer: -637e3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -8*r**2 - 8. Let f(x) = -15*x**2 - 15. Let t(p) = -7*p + 10. Let i be t(3). Calculate i*k(q) + 6*f(q).\nAnswer: -2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -30*f - 15. Let v(c) = 4*c + 3. Let n(u) = -5*v(u) - x(u). Let j(m) = 133*m**2. What is j(n(b))?\nAnswer: 13300*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*z - z + 30, 2*v = 2*z + 24. Let b = v - -6. Suppose w + b = -2*w. Let p(h) = -h**2 - 6*h - 3. Give p(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -143.49405547099.\nAnswer: -142.99405547099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17898, 71583, 161058, 286323, 447378, 644223?\nAnswer: 876858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 7:08 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 12 = 0, -2*l = 4*a - 4591 - 8201. What is a rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**3\/9 - 4*l**2\/3 - 12. Let w(q) = 0. Calculate q.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 - 2*p**2 - 3*p + 3. Let b be w(2). Suppose 0 = b*r + 5*l - 105, 0*l = 2*r - 4*l - 48. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5736 divided by 3?\nAnswer: 1912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence judb when four letters picked without replacement from {u: 2, x: 8, j: 2, b: 1, d: 1}?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -124*a**2*n**3 - 2*a**2*n*w**2 - 231*a**2*w**2 - 2*w**2 wrt n.\nAnswer: -372*a**2*n**2 - 2*a**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 - -49. Let y be (20\/(-175)*-7)\/((-2)\/(-30)). Suppose 0 = 3*v + 3*d - y, 0 = 6*v - 4*v - 5*d - 15. Solve v*s + 8 = -f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 165466828 + 4?\nAnswer: 165466833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 437*n**2 + 707*n**2 + 267*n**2 + 93*n**2 in the form i + d*n**2 + y*n and give d.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2515.8408 seconds to minutes.\nAnswer: 41.93068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 13*n**2 - 9*n + 6. Let l(a) = 9*a**2 - 6*a + 4. Let j(y) = -3*y - 16. Let q be j(-7). Determine q*s(u) - 7*l(u).\nAnswer: 2*u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3\/4, -17, -33, 9, -57?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.2. Let g be (1345\/(-150))\/((-2)\/4) - 0. Let x = -55\/3 + g. Which is the closest to -1? (a) -5 (b) d (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1093*z = 120*z + 4852 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 6987?\nAnswer: 2\/2329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016391974 to 5 dps.\nAnswer: -0.01639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2156*s**5 - 20860*s**4 + 86320*s**3 - 86800*s**2 + 31360*s - 3328 = 0.\nAnswer: -13, 2\/11, 4\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -7*w + 35. Let y(t) = -t**3 + 8*t**2 - 5*t - 7. Let q be y(w). Suppose -i + q + 2 = -3*v, -9 = -4*i + 3*v. Is 1 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4)*16\/(-6). Let r(j) = j**3 + 3*j**2 - 3*j + 4. Let w be r(x). Suppose w = -4*i - h + 42, 4*i - 4*h + 0*h - 32 = 0. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 f when three letters picked without replacement from ffcffffcfffffc.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77951 is divided by 38958.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-28)\/p)\/(p\/p**(2\/5)))\/((p*p**(3\/13))\/p**(-21)))**(-1\/7) assuming p is positive.\nAnswer: p**(3369\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 78. Let n(o) = -2*o + 182. Let l(k) = -3*n(k) + 7*q(k). Let g(s) be the third derivative of 16*s**5\/15 + 11*s**2. Give g(l(j)).\nAnswer: 64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.08, -3, -40398?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + -28?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 231 - 184496?\nAnswer: -184265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(18) + -4*sqrt(72)))\/sqrt(6).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/6, 232, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 6478612.7 to the nearest 100000.\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 8*q**2 - 9*q + 3. Let o be y(9). Let p be 4 - (560\/(-12))\/7*o. Let z = 29 - p. What is the smallest common multiple of 2 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226, 528, 840, 1168, 1518, 1896, 2308?\nAnswer: 2760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one twentieth of a millisecond?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 9*p + 203. What is the lowest common multiple of f(13) and 560?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8e (base 16) to base 8\nAnswer: -216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 291 and 1823115?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -123b?\nAnswer: -1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 - 2*k**5 + 4*k**5 + (3*k**2 - 2*k**2 - 3*k**2)*(2*k - 2*k - k**3) - k**5 - k**5 + 3*k**5.\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/6, -4, -2\/15, 36640, -5 in decreasing order.\nAnswer: 36640, 4, -2\/15, -1\/6, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 567, 1, 325 in increasing order.\nAnswer: 1, 325, 567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85 - 43) + -38 - (104\/(-11))\/(-2).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/167, 0.03, 0.2, -0.3, 20, 2, 9\/62?\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -13 - 55. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -488*x**2 + 4*x. Let q(s) = -89*s + 8. Calculate q(z(g)).\nAnswer: 43432*g**2 - 356*g + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-2)*(-16)\/60. Let a = -10457 + 10457.1. What is the closest to -0.2 in a, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13687291 - -0.0323.\nAnswer: -0.10457291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 14*l. Let t be x(4). Suppose -14 = -3*c + 22. Let u be ((-112)\/(-21))\/(8\/c). What is the greatest common factor of u and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2396283?\nAnswer: 3, 167, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -3326.\nAnswer: 3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/140)\/(((-2)\/13)\/((-572)\/1859)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f + 3*f**4)*(-5 + 5 - 2*f + (-3 + 6 - 1)*(-2*f - 2*f + 5*f) - f + 3*f - f).\nAnswer: 3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6278721 is divided by 617.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 3*v**2 - 4*v - 2. Let b be m(-2). Suppose -b = h - 2*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83.976 + -0.024. Let i = b + 83.6. What is the biggest value in 1\/5, i, -3\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12915 + 12919. Suppose 5*d = -i + 426 + 176, 3*d - 354 = 3*i. What is the lowest common multiple of h and d?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(112\/(-55)) + 4)\/(22\/231)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 826420723 rounded to the nearest one million?\nAnswer: 826000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 4 - 1) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -885 (base 11) to base 15.\nAnswer: -4ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 537069768?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**5*g)\/g*(g**(-9)\/g)\/g)\/((g\/(g\/(g*g**(-7\/5))))\/(g\/(g**(-7)\/g))))**(-3\/5) assuming g is positive.\nAnswer: g**(-51\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2\/(-8) + (-211878879)\/(-3004)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 4*u - 17, -34 = -5*q - 4*u + 3*u. Suppose 38 = 5*l - q. Let r(y) = -y**3 - 9*y**2 + 9*y. Let b(p) = 2*p**2 - 2*p. Determine l*b(i) + 2*r(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 874395.4 kilograms?\nAnswer: 874395400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19*-1)\/((2700\/45)\/(-60)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 33. Calculate the remainder when z is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/70*((-5)\/6)\/(-5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96 - -15) + -37 - (12 + -1 + 3).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(-3 - 49\/(-14)). Solve -4*b + 3 = i, -4*i + 2 - 4 = a*b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 82 = 46. Sort 3, m, -10, -4, -3 in ascending order.\nAnswer: -10, -4, -3, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 640*k = 110*k - 18020 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8313 divided by -163\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/40223045 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*s + 5*w, 3*s - 5 = -w - w. Suppose -11 - 1 = s*o. What are the prime factors of o + 3 + 3*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*a - 15, -50*a + 45*a + 5*d = -35. Solve -a*z + 13 = -x + 22, 3*z - 5*x = -17 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/21 + 11\/(2772\/102).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/5 - (-118)\/10. Suppose v = 2*y + y. Differentiate -3*g + 0*g + y*g - 1 wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 3, x: 5}. Give prob of picking 2 x.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i = 24*i - 1645. Is 11 a factor of -3 - (5 + i\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 51*s**5\/10 + 480*s**2 + 6*s + 1. Find the first derivative of n(c) wrt c.\nAnswer: 306*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.022 or -11997?\nAnswer: -11997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5)\/(a**(2\/5)\/a*a))\/(a**(-7)\/(a\/(a\/((a*a**(8\/5)*a)\/a*a)))) assuming a is positive.\nAnswer: a**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -769*f**3 - 32*f**2 - 6 wrt f.\nAnswer: -4614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21\/8 of a microsecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18*(-42)\/(-1323))\/(4\/6).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -0.3, -0.05, -1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -149, -151, -153, -155, -157?\n\"Answer: -2*u - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -1622*c + 645*c - 3852*c - 3140*c. Let q(v) = -2*v**2. What is q(x(y))?\nAnswer: -127009922*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115736 - 193726. What is k rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13021.166 and 19585.2.\nAnswer: 6564.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y**4 + 428*y**3 + 1884*y**2 + 1876*y + 392 = 0. Calculate y.\nAnswer: -7, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -497 + 490. Let h(c) = -3*c. Let u(m) = -9*m + 1. What is b*h(q) + 2*u(q)?\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5*sqrt(832))\/(sqrt(20)\/(sqrt(5) - (sqrt(5) + (sqrt(5) - (sqrt(5) - sqrt(15)\/sqrt(3)))))))**2.\nAnswer: 83200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**3 + 2*s**2 - 3*s + 3. Suppose 3*b - 5*b = -6. Let h(x) = -11*x**3 - 5*x**2 + 7*x - 7. Let m be (-70)\/15*6\/(-4). Calculate b*h(y) + m*z(y).\nAnswer: 2*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 10, h: 10}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157165, -314496, -472001, -629680, -787533, -945560?\nAnswer: -1103761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 0.4, 102, -296, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -41. Let u(y) = 3*y**2 - 2*y**2 + 10*y + 6*y + d. Let r be u(-16). Solve l = -l - r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 + 3 - 1)*(0*j + 4*j - 7*j) + (2*j - j + 0*j)*(1 + 0 + 4).\nAnswer: -100*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 56?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 58*g + 57. What is k(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 6 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*n - 22*n**2 + 175*n - 28*n**2 + 51*n**2.\nAnswer: n**2 + 370*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66315043?\nAnswer: 66315043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/2 - 9\/2. Let y be v*((-11)\/2 + 4). Suppose 3*d - y = 2*i + 3*i, 0 = -d + i + 3. Solve 5*c + 28 = -h, -d*c = -0*c - 2*h + 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*h*q**3 + 2940*h*q**2 - 2*h*q + 1089*q**3 + 39*q**2 wrt h?\nAnswer: 31*q**3 + 2940*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -195 - -124. Suppose -35*k = -49*k - 994. Is j at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (94726\/(-5))\/(36\/(-240) - (-5)\/(-20)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from ookd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -0.1, -7, 2 in descending order.\nAnswer: 2, -0.1, -7, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 10:44 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 2*h. Suppose h*t + 2*t = 292. Suppose 2*n = 2*r + n - t, 5*n = -3*r + 219. What are the prime factors of r?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21144378*d**5 - 230*d - 28925 wrt d?\nAnswer: -422887560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -369119, -740367, -1111615?\n\"Answer: -371248*c + 2129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 o when three letters picked without replacement from {h: 5, o: 14}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18805181.03599 - 18933300.356. Let k = 128120 + x. Let q = 0.68 - k. What is q rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(143) - (sqrt(143) + -2*sqrt(143)*6 + sqrt(143)) - sqrt(143) - (sqrt(143) + 2*sqrt(143)*5)))\/((2*sqrt(1584)*-2 + sqrt(1584))*-4)*-4.\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2338299 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1820)\/30*(-54)\/21.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*o + 221*o + 574 = 189*o for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 - 14*f**2 - 16*f - 2. Let s be d(8). Is 1\/(-2) + 667\/2 + s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -w + 3*c, w + c + 11 = -c. Is w less than -4\/115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101201 (base 5) in base 14?\nAnswer: 12bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*p + 15 + 9, 5*o = 3*p - 24. Suppose 0 = 2*d + 5*r - 18, 2*r - p = -d + 2. What is the least common multiple of d and 48\/108*(1449\/(-14))\/(-23)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4782295 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(363) + 0 + -4)**2.\nAnswer: -88*sqrt(3) + 382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 a when four letters picked without replacement from {a: 7, o: 3, l: 2}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-26)*d**(-1\/9)*d*d**44*d\/((d\/(d\/(d**(-29)*d)))\/d*d))**(-24) assuming d is positive.\nAnswer: d**(-3448\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**49*n**0\/n*n**2*n assuming n is positive.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - m + m)*(-3 + 5 + 0) + (-5 + 3 - 5)*(8*m - 2*m + 2*m) in the form p*m + j and give p.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - -27 - (-15 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1458155?\nAnswer: 5, 19, 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 4:30 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170189625 is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.6 (b) -2 (c) -4 (d) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 8689347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + i - 181. Let u be w(0). Let t = -97 - u. What is the greatest common factor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*q + 32 = -174*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -25*i**4\/27 + 10*i**3\/9 - i**2\/2 + 34*i. Factor d(j).\nAnswer: -(10*j - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 148 = -4*u, -529117*m + 12*u - 128 = -529121*m for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -33 (b) -23\/3 (c) -400 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjzz when four letters picked without replacement from {z: 2, j: 5, g: 9}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6196 by -6.\nAnswer: 3098\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, h: 4, c: 2, m: 4, z: 2, o: 6}. Give prob of sequence mqz.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 875*d + 116173. Determine q(-163).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 10:47 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-94 + 1)*((-8)\/(-6) - 2) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 11) in base 3?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15 and -2739979.51166.\nAnswer: -2739964.51166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, 0.1, 35996?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 7. Suppose -23 = 3*t - 8. Let w(x) = -x**2 - 5*x + 10. Let g be w(t). Let l be k(g). Let j(a) = -a**3 - 4*a**2. Determine j(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/((sqrt(72) - -1*sqrt(72)) + sqrt(72) - sqrt(72)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 50631.2 weeks?\nAnswer: 30621749760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -2, 819, 3, 55\/4.\nAnswer: -2, -5\/4, 3, 55\/4, 819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*f - 3*x - 12, -25*x = -4*f - 29*x - 16 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43909 and 8474.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 + -137. Let x = -19 - o. What is the remainder when x is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v + 4. Suppose 18*o = 67 - 13. Let l(q) = 6*q + 9. Give o*l(u) - 7*c(u).\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y = 24*y - 984. Put 4, y, 3, 15 in increasing order.\nAnswer: 3, 4, 15, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**6\/720 - r**5\/40 + 31*r**4\/6 - 131*r. Let b(u) be the third derivative of j(u). Give b(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-9)\/(-3) + (-92)\/(-28). Let k = 15 + -56. Let w = -40.8 - k. What is the second biggest value in -2, w, i, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -47, -96, -157, -236, -339, -472?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 3:53 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001740849075 to 6 decimal places.\nAnswer: 0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g - 8. Let j(v) = -v**3 + 5*v**2 - 4*v + 4. Let u be j(g). Suppose q + q = u. Solve -3*y = p + q, -2*p - 6 = 5*y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/551, -0.1, -4, -5 in ascending order.\nAnswer: -5, -4, -0.1, 1\/551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**2\/2 - 5*k\/2 + 7 = 0?\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + 1057*k**2 + 20*k**4 + 4*k - 1056*k**2 to the form g*k**2 + b + w*k**3 + c*k**4 + j*k and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2249*l - 1203*l - 2556*l - 365*l as m*l + x and give m.\nAnswer: -6373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 + 6 - z**2 + 9.\nAnswer: 3*z**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 - 58 - (0 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*c = -11, 4*j - 2*j + 4*c + 8 = 0. What is the third derivative of -2*b**3 - 3*b**5 + 2*b**3 - 4*b**2 + b**j wrt b?\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 8, -7, 3\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 80\/(-32)) + 3\/2. Sort s, -2, 4, -62 in descending order.\nAnswer: 4, s, -2, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 103*w**2 + 4*w - 5. Let y(g) = 51*g**2 + 2*g - 2. Give 4*a(f) - 9*y(f).\nAnswer: -47*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**5 - 2*b**5 - 2*b**5 + (b + 2*b - 4*b)*(2*b**4 + 1 - 1).\nAnswer: -10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/159328 and -71\/416?\nAnswer: 159328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-2) + -8)*-10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/3))**(-1\/10)*t**(-7)\/(t*t\/(t**8\/t)*t) assuming t is positive.\nAnswer: t**(-46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1438 is divided by 1368?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011010100100 (base 2) to base 7.\nAnswer: -22620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 + 7)*4 - 2*-4. Let v(b) = -b**2 - 2*b + 10. Let w be v(g). Which is smaller: -102\/7 or w?\nAnswer: -102\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 + -155. Let y = 50.7 + p. Let b = y - -26. Round b to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 742436 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcoccmzczomomzz. What is prob of sequence comc?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 1 + 568\/604. Let o = -8368\/1057 - x. Find the common denominator of -55\/3 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 25, 11, 5, 1, -31 in ascending order.\nAnswer: -31, -5, 1, 5, 11, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 196*p - 178. Is b(3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 5*u**2 + 4*u + 10. Calculate p(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 882?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (3 - 2) - -5. Suppose c + 3 = z. Let n be 4\/(-10) - 27\/(-5). Solve -n*p = 2*i + 22, 5*i + 4*p + 18 + c = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*s + 15. Let m = -31 - -30. Which is the closest to m? (a) -0.4 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 531915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + -4 - 1*-1. Let z(w) = w**3 - w**2 - w + 94. Let g be z(r). Let n = g - 41. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = -0*n + 3*q, -5*n - 4*q + 6 = 0. Is (-1 - (-5 + n + 4)) + 2809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5936, 11650, 17364, 23078, 28792, 34506?\n\"Answer: 5714*f + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-9\/2)*m\/(m*m\/(m*m\/((m\/m**(8\/3))\/m*m)*m)))\/(m*m\/(m**(-3)\/m))**(-7))**(6\/19) assuming m is positive.\nAnswer: m**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -30992*o + 247930. Determine v(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*d + 56, 0*d = 2*d - 6. Let c = -26 - y. Let i be (-1)\/(-2 - c\/(-2)). Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93375 and 1225080?\nAnswer: 3735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 - 108. Let i(n) be the second derivative of g*n**2 - n + 1\/3*n**3 + 0. Let q(p) = 2*p. What is q(i(a))?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 136, 5, 1, -10, -5 in decreasing order.\nAnswer: 136, 5, 1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/2*(-6)\/(-9). What is the units digit of 7\/3 + o\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 220, -1.4, -39 in descending order.\nAnswer: 220, -1.4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 13 = -4*v + 41, -5*k - 5*v - 693 = -728 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 120?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9165986?\nAnswer: 2, 1831, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w**2. Let h(o) be the third derivative of o**4\/6 - o**3\/2 + 91*o**2 - o. Give h(f(s)).\nAnswer: -32*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57572740, 115145482, 172718224, 230290966?\nAnswer: 287863708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*l - 129 = 355, 0 = -2*u + 3*l + 242. Calculate the remainder when u is divided by 48.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-1 - (-1 + -2)) + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -61.747*164\nAnswer: -10126.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4897 is divided by 543.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 8:43 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**2 + 5*z**2 - 22*z**2 + 37*z**2 - 3*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11147 + 11147.2. What is the smallest value in 11, -3, 54, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311220 is divided by 94.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 12*s + 43. Let h be z(-6). Solve t + 75 = h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 45*h**2 - 124*h - 78. Let i be d(42). Solve -2*a + i = 0, -4*w + 8*a - 4*a = 32 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -305, -589, -847, -1073, -1261, -1405, -1499?\nAnswer: -1537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 3:30 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 55167 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -18*f - 174. Let c be f*224\/(-222) - 6. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 1:05 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320080.\nAnswer: 2, 5, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t. Let q = 1 + -6. Let z be 4 - (12\/(-4) - q). Let g(u) = u**2 + 0*u**2 - 3*u**z + 0*u**2. Give a(g(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 + 227*h - 1709. Determine v(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42491, -42513, -42533, -42551, -42567?\nAnswer: -42581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 24*-2 - 3. Let g(w) = -23*w - 10. Let u be g(-4). Let j = h + u. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1567.2681ms?\nAnswer: 0.00043535225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -5*x**4\/12 + 63*x - 1. Let g(s) = -26*s + 50. Let w(l) = -9*l + 17. Let c(a) = 4*g(a) - 11*w(a). What is k(c(b))?\nAnswer: -125*b**2 + 650*b - 845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1458)*5 - -6*sqrt(54)\/sqrt(3))\/(2*sqrt(144) - (sqrt(441)*1 + sqrt(441) + sqrt(441))).\nAnswer: -51*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = -24*m + 404 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10}. What is prob of sequence cc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 44*n**2. Let w(y) = -476*y - 13. Give w(x(u)).\nAnswer: -20944*u**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.1, -2\/5, 1, -2 in increasing order.\nAnswer: -2, -2\/5, -1\/3, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 29*g = -30*g + 15900, 4*z = 3*g + 21200. What is the highest common divisor of 300 and z?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 + -89. Let a(x) = -x - 6. Let y(v) = v + 6. Let c(u) = n*a(u) - 5*y(u). Determine c(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 (base 10) in base 2?\nAnswer: -10011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2831*n + 141548. Give k(50).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -49. Suppose 29*f - 24*f - n = 0. Calculate the smallest common multiple of 20 and (f - 3)\/((-2)\/(-4)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a**3 - 5*a**3 - 2*a**3 + (a - a**2 - a)*(12*a - 6*a + 9*a))*(-19*a + 9*a + 15*a) to the form b*a + c*a**3 + z + j*a**2 + l*a**4 and give l.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 998427 divided by -1?\nAnswer: -998427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 divided by -24?\nAnswer: 47\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 (base 7) in base 11?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -66, -2, -12 in decreasing order.\nAnswer: 2, -2, -5, -12, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*o - a - 6, -5*a - 21 = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 46 = -3*s. Round s to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/((-90)\/(-8)))\/((-17)\/(255\/(-312)))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, 1\/5, 3\/7 in decreasing order.\nAnswer: 3\/7, 0.22, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.7 to 1 decimal place.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1147.958 to zero dps.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 850688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*w - 11. Suppose -t + 0*s = 2*s - 5, -5*s + w = 2*t. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -330*p + 7. Let y be 4\/(-6) + (-68)\/(-12). Suppose -10 = z - y. Is w(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 16.7, -1\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 y, and 1 t when three letters picked without replacement from {j: 3, z: 5, g: 1, y: 6, p: 3, t: 1}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-62)\/(-155))\/((-4)\/25))\/((-220)\/16)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3772*x - 1575925 = -13616*x - 6857*x for x.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 2*t - 1. Let m be b(-2). Suppose m*i - i + 3*g = 16, -5*i - g = -40. Let l = i + -7. Let j(d) = -6*d**2 - d. What is j(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 8. Let d(h) = 1. Let v(w) = 6*d(w) + o(w). Let m be v(10). Solve 0 = 2*f - m + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -146, 5 in increasing order.\nAnswer: -146, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 + -1012?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*v**2 + 54*v + 950*v**3 + 5*v**2 - 949*v**3 - 5*v**2 + 3*v**2 to i*v**3 + s*v**2 + o + t*v and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/10)\/((-6)\/(-15)) + -13.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 26\/(-6) - (-13)\/(-39). Solve 0 = -a*u + 3 - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/11963 + 442871\/717780. Calculate the common denominator of 117\/40 and s.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84*(-27)\/(-189) + 1750\/(-154)?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/22)\/(((-45)\/(-55))\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -525 + 524. Let z(j) = -1. Let m(p) = -4 + 25*p**2 + 2*p + 3*p - 7*p + 2*p**2. Let w(y) = k*m(y) + 4*z(y). Find the second derivative of w(t) wrt t.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1001412200 - 11?\nAnswer: 1001412134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724 is divided by 68?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 15 = 3*r - 4*r, -3*r = -5*f + 15. Suppose 13*i - 15*i + 196 = r. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*s - 17 = -7*c, 3*c + 28 = 5*s. Let g(d) be the third derivative of -3*d**6\/20 - d**5\/60 - d**4\/12 - d**3\/6 + d**2 + 2*d - 627. Give g(c).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 280168 + -280166. Find y such that -12\/7*y + 3\/7*y**3 + 9\/7*y**z - 36\/7 = 0.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 1.7.\nAnswer: 18.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 122, 137, 152, 167, 182?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 - 5018*i**2.\nAnswer: -2*i**2*(i + 2509)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 2*b**2 - 3*b + 2. Let z be s(3). Let i be (z\/6)\/((-1)\/(-3)). Let w = 0.11 - 4.11. What is the third smallest value in w, i, -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*c**2*g*p**2 + c**2*g*p - 2*c**2*g - c**2*p**2 - 13*c*g*p + g*p**2 - 48*g*p + 3*p**2 wrt p.\nAnswer: -80*c**2*g - 2*c**2 + 2*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*w**3 - 9*w**4 + 19*w**3)*(-2 + 2 + 2 + (3 + 0 - 8)*(5 - 2 + 2)).\nAnswer: 207*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -14*h - 14*h. Solve 4 - h = 2*w + s, -5*s - 12 = -4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 (base 5) in base 7?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 966453888 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 399506339 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -6469\/33614 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (0 - -11) - -17 - 13\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*n = 54*n + 1672. Suppose -6*c = -299 + n. Let t = -91 + 132. Calculate the remainder when t is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -809*n - 229028. Calculate p(-283).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1 (b) -0.3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 884848 + 131440 = 694096. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35254947, 35254946, 35254945, 35254944, 35254943?\nAnswer: 35254942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10749, 4, 39, 3, -4 in decreasing order.\nAnswer: 39, 4, 3, -4, -10749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 439743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 59546819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 670*l = 673*l - 111. What is the remainder when 103 is divided by l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81188226 and 15022.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-18)\/(n\/(n\/n**(-4)*n))*(n*n\/n**(-4\/5)*n*n)\/n*(n\/n**(-1))\/n assuming n is positive.\nAnswer: n**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*l**3 + 161 + 127*l**3 - 485*l**3 + 121*l**3 + 126*l**3 - 161.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1114.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1157*a - 15. Let l(x) = -1157*x + 12. Determine -4*l(d) - 3*u(d).\nAnswer: 1157*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 287753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 229\/6*a**2 + 2166 + 2204*a + 1\/6*a**3.\nAnswer: (a + 1)*(a + 114)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 472 = -10*m. Let t = m + -27. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -2*x - 11, -23 = 7*x - 5*x - 5*s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188851?\nAnswer: 13, 73, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 + 23)*(-37*i**2 + 51*i**2 + 18*i**2) in the form z + y*i**2 + r*i and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -8375104.6 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**6\/30 + a**5\/30 - 7*a**2 - 17*a. Let k(y) be the first derivative of j(y). What is the third derivative of k(m) wrt m?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 10*j - 80 = 0. Suppose -j = -4*d + 4. What is z in 2*z**3 + 78*z**2 + d*z - 156*z**2 + z + 70*z**2 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 - p**2 - 2*p - 1. Suppose -3*l + 11 = -7. Let j be (2 + -2)*(-6)\/12. Suppose 4*v + 3*w + 0*w + 7 = j, 0 = 4*v + 2*w + l. Determine x(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 5*n - 2*n)*(-65*n - 1102 + 1102)*(-3 - n + 5 - 2*n).\nAnswer: 390*n**3 - 260*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - -2*sqrt(1216)) + sqrt(209)\/(sqrt(11) - sqrt(99)))**2 - (1 + (sqrt(19) - ((sqrt(228)*1)\/sqrt(12))**2) + sqrt(19)).\nAnswer: -2*sqrt(19) + 42043\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvvvkkfkkkkkkkkkfvkv. What is prob of picking 2 k?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n = -5. Let g(r) be the first derivative of r**4\/4 + 4*r**3\/3 - 5*r**2\/2 - 2*r + 1. Let b be g(n). Are b and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**2 + 11*z - 185. Let g(c) = -c**2 - 1202 + 0*c + 2*c + 1165. Let i(b) = 11*g(b) - 2*y(b). What is the first derivative of i(f) wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzw when three letters picked without replacement from {m: 2, o: 4, x: 3, w: 2, z: 8}.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + s, -s = -5*a + 35. Solve 4*i = a + 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 32*m - 15. Let c be x(21). Suppose -666 = 3*j - c. Let p = -101 - j. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3584075*c**3 + 1792011*c**3 + 1791994*c**3.\nAnswer: -70*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644312 is divided by 207.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*n - 28*n + 52 - 54*n + 5 + 105*n.\nAnswer: 267*n + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 8:03 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 52\/16 - 2\/8. Let d be (-4)\/((-3)\/b - 1). Suppose 0 = -2*y + 8 - d. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + ((-10)\/(-1))\/(-1). Let j = v + 5. Let q = 8 + j. Solve k - 6*i + 3*i = -5, 4*i = q*k + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 767*n**3 + 878*n.\nAnswer: 4602*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 849841773 + 303325015. Let j = l + -1153166792.80000021. Let s = j - -4.8. What is s rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132886389 - 132886310.94836392. Let o = z + -0.05230608. Let f = -78 + o. What is f rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -281510 <= -281517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 5784.09 to the nearest ten.\nAnswer: 5780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**6\/120 - v**5\/12 + v**4\/24 + v**3\/6 - 2*v**2. Let r be k(-5). What is the units digit of (2 + r - -2) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*o + 137 = -2*o, 3*o = -m + 37. Calculate the remainder when 622 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/7)\/((-16)\/(-560)*-15)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 1, 5, 4, -4, -19 in decreasing order.\nAnswer: 5, 4, 1, -4, -19, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 13.9. Let x = 8.1 - n. Put -2, -5, x in descending order.\nAnswer: x, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1 = b - 0*b, 0 = 4*y + 4. Suppose -4 - b = -2*a. Let x = a - 2. Calculate the greatest common divisor of 10 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-23)\/46)\/((-1)\/(-8)). Let z = 3.11 - 0.11. Which is the fourth smallest value? (a) 0.4 (b) v (c) z (d) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429520 a multiple of 472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 11*t - 14. Let k be q(10). Let x be ((-3)\/k)\/(2\/405776). Suppose -o + 47834 = -x. Round o to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/14)\/((-14)\/98). What are the prime factors of 425*(-1)\/(-2) - (-1)\/c?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j + 2*t + 26 = -15*j - 4*j - t, -t - 2 = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90*(-99)\/4455)\/(-23).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*a = 12. Let v(y) = -14 + a*y + 13 - 2*y. Let b be v(4). Solve -b*n - n = -12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.11 - 10.01. Let t = -5520.6 - -5519. Let y = i - t. What is y rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 18*c + 1. Let s(v) = -v**2 - 2*v - 8. Let p be s(-4). Let b be k(p). Let a be (-27599996)\/(-6) - (-22)\/b. Round a to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*q**4*r - 182*q**2*r**2 + 12*r**2 - r + 6 wrt q.\nAnswer: -32*q**3*r - 364*q*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1346, 2693, 4044, 5399, 6758, 8121?\nAnswer: 9488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a hour in seconds?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - o + 2. Let r be i(0). Suppose -r*p + 4 = 2. Calculate the common denominator of (-2 + p)*(-2)\/(-3) and 4\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 4*i**2. Let j(h) = -5*h**2 + 5*h**3 + 11*h**3 + 1 - 17*h**3. What is -5*b(v) + 4*j(v)?\nAnswer: v**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 134.2 times 0.03?\nAnswer: 4.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60123 + -60123.1. Let z = 0.02 + 7.98. What is the nearest to z in 0.5, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 722, 724, 726, 728?\nAnswer: 730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -304 + 105 + 0*i + 5*i + 256. Calculate h(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(208)\/sqrt(4))**2.\nAnswer: 12*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-6) - 207340\/(-4443)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37555 and 146336813.\nAnswer: 7511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 38, 60, 84, 110?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*i - 28 = i, -y + 3*i = -7. Suppose -k + 4*k - 2*p = 22, 3*k = -p + y. Is k at least 13\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.4135646 to one dp.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443295 is divided by 5333.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 629*m**4 + 20*m + 2 wrt m?\nAnswer: 7548*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 386\/(-8) + 4 - 5*(-6)\/24*1?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.82, -5, -59?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 30*q - 228. Let c be g(6). What is the hundreds digit of 1320*18\/c*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1562586 is divided by 357?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-2)\/4) - -4. Let h = -1 - -1. Let a = h + u. Solve 4*y + a*r - 2 = r, 0 = 2*y + 2*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 s when four letters picked without replacement from {t: 6, s: 4, h: 1, k: 5}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -129\/8 (c) 5 (d) 6 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*r - 10 - 4*r - 29*r)*(4 + 2*r**3 - 6 + 3).\nAnswer: -34*r**4 - 20*r**3 - 17*r - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 14\/(-8))*(-200)\/525. Which is the second smallest value? (a) 3 (b) z (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from diaqfqqqaiqwi. What is prob of sequence fwa?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from unnnmginu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 8 = -2*a + 13*b, 2*a + 4*b - 26 = 0. Suppose -4*w + a - 11 = 0, -5*y - 3*w = -14092. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*u**2 + 92369*u + 436759.\nAnswer: -4*u + 92369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bggbsgbsrbrbgbbiri. What is prob of picking 1 g, 1 i, and 2 b?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 36*u**2 - u + 2. Let r(n) = -n**3 + 17*n**2 - 27*n - 44. Let f be r(15). Calculate s(f).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -4*n**5\/5 + 360*n**4 + 1444*n**3\/3 - 2726. Find s, given that c(s) = 0.\nAnswer: -1, 0, 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 2*g = 0. Let u(p) be the second derivative of 0*p**2 + 0 + 1\/6*p**4 + g*p**3 + 1\/15*p**6 + p + 0*p**5. What is the third derivative of u(t) wrt t?\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeuu. Give prob of picking 1 e and 1 u.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 3*p - 79 - 49709*p**2 + 49699*p**2.\nAnswer: -10*p**2 + p - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2437256, -2437208, -2437160, -2437112, -2437064?\nAnswer: -2437016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4188*k**4 + 4971*k**2.\nAnswer: -100512*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + -5500150?\nAnswer: -5500134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 10*v + 42*v + 40.\nAnswer: 32*v + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n\/(((n\/(n*n\/n**7*n))\/n)\/n))\/n))\/(n*n**(-3\/8)))\/((n*n*n**6*n)\/((n\/n**2)\/n)) assuming n is positive.\nAnswer: n**(-69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u + 32*u = -8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from ossqssqsossssss.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j - 165 = 25*j. What is the units digit of (-10)\/j - (-1974)\/33?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.52 + 1.52. Which is the nearest to w? (a) 2\/13 (b) 4\/9 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 12:26 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*(sqrt(2299) - (-1 + sqrt(2299) + sqrt(2299) + -1)) + 1 + sqrt(2299)*2 + sqrt(2299) + -3)**2.\nAnswer: -132*sqrt(19) + 2335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 55 (c) -1\/15 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-1 - 3 - (-5 - 14))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 5 = -a, -2*a + f + 112 = -3*f + 29 + 61 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/66 and 75\/34?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1332a3 (base 14) to base 10\nAnswer: 661839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 185 - 25)*(15 - 29 + 18)*(v**3 - 3 + 3).\nAnswer: -644*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*(sqrt(720) - sqrt(720)*-1) + sqrt(720) + -3)*5)**2.\nAnswer: -48600*sqrt(5) + 1460025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 7\/3, 6, 0.05, 1, -4 in ascending order.\nAnswer: -4, -0.04, 0.05, 1, 7\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187296 + 34679 = -3415*v for v.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/11339 and 101\/1600294.\nAnswer: 788944942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/36 and 63\/10493348.\nAnswer: 94440132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(-d + d + 2*d)*(6*d**2 - 2*d**2 + d**2 + d**2 - 4*d**2 + d**2 + 0*d**2 - d**2 + 0*d**2 + (-4*d - d + 3*d)*(-d + 2*d + d)).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 803 and 112963631?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -76*j**4 + 34.\nAnswer: -304*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 2*t**2 - 1 - 4*t + 2 + (-2 + 2 + 2)*(-26 + 5*t**2 + 26).\nAnswer: 12*t**2 - 4*t - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) - ((sqrt(77) - (5*(sqrt(77) - (sqrt(77)*3 + sqrt(77))) + sqrt(77) - sqrt(77))) + sqrt(77))))\/((sqrt(99)*2)\/sqrt(9)).\nAnswer: 17*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9928 * 3.\nAnswer: -5.9784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018639864 to four dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199180 is divided by 105?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17501721\/7 or 2500245?\nAnswer: 2500245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23483 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 383.71 minus 1832?\nAnswer: -1448.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 941400 rounded to the nearest 10000?\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -2)*(99\/48 - 2). Let m(w) = -2*w**3 - 2*w**2 - 4*w - 2. Let z be m(-2). Let a(h) = h**2 - 14*h + 1. Let n be a(z). Are n and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 333.54 - 332. Let g = -0.86 - -1. Let y = t - g. Round y to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 244787?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -217.58, 2\/11, 0.4, -696 in descending order.\nAnswer: 0.4, 2\/11, -217.58, -696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/(-28))\/(((-4928)\/96)\/7).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2. Let m(v) = 40*v**2 - 3*v + 8. Let x(d) = -26*d**2 + 2*d - 5. Let w(h) = -5*m(h) - 8*x(h). What is a(w(t))?\nAnswer: 256*t**4 - 64*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1. Let n(r) = r**2 - r + 7. Let z(s) = -14*m(s) - 2*n(s). Suppose z(o) = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64790 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4 + 6. Suppose 4*b - 3*o - 1 = 0, 3*b + 2*o = 17 + 5. Suppose 2*t = 4*s - 6, -3*s + 0 = -b*t + 3. Solve -r + c = -s*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 2*j**2 + 16*j + 25. Let s be p(-11). Suppose 2*o = 2*x + 468, -s = -4*o - 3*x + 8*x. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11304*s**2*y**3 - 3*s**2*y - 24*s*y**3 - 40502*y**3 - 50*y wrt s.\nAnswer: 22608*s*y**3 - 6*s*y - 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99*w**3 - 377*w.\nAnswer: -594*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010000101 + 1000011111111?\nAnswer: 1010110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -127cc (base 15) in base 12?\nAnswer: -2a286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -280 - 83. Let w = f - -622. Calculate the greatest common divisor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 9*i - 2*i**3 + 12*i - 2 - 19*i to k*i**2 + z*i + m*i**3 + u and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -582.905 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33156*n**3 - 29559*n wrt n.\nAnswer: 198936*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 55.8. Let u = -3\/23 + -14\/69. Let j = 7.95 - -0.05. Which is the third smallest value? (a) u (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/63)\/(((-256)\/528)\/(-16))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**5 + 51*d**4 + 38*d**3 + 1909*d wrt d?\nAnswer: -20*d**3 + 612*d**2 + 228*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 - 2 - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**7\/70 - y**3\/6 + 4*y**2. Find the first derivative of b(x) wrt x.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10575288 bigger than 10575288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/55*24\/(1296\/90).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 943085.3 tonnes?\nAnswer: 943085300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161377*f + 161398*f - 315 = 0 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-6\/7)*n*n*n**(-5))**(-34)*(n**2\/n**(1\/2))\/(n**(-4\/7)\/n*n\/(((n**2*n)\/n)\/n*n)) assuming n is positive.\nAnswer: n**(601\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 35006.\nAnswer: 420072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (56 - (31 + 19)) + (-10 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6133?\nAnswer: 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**4\/3 - i**3\/3 + i**2\/2 + 6*i. Give b(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 325 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, 2, 0.1, -571?\nAnswer: -571","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 3*s = 22806. List the prime factors of s.\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103312591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29982905 divided by -257.\nAnswer: -116665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7*i - 44. Let x = 12 + -22. Let d be c(x). What is the greatest common factor of d and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/8)\/((-499)\/(-250) - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -7*h + 7. Suppose q + h = -3*m, 3*q + 3*m = 4*q - 17. Suppose -i - 284 = -q*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 854254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 6521688.\nAnswer: 32608440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -da + 7?\nAnswer: -d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441543 (base 8) in base 14?\nAnswer: a9831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**3 + 1. Let w be h(-1). Suppose -3*t + 3*x + 9 = 0, 5 = 7*x - 2*x. Solve -3*l + t*g = -l, -w*l + 20 = 2*g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lclcljcj. Give prob of picking 1 j and 2 l.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1635 is divided by 125.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9))\/(264\/(-288))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -16. Let v(u) = 5*u - u - x + 5*u - 2*u. Let m be v(6). Calculate the highest common divisor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -7\/38, -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*c = k - 566, -3*c + 5*k + 436 = 0. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a + 30. Calculate the lowest common multiple of 18 and u(5).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0, 5, 0.2, 1\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*s + r - 11637, -5*s + 4*r - 19363 = 0. Let y = s - -23197\/6. Calculate the common denominator of -87\/8 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3 - (520751\/(-33))\/(-7). Is (3*4*i\/(-30))\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 143 (c) -1 (d) 1 (e) -4 (f) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*sqrt(7)*3 + (sqrt(7) + sqrt(7)*-2 + -5 + sqrt(7))**2).\nAnswer: -45*sqrt(7) - 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/15, -20, 3, 5, 11\/4, -1 in decreasing order.\nAnswer: 5, 3, 11\/4, -4\/15, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a factor of 31146166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 860*o - 4469 + 1889 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20790494 is divided by 52.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4155*t + 10951*t - 2934*t as j*t + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 10:48 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -72027 - -32?\nAnswer: -71ee5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1300312301 - -20020?\nAnswer: 1300332321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.16, 0.04 in decreasing order.\nAnswer: 2, 0.16, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*sqrt(180)*-2 - (5 + -4 + (sqrt(180) - sqrt(180)*-1)))**2.\nAnswer: 120*sqrt(5) + 18001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -0.03, 0.3, 0.5 in decreasing order.\nAnswer: 0.5, 0.3, 2\/11, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2 - 55\/(-25)). Suppose l*p + m = 97, 17 = 5*p - 4*p + m. Suppose -4*u + 3*u + 59 = 0. Calculate the remainder when u is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -52*y**2 + 18*y + 1. Give d(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*270\nAnswer: -24.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -269 + 148. Let b = v - -269. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 24.1. Round g to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57474 (base 9) in base 16?\nAnswer: -959b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 235216695.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 85*m + 11507. Give k(-134).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 402\/24*4 + -2. Suppose w = v + 60. Solve -11 = -v*m - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -632118, -3, -4 in descending order.\nAnswer: -3, -4, -632118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*w + 960 = 78*w. Let c(x) = x**2 + 8*x + 28. What is c(w)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*d**4 + 2*d**3 - 4050*d**2 + 51*d - 42705.\nAnswer: -660*d**2 + 12*d - 8100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3430\/(-2401))\/(12*(-3)\/(-21))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 480055249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*r - 30*r + 18*r)*(-2 + 5 + 2).\nAnswer: -245*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(55 - 12 + 53)*(9*c**2 - 4*c**2 + 3*c**2).\nAnswer: -2304*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*4\/16*21. Let a be (476 - 404)*2\/(6\/5). Let y = s + a. What are the prime factors of y?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 + 65*y + 18. Does 9 divide n(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7*m + 33. Give n(-21).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3 = -3*y, -5400*f = -5402*f + 5*y + 11 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**4\/12 + 131*m**3\/6 - 1126*m. Let w(p) = -p. Give t(w(d)).\nAnswer: -d**2 - 131*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15\/8, -6, -0.1, 0.3?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-85*i + 246*i - 1 + 47*i)*(5 - 3 - 4)*(0*i + 0*i - 2*i**2)*(-4 + 4 + 2) to the form t*i**2 + x + d*i**3 + s*i and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 10 = 10. Let o be (-36)\/h - 1\/(-5). Let v(b) = -b + 4. Let x be v(o). What is the highest common divisor of 22 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252486259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-20))\/((-12)\/(-16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 424 - 414. What are the prime factors of 13209\/(-34)*j\/(-3)?\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 6*n**2 - 9*n - 13. Let d be z(-7). Sort -2300, d, 5 in ascending order.\nAnswer: -2300, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/33*(-4)\/(-6)*327\/763\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 2156?\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*c - 9, -7*n + 3*n = 2*c + 8. Suppose -2*x + b + 3 = 0, 3*b - 15 = -5*x - 2. Let z(a) = -c*a - a**3 + 3*a - 8 - 2 + 4*a**x + 7. Calculate z(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -274, -2066, -6884, -16228, -31598?\n\"Answer: -250*n**3 - 13*n**2 - 3*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3195665, -3195747, -3195829, -3195911?\nAnswer: -3195993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 - 8*p**2 - 11*p + 11. Suppose -180*z - 204 + 1104 = 0. Give y(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**3 + 3 - 3 + (-4*d - 4 + 4)*(-2*d**2 + 2 - 2).\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.264 + -0.155. Let w = -4.991 - q. Round w to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + ca25bb3?\nAnswer: ca25bb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 38 = 200. Let u be 220\/i - 2\/9. Solve 6*m = 6 + u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4 + 1202\/4. Suppose -10*j - u = -14*j. Suppose -3*r + j = 4*m, -4*m - 4*r - 55 = -9*m. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0086943238 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015957 to five dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 0)*(-2)\/8. Let c be -1 - 0\/(2 - 3). Which is smaller: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*u - 91, -4*u + 2*u + 79 = -5*r. Let y = u + -66. Let a = -17 - y. What is the biggest value in -2, 1\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -553 or -552?\nAnswer: -552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 375.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/12? (a) -0.2 (b) -2 (c) 3 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (13\/(-5))\/((-95)\/25175) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5629*b - 4330*b = 112461 + 4449 for b.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -1 + 3*h**2 - 2*h**2 - 5*h + 5. Let p = -27 - -31. Determine c(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1692804 + -5.\nAnswer: 1692799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7a - -44?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 5*q - 5*q)*(2*q - 2*q**2 - 2*q) + ((0 - 2 + 3)*(-3*q + 4*q + q) + 2*q + 4 - 4 - 3*q + 4*q - 3*q)*(2*q**2 + 4*q**2 - 3*q**2).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4632 - 3057. Does 45 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 12974*x**2 + 182*x + 2275. Let c(w) = 865*w**2 + 12*w + 150. Let o(b) = -91*c(b) + 6*j(b). Let g(n) = 3*n. Calculate o(g(k)).\nAnswer: -7839*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1007991*0.3\nAnswer: 302397.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1207360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837065305.\nAnswer: 5, 43, 53, 73459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 448713 (base 10) to base 4.\nAnswer: 1231203021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -126 - -883\/7. Let n = -0.2 - 0.3. Put y, 0.3, 2, n in increasing order.\nAnswer: n, y, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 1 (c) -4\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4070 - 77*v**4 + 4070 + (-2*v**2 + 0*v**2 + 3*v**2)*(-3*v - 2*v**2 + 3*v).\nAnswer: -79*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-2)*284\/(-213). Solve 22*h - 28 = -b*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 14*g + 79. Let k be v(-5). Suppose 8*q - 3*s + 19 = 10*q, s - 11 = -3*q. Solve -k = q*f - 13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*n + 64*n = -2*j + 56, j + 2*n = 13 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5 - 3 + 6*x - x**3 + 0 + 5*x**2. Let m be i(6). Suppose -g = -r - 0*r + 3, r + m*g - 15 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/389 (b) 1\/3 (c) -2 (d) -6 (e) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11279800 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 66\/4*14\/(-21). What is the hundreds digit of (u\/(-14))\/(2\/1162)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591 = 275*q - 509 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from sfpppfssfstfspt?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -432233 (base 5) to base 10\nAnswer: -14693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 12*i. Let s(v) = 13*v. Let y(o) = -6*d(o) + 5*s(o). Let x(k) = -15*k. Determine x(y(l)).\nAnswer: 105*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 285 = -2259. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 2\/5, 5 in ascending order.\nAnswer: -33, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 6*j**2 + 8*j - 2. Determine v(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 80, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 254196 + -b9?\nAnswer: 2540dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52911 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3, -21*t + 4409 = y - 16*t. Suppose -y = -13*k + 4410. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**4 - 6954*n**3 - 240*n**2 + 377542342*n?\nAnswer: -36*n**2 - 41724*n - 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a15 - 10?\nAnswer: -a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2313412.\nAnswer: 2, 578353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 63844246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.25 + -9.75. Let n = j + 9.9. Which is the closest to 0.1? (a) -3 (b) n (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3446*d**2 - 93*d**6 - 7665*d**2 - 4*d**4 - 116*d**6 - 56 + 56 wrt d?\nAnswer: -25080*d**3 - 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -q - u + 2, -5*u = 2*q. Let r be (-4)\/q - (-406999978)\/(-55). What is r rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/((x*x**(-1))\/x))\/x))**(2\/9)*x\/x**5*(x*x**2)\/x)**(2\/5) assuming x is positive.\nAnswer: x**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 2*d - 2*d)*(-1 + 1 - d).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**6\/120 + i**5\/20 - i**4\/8 - 3*i**3\/2 + i. Let a(b) be the second derivative of m(b). Find t such that a(t) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iss when three letters picked without replacement from isiss.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**4\/3 - 78*z**2 + 9*z. Let a(y) = -2*y + 1. Determine a(l(v)).\nAnswer: 16*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 13 = 3*z, n + 2*n - 1 = 4*z. Let o = -0.01 + -0.49. What is the third smallest value in z, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 58 = 13*p - 11*p, 5*a = 5*p - 105. Suppose -2*d + 18 = d. Let i be 1*d\/(0 - -2). Put a, -3, -1, i in descending order.\nAnswer: i, -1, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 35*b + 214. What is the remainder when l(-39) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzzw when four letters picked without replacement from wwzzzzzzz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 0*v - v**6 + 0*v**2 + 302\/3*v**3 + 308 - 2\/5*v**5 + 0*v**4. Find the third derivative of x(r) wrt r.\nAnswer: -360*r**2 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8012\/7 + 1145. Put -5\/4, 2\/349, s in ascending order.\nAnswer: -5\/4, 2\/349, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35988 and 134580?\nAnswer: 403605420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 + 4*q**2 - 12*q**2 - 5*q**2.\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 4*q. What is the third derivative of -9*d**2 + 0 + 2*d**4 + q + 4*d**2 wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4 - 2. Suppose -w*k - 3*f = 2*k - 7, f = 3*k + 11. What is the common denominator of (-70)\/(-6) + k + 4 and 1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/12*(-12)\/(-14). Solve -5*k + f = -3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -24. Suppose 2 - 17 = 2*a - 5*s, 4*s - 12 = -2*a. Let p = 6 - 2. Solve a = j*h + h + p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -10*z + 85. What is the smallest common multiple of g(-20) and 380?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6035*f + 404. Is d(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136)*-1 + sqrt(136) - sqrt(136)) + sqrt(136))*-1)\/(-3*sqrt(8)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 39*m**2 + 117*m + 120. What is z(-29)?\nAnswer: 5137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.22 and 1.2.\nAnswer: 0.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -235742*w - 112. What is n(0)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = 20*n - 12*n. Let d = 840 - 356. Calculate the greatest common factor of d and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*((sqrt(104) - (sqrt(104) + -2*sqrt(104)*-5 + sqrt(104))) + sqrt(104) + sqrt(104) - sqrt(104)))\/(-1*-2*sqrt(968)).\nAnswer: 2 + 15*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 45. Let b(w) = 5*w - 6. Calculate b(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i - 9. Suppose -12 = t - 3*t. What is the tens digit of a(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43621?\nAnswer: 181, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + l + 0*l)*(-14*l + 7*l**2 + 14*l)*(l + 3*l - 3*l) + (3*l**2 + 0*l**2 - 4*l**2)*(6*l**2 + 0*l**2 + 8*l**2).\nAnswer: -28*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -59*g - 1. Let p(k) = 60*k + 1. Determine 5*p(j) + 6*s(j).\nAnswer: -54*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/21, 2, 1\/10, -4, -23\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from vdl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11655\/(-567) - -21)\/((-2)\/(-261)))\/(0 + 2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 134*q**2 - 448*q - 7206. Give v(-131).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 126*f**2 + 2066*f + 14596. Calculate v(105).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 11) to base 5.\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -17 in descending order.\nAnswer: 4, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2797, -2781, -2767, -2755, -2745, -2737?\nAnswer: -2731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-20) + 250475\/(-2). Let o = z - -213238. What is o rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {l: 1, a: 2, h: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 - 296\/5. Let s = 321 + -2245\/7. Let p be ((-40)\/15)\/(-8)*-3. Which is the nearest to p? (a) q (b) s (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 213579115 and -0.0154.\nAnswer: 213579114.9846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -442 + -3?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 119*f + 382. Let q(t) be the second derivative of t**5\/20 - t**4\/4 - t**3\/3 + 7*t**2\/2 + 2*t. Calculate the remainder when q(5) is divided by h(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*z - 8182045 + 8182046 + 5*z.\nAnswer: -30*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-1)\/4)\/((-693)\/252)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o - 25. Let k be w(14). Let t(j) = j**2 - k + 2*j**2 - 2258*j + 2256*j. Let y(h) = -h**3 + 2*h**2 - h - 2. Calculate 2*t(d) - 3*y(d).\nAnswer: 3*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**4\/6 - 2*g**2 - 4. Let u(j) be the second derivative of c(j). Let s(x) = x**2. Calculate s(u(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 11:47 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 29 = -5*s, -4*g = 4*s - 171 + 155 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230, -919, -2056, -3635, -5650?\nAnswer: -8095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 8. Let s be x(8). Suppose 3*i - i + 154 = s. Let f = i - -541\/7. What is the biggest value in 4\/5, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -5*g**3\/3 + 275*g**2\/2 - 1020*g - 2106. Suppose q(d) = 0. What is d?\nAnswer: 4, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 1 - (0 + 3). Let f be (-2 + 2)\/((-3)\/(6\/m)). Put -0.1, 4, f in increasing order.\nAnswer: -0.1, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 25*c + 26. Determine x(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92\/205 - 2\/41. Let j = 4.2 - 0.2. Sort i, 2\/15, j.\nAnswer: 2\/15, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - ((-4)\/1 + 0). Suppose -2*g - 14 = 5*c, -z*c + 15 + 6 = -3*g. What is the common denominator of 11\/6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -747, -751, -767, -801, -859, -947?\n\"Answer: -y**3 + 3*y - 749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*d - 3*d**2 + 2*d**2 - 18*d + 21*d - 29*d in the form t*d + r + o*d**2 and give t.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -3.0264?\nAnswer: -0.9736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 261 - 3?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1\/2 (c) -0.2 (d) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1214 - -4?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 4:24 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 - 13 + 12*a + (a + 5 - 2 - 1)*(-10 - 3 + 2).\nAnswer: a - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*v**2 - 6*v**2 + 32*v**2 + 4*v**2 in the form i*v + y*v**2 + t and give y.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 482198237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q - 2*q + 3*q + (4 - 2 - 1)*(2*q + 0*q - q) - q + 2*q + 0*q + 0*q - 3*q + 5*q + (-3 - 1 + 0)*(7 - 11*q - 7) in the form k*q + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - i = -8*a + 34, -3*i = -a + 18. Let z be a - 7\/(7\/3). Solve 0 = 5*g - z*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a**2*h*w**3 + a**2*h*w - a*h + 14*h*w**2 - w**3 + 6*w wrt w.\nAnswer: 24*a**2*h*w + 28*h - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2813268?\nAnswer: 2, 3, 23, 10193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x - 1. Let d(t) = -6*t - 2. Let q = 658 - 655. What is q*d(u) - 7*h(u)?\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -354 + 349. Sort m, 47, 0 in decreasing order.\nAnswer: 47, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 178335*o - 1605258.\nAnswer: 3*(o - 9)*(o + 59454)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10*k**2 + 9*k - 9. Let a(i) = i**2 + i - 1. Let j(x) = -18*a(x) + 2*w(x). Let o(l) = -25*l**2. What is o(j(y))?\nAnswer: -100*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*d + 15, -5*j = -3*d - 0 - 1. Find the first derivative of 19 - 156*t**j + 1 + 7 + 5 - 2 wrt t.\nAnswer: -312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - 1075*n**2 + 2*n**4 + 1078*n**2 + 0*n + 4 to the form i*n**3 + v*n + k + o*n**2 + u*n**4 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -165 + 174 - (11 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 19*q**2 - 52*q - 24. What is the remainder when w(-5) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(((-9)\/(-3))\/3). Let z be (-184)\/w + 14\/63. What is the units digit of (-1)\/5 + (-42)\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1366656309?\nAnswer: 3, 37, 761, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from kzkqykrjyqkkzzkykyjk?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*g + 2252208 = -20*g. List the prime factors of g.\nAnswer: 2, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 233200002 (base 5) to base 16\nAnswer: 104ed0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 25. Calculate the remainder when 21 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30\/31 or 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from ujduxujupupju.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*k**2 + 72*k**2 + 67*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l = -7657 + 2443. Let s = l - -342. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -1)\/(2\/(-10)). Let n = i + 33. Calculate the remainder when n is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 154 = -2*y, -z + 4*y + y - 25 = 0. Is (-1839808)\/z + 1\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/73 and 28.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44542, 89336, 134130, 178924, 223718?\n\"Answer: 44794*f - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -y + 4*h + 116, 4*y - 443 = 3*h. Let l = 138 - y. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f - 12*f**2 + 7 - f**3 + 12*f**2 - 4*f in the form h*f**3 + z*f + c + a*f**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-2 - 3) - -2) + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -10*u - 5. Let b be z(-4). Suppose 2*d - 5 + b = 0. Let r = d + 30. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12012213 + 32122?\nAnswer: 12111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3, 237.9, -31, 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 13*s + 8 = -10 - 0 + 17, -11*u + 89 = -6*s + s for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/707 < -3925\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 18, 25, 34, 45, 58?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 5*z + 4*g, 4*z - 5*g - 12 + 19 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 - 2*h + 1. Let m = -6 - -4. Let x(t) = -13*t**2 + 8*t - 4. Let l(v) = m*x(v) - 9*p(v). Determine q, given that l(q) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (((sqrt(1573) - (1 + sqrt(1573) + -2)) + sqrt(1573) - sqrt(1573)) + 2 - -1*(sqrt(1573) + -1 + sqrt(1573) + 3)) + 5)**2.\nAnswer: 220*sqrt(13) + 6317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1302 and 45409.\nAnswer: 8446074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 14*i + 15*i + 49*i + 10730 for i.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 107293720.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**5\/20 + 5*o**4\/6 - o**3\/2 + 2*o**2 - 14*o. Is k(-10) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 0*q**2 + q - q**2 - 12*q**3 + 0*q**2 - 2*q**2. Calculate z(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2 + 4. What is the second derivative of i*h**2 + 2*h**3 - 3*h**2 + 4*h wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 28 = -5*u + 11*r, -r = -u + 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -197\nAnswer: -4\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 66*q**2 - 2*q - 26. Let f be r(-4). Let w = 77849\/75 - f. Which is smaller: -2\/9 or w?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 62878, 128060, 193242, 258424, 323606, 388788?\n\"Answer: 65182*d - 2304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.4 (c) 56971\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*b = -664199 - 756793, 0 = b. Suppose 0*q + 4*q = c. Let j = q + 231584. What is j rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367847603.\nAnswer: 137, 2685019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3839.927 kilograms?\nAnswer: 3.839927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29.7, 5, 2\/407 in descending order.\nAnswer: 29.7, 5, 2\/407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*k + 59 = 10*k, -2*k = 2*f - 124. What is the remainder when f is divided by (0\/(-1) - -21) + 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 30294080*z - 57358205190400.\nAnswer: -4*(z - 3786760)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2057\/7 + -293. Let g = 2 - w. Let p = 0 - 0.2. Which is greater: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 1620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 10*o + 261. Determine j(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -38767?\nAnswer: -38767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31246 or 531188\/17?\nAnswer: 531188\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*s = -8*s. Suppose s = 12*h - 11*h - 260. What are the prime factors of h?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2217)\/(-21) - 24\/42. Let a be 30\/p + 24\/14. Solve -4*m - 5*y = 13, -a*y - 1 = m - 3*y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 5 (b) 4 (c) 8154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5868 and -3?\nAnswer: 5871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -115?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 12 = -2*x, -g + 0*g + 11 = -x. Suppose 20 = -5*j - 0*j, -d = 3*j - g. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 - 5*y**2 + y - 2. Let m be v(-4). Suppose r + m = 3*r. Calculate the remainder when r is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2772 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78706257?\nAnswer: 3, 7, 3747917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 199\/(5 - 238\/49) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**7\/56 + 13*o**6\/120 - 11*o**5\/40 + 3*o**4\/8 - 7*o**3\/24 + o**2\/8 - 53*o + 3. Let f(l) = 0. What is l?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398842917 to the power of 1\/4, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1 - (6 - 7)) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4 = 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 10*c - 15. Let a be u(5). Calculate the highest common factor of a and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 7*m**2 + 40. What is n(-7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 7761?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2499\/231 + 9\/(-11) + 1. Solve 3*a = 4*d - 1, 4*a = a + d + f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.11817593 + -1.1183. Round f to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**0*l)*l)**(2\/7)*l**(-4\/3)*l**7*l assuming l is positive.\nAnswer: l**(146\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**7)\/n**(4\/5))\/((n\/(n*n\/n**(-5\/4)))\/n**(1\/3)) assuming n is positive.\nAnswer: n**(647\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 3.1. Suppose 0*c - 4*c = -8. Which is bigger: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84 + 79. Which is the fourth biggest value? (a) 4\/3 (b) p (c) 7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/11191 and -67\/1705.\nAnswer: 615505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44.291 - -44.091. Let s be (18\/(-4) + 2)*2. What is the nearest to 1 in -2\/11, r, s, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*c**2 + 6*c**2 + c**2 as s*c**2 + m + f*c and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -328 - -321.52. Let r = o - 0.22. Let v = r + 1.1. Round v to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 11.9. Let o = 0.9 - z. Which is the third smallest value? (a) -5 (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c - 80 = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 241779938?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 489*o - 481*o. Sort o, -4, 1\/3 in decreasing order.\nAnswer: o, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/5))**(-2\/3)*(d**(-3\/2)\/d)\/(d**(-1\/11)\/d) assuming d is positive.\nAnswer: d**(-199\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*-3*sqrt(500))\/(sqrt(640) - -1*sqrt(640)))**2.\nAnswer: 2025\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/15 less than or equal to -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8125867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/35)\/(((-48)\/(-4))\/360).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = 3*n - x - 209, -5*n = 2*x - 904. What is the highest common factor of 26 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgt when three letters picked without replacement from gxctxkcktththgc?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -6. Solve -4*y + b - 6*b - 25 = j, 3*b = -3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -120509, -9, 1, -2 in increasing order.\nAnswer: -120509, -9, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 944.19378ms to days.\nAnswer: 0.00001092816875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 19, 3, 82, -5568 in decreasing order.\nAnswer: 82, 19, 5, 3, -5568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pkkpppfpppkkk. What is prob of picking 1 p and 3 k?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (3 - 5) - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 25*t. Let o(k) = 17011801*k**2. What is o(a(x))?\nAnswer: 10632375625*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3662, -3648, -3632, -3614?\n\"Answer: w**2 + 11*w - 3674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*i + 59286 = 415*i. Solve 64*y = -i + 507 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 8 + 11)*((-1 + 1 - n)*(2 - 2 - 2) + n + 0*n + 0*n) + (9*n + 5*n - 4*n)*(3 - 5 + 0).\nAnswer: 31*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*i - 3*b + 462290 = -93*i, -2*b = 2*i - 231146. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, -12, -24, -36, -48, -60?\n\"Answer: -12*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(168)*6 - sqrt(168))\/(sqrt(768)*-1))\/(3*sqrt(242)*4*2).\nAnswer: 13*sqrt(7)\/2112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*i - 146*i + 350 = 31. Let n(d) be the second derivative of -d**3\/6 + d**2\/2 - d. Let o(x) = -6*x + 6. Determine i*n(p) - 2*o(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(7) + 0 + sqrt(7) + 0 + sqrt(14)\/sqrt(2))*6*-2)**2.\nAnswer: 3456*sqrt(7) + 11376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1526 or -1525?\nAnswer: -1526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 73755?\nAnswer: 73758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55964*o**3 + 8170720*o**2 - 298228652*o - 127896.\nAnswer: -4*(o - 73)**2*(13991*o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r + 1 + 9*r + 0 to t*r + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 728068*x + 121091?\nAnswer: 728068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i - 40 = 5*k, 2*i - 4*k = 68. Let g be 4\/(-6)*i\/4. Is -3 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 12:29 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 438180 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -124760 minus 2?\nAnswer: -124762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -4. Suppose -f*g - 10 - 17 = -3*u, -16 = 4*g. Put 3, -5, u in ascending order.\nAnswer: -5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zxxzzxzzxzzzxzzxzzz?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 bigger than -4\/575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 797166.1 tonnes?\nAnswer: 797166100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191, -753, -1681, -2975?\nAnswer: -4635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from bbkkqcyccukkkcbk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 9*i + 2. Determine f(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42345540 - 215?\nAnswer: 42345323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -g + 3*f + 96, 3*f - 72 = -3*g. Calculate the least common multiple of (55\/15)\/((-229)\/(-12) + -19) and g.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18589 and -0.076.\nAnswer: 1412.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10300, 82105, 276980, 656461, 1282084?\n\"Answer: 10256*b**3 - b**2 + 16*b + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2771, -5, 7, 5, -3, -17, 4 in increasing order.\nAnswer: -17, -5, -3, 4, 5, 7, 2771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 12:11 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-19) - 27413\/(-26372)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122846762 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 16983*j**3 - 8492*j**3 + 17*j**2 + 53 - 8517*j**3. Let h(n) = -9*n**3 + 6*n**2 + 18. Give 17*h(k) - 6*m(k).\nAnswer: 3*k**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {p: 3, h: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 12 = -0*i. Suppose -47 + 17 = i*b. Calculate the common denominator of b\/(-10) - (-150)\/(-3) and -69\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2607? (a) -7 (b) -0.07 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2665866, 2665670, 2665474?\n\"Answer: -196*g + 2666062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 322\/(-8) + (-1)\/(-4). Let j be o\/(-4 + 0 + 1 - -1). Solve -4*n = j - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + -3*(-1)\/1. Suppose 44 = -k*s + 4*s. Let w = s - 8. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - ((-7 - 55) + 3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 8:58 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 + -65 + (-198 - -130).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*v**2 - 4*v**2 - 52*v**2 + 26*v**2 + 17*v**2.\nAnswer: 31*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 86 - 41 - 10*c + 114 - 7. Calculate v(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 21*i**3 - 2*i**2 + 3*i - 2. Let q be v(1). Let n = q + -15. Suppose -n*w + 0*w = 20. Let y(d) = -d. Calculate y(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) - (-8)\/30. Which is the closest to 0.2? (a) -5\/4 (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**7\/63 - q**6\/15 + q**5\/15 + q**4\/9 - q**3\/3 + q**2\/3 + 15*q. Factor k(a).\nAnswer: 2*(a - 1)**4*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78\/5 + 16. Which is the closest to j? (a) 5 (b) -5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 + 6*i)*(10 + 0*i - 102*i - 8).\nAnswer: -612*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -5, -699\/5 in decreasing order.\nAnswer: -0.2, -5, -699\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58119 divided by 19373.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from aayyaayyaa.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 3. Suppose -5*n = 5*i - 30, 0 = 2673*n - 2675*n + 3*i - 23. Put 8, 1, n, u in descending order.\nAnswer: 8, 1, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*320\/(-2088))\/6 - 14\/203?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -6.6. Suppose -p - 2 + 5 = 0. Sort y, p, -3\/4 in increasing order.\nAnswer: -3\/4, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m**4 - 322*m + 5*m**4 + 328*m - 1 + 0*m**4 - 4*m**4 + 3*m**4 + (-2*m**3 + 3*m**3 + m**3)*(2*m + 0 + 0).\nAnswer: 2*m**4 + 6*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38484 is divided by 161?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -17. Let l be 4\/(-6) + 46\/6. Let r be 2\/l - 132\/315. Put r, d, -5 in decreasing order.\nAnswer: d, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.07094704 and 0.2.\nAnswer: 0.27094704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 3. Let c = w + 12. Let g be 0*2\/c + 5. Calculate the greatest common divisor of 30 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2.792 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127.9123ml to litres.\nAnswer: 0.1279123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 6*g = 11*g + 35, g = -o + 2. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 320 = -5*q + 14, -2*q = f - 144. What is the remainder when 270 is divided by q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 3*k**2 - 7*k**2)*(-1 + 1 - 2*k)*(-2*k + 0*k + k).\nAnswer: -14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 429, 865, 1311, 1773, 2257, 2769, 3315?\n\"Answer: h**3 - h**2 + 432*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -159, -301, -441, -579, -715?\n\"Answer: k**2 - 145*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 654 = 4*r - 663, 22 = 4*c + 2*r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 41 + 163. Suppose r = 5*a - 8. Suppose -j + 13 = i, -a = -2*i + j + 1. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {t: 4, k: 1, d: 4, p: 1, b: 7, m: 3}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -9389*c**2 - 2. Let s(z) = 4702*z**2 + 1. Calculate -3*o(f) - 5*s(f).\nAnswer: 4657*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 9 + -9 + 2 - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-7) - (-183)\/(-21). Let d(a) = 3 + 6*a + 0*a - 3*a + 4. Let w(g) = 7*g + 15. Let q(s) = n*d(s) + 4*w(s). Find the first derivative of q(x) wrt x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -x - 4*u, -5*x - 7*u - 31 = 51 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 134, 266, 398, 530, 662, 794?\n\"Answer: 132*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 10) to base 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-5))\/(2\/(-70)). Suppose -3*f = -3*t + t - g, f - 14 = -4*t. Calculate the remainder when 19 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50 + 14617330?\nAnswer: 14617260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139975 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*f**5 - 36*f**5 - 4*f**5 + (-f**3 - 4 + 4)*(3 - 3 + 2*f**2).\nAnswer: -75*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 155.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331702 is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q**2 - 7 + 49 + 4*q - 2*q**2 - 13*q**2 to l*q + h + u*q**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -974508, -974506, -974504, -974502, -974500, -974498?\n\"Answer: 2*p - 974510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*n - 6723 + 14546 + 17566 = 755*n for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 125*v**3 - 44*v**3 - 49*v**3 - 43*v**3 + 2*v.\nAnswer: -11*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 261933094 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.46 + -0.46. Which is smaller: 1\/10 or n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 287 + 1017. What are the prime factors of (5\/(-20)*1)\/((-2)\/l)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*o - 2*s, -4*o = -3*s + 3 + 3. Suppose 2*a + o*a = 24. Suppose -9*f = -5*f - a. Solve f*c - n = -4*n, -3*c + n = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 166*x**2 + 3014*x - 9429. Determine b(-24).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 375055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2521*c**3 - 7561*c**3 + 2523*c**3 + 2514*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 9*m**2 - m - 200*m**2 - 520*m**2.\nAnswer: -729*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 325 divide 33589400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 34*i**2 - 38*i + 100. Calculate k(35).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*r - 10*r - 104968. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42 - 68 - 23 - 46)*(-15*y**2 - 138 + 138) in the form b*y**2 + k*y + q and give b.\nAnswer: 2685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2983953*h**6 - 2813*h**2 + 10*h + 14.\nAnswer: 358074360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + 2*sqrt(80) + -4 + -2.\nAnswer: -9 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.5 (b) 1 (c) 485\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 7*d + 32. Let p be d\/136 - 302\/(-16). Solve 6*l + 1 = p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82469, -82468, -82467, -82466?\nAnswer: -82465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 474 - 477 - (1 - 0 - -10).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from {f: 4, y: 16}?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 52 = 2*l, 4*d - 21 = -5*l + 43. Let s(c) = -c**3 + 42*c**2 - 45*c + 168. Let q be s(41). Solve -5*w = -4*a - w, l = q*w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**4 + z**2 + 33*z + 0*z**2 - 35*z to the form k*z**3 + u + s*z**2 + g*z**4 + n*z and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3479990208 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 2, j: 3, b: 5, d: 7}. Give prob of sequence dj.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191922258 to the nearest integer?\nAnswer: 13854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 568 + -8512\/15. Let r(u) be the first derivative of 0*u - 1\/4*u**4 - 2\/5*u**2 + 6 + 1\/25*u**5 + i*u**3. Factor r(t).\nAnswer: t*(t - 2)**2*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + (-3)\/(171\/(-323)). What is the smallest value in m, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1705*i - 5673. What is x(3)?\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2673))\/(sqrt(11) - (sqrt(891) - (2*sqrt(891) + sqrt(891) - sqrt(891)) - sqrt(11)))*2 + 3.\nAnswer: -36*sqrt(3)\/11 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 8\/(-6))*18. Let t(f) be the third derivative of -36 + 1\/12*f**4 + 1\/3*f**3 - 1\/60*f**5 + 0*f + f**2. What is t(b)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41114415 + -134?\nAnswer: -41114553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 300 = -2*r. Does 25 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1185 = -3*m + 4*r, 3*m + 4*r - 3*r = 1170. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -5*c + 166. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.091462992 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 196699355426\nAnswer: 196699355425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16067 - 5418. What are the prime factors of d?\nAnswer: 23, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2378061053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*r - 73*r + r**2 + 36*r.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/5 and 19\/22182?\nAnswer: 110910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-20))\/(1\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 6:01 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 11*x**2 + 5*x - 23. Let n be l(11). What is the hundreds digit of (81\/(-4))\/((-4)\/n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6499 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 45 + (-11 - (-8 - (3 + 6 + -12))).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4035048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10890\/(-10780) - (-5)\/6 and 47\/9?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 - -95. Let x be (6\/20)\/(21\/z). Sort x, 2\/25, -1 in increasing order.\nAnswer: -1, 2\/25, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4460179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-495)\/(-27)) + 23?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20112021011 - 1102111?\nAnswer: -20120200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227, 233, 243, 257?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 + 2996*v**3 + 6004*v**2 + 3004*v.\nAnswer: -4*v*(v - 751)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300267*f + 600565*f - 300251*f.\nAnswer: 47*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -131 - 27.6092.\nAnswer: -158.6092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29490868, -58981739, -88472610, -117963481?\nAnswer: -147454352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1204\/86)\/((-3)\/53). Is d greater than -246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 - 3 - (0 + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*(-5633)\/(-741). Let o = 8\/247 - x. Calculate the common denominator of 41\/2 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/41)\/(b**(4\/15)*b))\/(((b\/(b*b\/b**12*b))\/b)\/(b\/(b**(-9)\/b))) assuming b is positive.\nAnswer: b**(421\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4210 + -320?\nAnswer: -4530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 11:24 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, w: 1, j: 1, i: 2, f: 1, o: 2}. What is prob of sequence jfw?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.107 * -432.4.\nAnswer: -46.2668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -250.\nAnswer: 1\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmvmmmmvmmmvmmmmvm. Give prob of picking 1 m and 1 v.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqioflqow. What is prob of sequence qlq?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 2 + 0*t + 1\/2*t**2. Let j(b) be the first derivative of -8*b**3\/3 + 2. Determine j(m(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1752 = 5*z + 1697 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 not equal to -460266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*b - 1464 = -1311 - 3897 for b.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 137*c**3 + 6 + 136*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-56)\/12) + (-5)\/(-6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4\/7)\/(o\/o**(-5)*o*o)*o**6\/(o*o**0\/o*o) assuming o is positive.\nAnswer: o**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -b + 94, -6*q - b + 160 = -q. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94300768?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/7 + 4\/(-14). Suppose -w*n + 0 = 4. Is (n - 0)*-10 - 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/4)\/((-3)\/16). Let f(l) be the third derivative of -1\/210*l**7 + 1\/3*l**3 + 0 - 5\/24*l**4 - d*l**2 + 0*l + 1\/120*l**6 + 1\/20*l**5. Factor f(i).\nAnswer: -(i - 1)**3*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 30. Put -3, 6, d in increasing order.\nAnswer: -3, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11064701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -303 + 2962. Let a = i - 2663.9136. Let p = 4.9 + a. Round p to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 42, -5, -4.\nAnswer: -5, -4, -2, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxgmgxxgmvxa. Give prob of sequence xmv.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/4*-1)\/(95\/(-380)))\/(-18).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, -1\/5, -2\/9, 2 in ascending order.\nAnswer: -2\/9, -1\/5, -2\/23, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**4 - 3*u**2 - u**3 - 1 + 2*u**4 + u**4 + u + 3. Let s(j) = -5*j**4 + 2*j**3 + 4*j**2 - 2*j - 3. Let d(i) = -4*k(i) - 3*s(i). Factor d(f).\nAnswer: -(f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2. Let d = -447 - -424. Let y = d + 36. Which is the biggest value? (a) y (b) -0.1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -66*k**2 + 2*k + 5. Let n(q) = -q**2 - 2. Give -d(j) - 3*n(j).\nAnswer: 69*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*z + 6*z. Let p(a) = 10*a**2 - 2*a**z - 4*a**2 - 3*a**2. Let l(x) = x + 84. Calculate p(l(f)).\nAnswer: f**2 + 168*f + 7056","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g + 8. Suppose -6*l + 11 - 23 = 0. Let p be 4\/((-24)\/l)*12. Let f be z(p). Solve f*x = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*j - 4)*(3 - 5 + 3) + (2*j + 8*j - j)*(1 - 2 - 1).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94671 divided by 507.\nAnswer: -31557\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yypynnfuqyyyn. What is prob of sequence nfu?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -13. Let f = -2.06 - -0.06. What is the second smallest value in k, 3, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -n + 4, 2*b - 7 = -3*n. Suppose 3*u + 2*u - 309 = b*j, 0 = -2*u + 5*j + 111. Let w = u + -36. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2778*u**2 + 2823*u**2 - 5001*u**2.\nAnswer: 600*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.16517\nAnswer: 0.16517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 44. What is the common denominator of 47\/27 and (-339)\/(-90) - 9\/s?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559445 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b + 7. Let r be y(5). Let n = r - -38. Let f = 30 - n. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (5 + 1 - (-2 - -18 - 22)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 45\/2 of a tonne?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12319 + -4719. Round k to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11008 and 60888?\nAnswer: 1948416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - d**2 + 2*d**3)*(190 - 190 - 78*d + 2 - d - 2 + (2*d - 1 + 1)*(5 - 4 + 1) + 2*d - d + 0*d + 0 + 2*d + 0).\nAnswer: -144*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388435188?\nAnswer: 2, 3, 997, 32467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 1. Let z(v) = -v**2 - v. Let x(y) = -10*y + 2 + 16*y - 8 + 7*y**2. Let i(r) = -x(r) - 5*z(r). Let d be (-50)\/5 - (-90)\/10. Give d*i(u) + 4*p(u).\nAnswer: 2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**5\/13 + 174*v**4\/13 - 2686*v**3\/13 + 7034*v**2\/13 - 6696*v\/13 + 2176\/13 = 0.\nAnswer: 1, 16, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 102*a**2 - 1416*a + 3224.\nAnswer: 2*(a - 62)*(a - 2)*(a + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tac when three letters picked without replacement from {a: 3, s: 4, c: 6, o: 1, u: 4, t: 1}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6733*s - 592514. Calculate v(-88).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1072, 2161, 3250, 4339, 5428, 6517?\nAnswer: 7606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38961*k + 38961*k - 96650*k**2.\nAnswer: -96650*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2276589525?\nAnswer: 3, 5, 7, 47, 257, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 h, and 1 f when three letters picked without replacement from epnndnfnndnnehdnhh.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1160 and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, -4, 1053 in decreasing order.\nAnswer: 1053, 4, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 948*i**3 - 485*i**3 + 2*i**2 - i**2 - 460*i**3.\nAnswer: 3*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/1 + 32 - 0. Suppose 5*u + 2*n + n = -42, n + p = -5*u. Let b be (-2)\/(-15)*u\/4. Does 0 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v - 7. Let m(r) = 18*r + 13. Let c(o) = 4*m(o) + 7*x(o). Let z be c(-2). Let a = 3 - z. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -90, 1\/5938, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d = 1609 + 1037. Let c = -25 - -43. What is the highest common divisor of c and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12664 + 7036. Round w to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 2*b**4 + (-5*b + b + 3*b)*(-84*b**2 - 15*b**3 + 84*b**2) to c*b + o*b**4 + p*b**3 + h*b**2 + w and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144, 282, 420, 558, 696, 834?\nAnswer: 972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 143 + 2*k + 2*k + 154 - 459 + 134 to y + s*k and give y.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75197 by 18.\nAnswer: 75197\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 5*p + 1. Let x be u(-4). Let a be (24\/10 + x)*-10. Is (3\/a)\/(2\/628) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 10:02 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, -5, 2, 6573, -11\/2, -1\/5, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - j**2 + j - 2. Let x be p(-2). Let c = 9 + x. Let u be (16\/36)\/2 + 385\/(-45). Which is bigger: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/133 - 37\/133. Let d(j) = 15*j + 5. Let z be d(0). Sort 7, c, z.\nAnswer: c, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-12))\/1)\/(223\/669)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15707 - 35?\nAnswer: 15682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -17. Suppose -11 = -3*w + 2*w + 4*v, m*v - 139 = -4*w. Let b(t) = -w*t - t - t. Let c(l) = l**2. Calculate c(b(f)).\nAnswer: 1089*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -858 divided by -78?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 36. Suppose -2*p + r = 2*r - s, 3*r - 9 = -p. Let l(w) = w**2 + w - 4. Give l(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -30*l - 44. Let v be o(-6). Let m(p) = -v - 6*p + 69 - 17*p - 1. What is the tens digit of m(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70924 + 0.00119\nAnswer: -70923.99881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-42)\/12 - -3)*(-2 + 2). Suppose f*i - a - 1665 = -2*i, 0 = 4*i + 3*a - 3335. List the prime factors of i.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 3:22 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -563835165967 and -3.\nAnswer: -563835165970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -3*z + 2*l, 3*z - 310*l + 331*l + 93 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*k + 1289 + 416 = 181 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d + d + 0*d**2 - 3 - d**2. Let y be c(3). Suppose g + 3*g = 8. Solve y*z + 2*t = 5, t = -7 + g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852169 a multiple of 1033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24960 - -24960.6. Which is the second biggest value? (a) -169 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w + 128. Let y be v(41). Put -49, 3, y, -3 in descending order.\nAnswer: y, 3, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -60 and 88006.\nAnswer: -5280360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - p + 1. Let g be x(1). Solve 4*n = -3*v + g + 2, 0 = 4*n - 5*v + 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2. Let y(n) = 2*n - 562. Give y(z(q)).\nAnswer: 2*q**2 - 562","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1178 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*d + 3*d = 716, -d = 3*i - 2098. What are the prime factors of i?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7967? (a) -5 (b) -37 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.83 + 0.43. What is the closest to 0 in -1, -5\/11, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*b**3 - 11623*b**2 - 384401 wrt b?\nAnswer: 42*b**2 - 23246*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13600 and 2400?\nAnswer: 40800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2207830243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6784, 0, -0.5 in decreasing order.\nAnswer: 0, -0.5, -1, -6784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (9 + 4 + -6 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 12:36 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4*g)*(784*g - 195 + 67 + 130).\nAnswer: 3136*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 11:08 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4455 is divided by 1109?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-2)*(-1552812)\/(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-1 + -1) - -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 12, f: 7}. What is prob of picking 2 u?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 2\/9 (c) 28.4 (d) -5830 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -30*h - 22. Let v be n(-5). What is the greatest common factor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*sqrt(15)\/sqrt(5) + 2)**2.\nAnswer: -48*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, -23 in descending order.\nAnswer: 10, 3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -14, 4 in increasing order.\nAnswer: -14, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5553226, 5553209, 5553182, 5553145, 5553098, 5553041?\nAnswer: 5552974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5964 divided by 71\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140004 (base 5) in base 3?\nAnswer: 1002011012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 7. Let a be c(6). Let q(p) = p + 1. Let i be q(1). Suppose 5*g + w - 5*w - i = 0, 5*w - 10 = 0. Put g, -5, a in descending order.\nAnswer: g, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1144103687 and 11.\nAnswer: 11.1144103687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10629 + 297579\/28. Calculate the common denominator of (-9)\/21 - (-1686)\/1680 and a.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*z + 11, -5*z + 0 = -r - 9. Let o be (z + -4)\/(4\/6). Let x(t) = t**2 + 2*t**2 + 4 - 2*t**3 + 0*t**2 + 3*t**3. Calculate x(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 5*k**2 + 5*k - 8. Determine z(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(133))\/sqrt(1008).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -14*q**2 + 5*q + 4. Determine l(3).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1261, -2242, -3223, -4204, -5185?\nAnswer: -6166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, j: 4, f: 10}. Give prob of picking 1 f and 1 j.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, a: 8, k: 2, m: 1, o: 1}. Give prob of sequence okk.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*m + 3495. Suppose 0 = 2*a - 15433 + 15429. Let k be (0 - a) + (m - 1). Round k to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2. Let d(z) = -2*z + 7*z + 26*z. What is d(l(a))?\nAnswer: -31*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.92 + -8. Let t = 0.02 - i. What is the closest to t in -2\/5, 6, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**3 - 552*w**2 + 24850*w + 25404 = 0?\nAnswer: -1, 58, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175 > 3523\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -424533314 (base 6) in base 13?\nAnswer: -172b7c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 886 a factor of 1250857034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2. Suppose -5*j - 8 = k, 3*j = -k + 2*j. Let d(m) = 0*m**2 - 2*m**2 + 0*m**k + m**2. Calculate d(o(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10115529 divided by 3.\nAnswer: -3371843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43136797 and 2841.\nAnswer: 129410391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364 - 1052 - 40962*z + 346 + 342.\nAnswer: -40962*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**4 - 10*f**3 + 28*f**2 - 28*f - 4. Let k(v) = 2*v**4 - 11*v**3 + 29*v**2 - 27*v - 3. Let i(p) = 4*k(p) - 3*w(p). Suppose i(t) = 0. What is t?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 378401178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (168\/(-18))\/14*(-18)\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11790 - -11789.9. What is the fifth biggest value in -0.3, q, -8.3, 5, -1\/6?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*n + 5*k, -38 = -4*n - 0*n + 2*k. Let q be (0 - 0)\/(17 + -19). Suppose 3*t - n + 28 = q. Is t equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k + 3. Let v be g(3). Suppose -5*b - 4*d + 56 = 0, -4*d + 1 = -b - 7. Let l = 3 + b. Solve -7*j + 2*w - v = -3*j, -3*j - 2*w - l = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-1 - 6 - (-7 + 2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 648335 divided by 5?\nAnswer: 129667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 5*b - 77. Let k(v) = v**2 - 4*v + 15. What is the units digit of k(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8374682428162 plus 0.45?\nAnswer: 8374682428162.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - ((35 - 23) + -18 - 0).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n + 48. Let k(o) = -4*o + 49. Let p(s) = 4*i(s) - 3*k(s). Let y be p(13). Let u = -15 + 9. Does y = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 7*l + 19. Give x(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 at least -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 7:07 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*s + 54588, -12 = 15*s - 12*s. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 0) + (4 - 7). Let x = -2 - w. Solve 0 = 5*m + x + 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 - (68 + (-102 - -16))\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*v + 2713 - 95 + 1841 = 203 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {q: 10, f: 10}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtnnxenn. What is prob of sequence xx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 2*c + 0*c**2 + c**2 + 4 + (-7*c**2 + 0*c**2 + 5*c**2)*(-4 + 3 - 1).\nAnswer: 5*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 122*m**2 - 444*m - 98. Is g(-81) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*2*(-18 - (-142)\/8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4*a - 46 = 0, 354*g - 353*g = 4*a + 6 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5 = -21. Suppose 2038*b + 230 = 2084*b. Calculate the remainder when s is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8267863 is divided by 71894?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5122847?\nAnswer: 5122847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 2*f + 2*c - 18 = 0, 3*c - 3 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 998906\/28809 + -34 - (-2)\/(-54)?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5236 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 237 + -169. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36321617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 2*p. Let o be d(-2). Suppose 334 = 8*v + 58*v + 4. Solve -v*j + j = o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*0.2.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-9)\/30*2810\/843).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 20 = -6. Let r(b) = b**2 + b**3 + 0*b - a*b - 4 + 4. Let s(q) = q**3 + q**2 - 6*q. Determine 6*r(p) - 7*s(p).\nAnswer: -p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from igiiiigiiigi.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (159\/(-12))\/(2*(-21 - 10\/240*-501)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5441380988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83425100 + -83425099.54799397. Let x = -0.452 + u. What is x rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -18 + 28 + -12 + 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10861*g**3 - 6*g + 7257 wrt g.\nAnswer: 65166*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Let a be 1\/2*0\/(-3). Suppose -g*t = -a*t - 2. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/5 - -13\/15. Let x be (-3 - (-26)\/6)\/(216\/162). Which is the closest to x? (a) n (b) -4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 883.0818 millennia?\nAnswer: 10596981.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -3 + 17. Let r(f) = f**2 + f + 1. Calculate r(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -38*n**2 - 494*n + 2. Calculate z(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, 0, -32, 15, -4 in descending order.\nAnswer: 15, 0, -4, -32, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2 + 29673*f**2 - 29752*f**2 + 5 + 1 to the form w + x*f**2 + r*f and give x.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 57650083.\nAnswer: 57650080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 12*j + 5. Suppose 0 = d + 3, 0 = -5*q + 12*d - 10*d - 54. Calculate a(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i. Let r(m) = -m. Let w(b) = 6*o(b) - 3*r(b). Let k(c) = 2*c**2. Determine w(k(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/34113 and -121\/454566.\nAnswer: 37728978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(7*-3))\/((-7)\/14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by 6.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23932833?\nAnswer: 3, 7977611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -122\/3 - -41. Let u = 0.1 - 0.3. Let l = 6\/55 + 153\/110. Which is the closest to 0? (a) u (b) l (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208423551.\nAnswer: 3, 7, 29, 342239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((1 + 0)\/2)\/((-4)\/(-16)). Let i be (x\/(-4))\/((-1)\/(-162)). Let d = -62 - i. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 93\/881983?\nAnswer: 93\/881983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1395150 divided by 30.\nAnswer: 46505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 48 = m. Let b = m + 20. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 86 = -3*s + 2*k, 2*s - k = 54. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 26*f**2 - 30*f - 8. Let a be n(-27). What is the second derivative of a + 3*l**2 - l - 83 + 6*l**4 + 3*l wrt l?\nAnswer: 72*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -295*w + 468*w + 270*w + 332*w + 231*w in the form c*w + x and give c.\nAnswer: 1006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + (5 - 34) - -62) + (0 - -7)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, d: 2, s: 1, w: 2}. Give prob of sequence ow.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 0, 0*x = -4*s + x + 4. Do s and 2\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2724 and 20.\nAnswer: -2704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 12*k - 20. Let c be q(-14). Suppose -c = -4*g + 12. Find the second derivative of -5*z + 12*z**g + 3*z - 4*z - z wrt z.\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.004 - -0.004. Which is the closest to -1\/4? (a) f (b) -4\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1503 - 0.0001. Let v = h + 1.17. Round v to three decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163069975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 109715523737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*(-5*(sqrt(684) + 0) - (sqrt(684) + (4 + sqrt(684))*1)))**2.\nAnswer: 336*sqrt(19) + 33529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -43883.4165 - -1.3\nAnswer: -43882.1165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267838795.\nAnswer: 5, 7, 23, 313, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12844 - -12855. Let u = 0.06 - -0.94. Put l, u, -0.4 in ascending order.\nAnswer: -0.4, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6176056?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13905198.\nAnswer: 2, 3, 383, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5382650953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5125\/(-820) + 2*2\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -292*l + 1819 + 1977 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = v + x, -2 + 1 = x. Suppose -13*a = -19*a + v. What is the lowest common multiple of a and 7\/(12\/4 + -2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 282035872?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 0.0388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -8*o**3\/15 - 4*o**2\/5 - 2*o\/5 - 10. Factor l(u).\nAnswer: -2*(2*u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + -12 + 6 - -85?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763235.\nAnswer: 5, 11, 13877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 - 4*s - 4. Let r be x(-3). Find the common denominator of (-53)\/(-3)*(-3)\/4 and 484\/40 - (-2)\/r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221350 rounded to the nearest 1000?\nAnswer: 221000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 26*m**2 - 25*m + 17. Let y be p(-25). Let d(r) = 27*r - 363. Calculate the least common multiple of 104 and d(y).\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.3 + -3.51. Let j = 1.89 - b. Is -139 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5114?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 - 77*t**2 + 39*t - 59. What is c(38)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f + 7*f**2 + 18*f - 5*f.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5 + 12*v**4 + 8*v**3 - 12*v**2 - 10*v = 0 for v.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/1090 and 97\/218.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(5))**2 + -3 - (3*sqrt(5)*2)**2 - (-3 + (-1 + sqrt(180))*5)**2.\nAnswer: -4702 + 480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*t**3 - 3*t**3 + t**4 + 213*t**2 - 212*t**2 + (t**2 + 26*t**2 - 5*t**2)*(2 + 3*t**2 - 2) - 2*t**4 + 4*t**4 - t**4.\nAnswer: 68*t**4 + 13*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 48*k - 10 = -44*k, 3*z + 3*k = -15 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 + 1)*(2*n**2 - 3*n**2 + 2*n**2) + (-2*n + 3*n + 0*n)*(-n - n + n) + 0*n + 0*n - 2*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 + 64 - ((-3 - (6 + -1)) + 28)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/72 and -85\/112?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1150 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from ddddtdtdttd.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20676208 divided by 8?\nAnswer: 2584526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -247 - u - 11*u + 270 + 4*u**2. Let i be a(16). Round i to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) - (sqrt(19) + 1)*6)*3.\nAnswer: -15*sqrt(19) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -108*p - 265. What is the tens digit of g(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*m - 2*m. Let t(q) = m*q + 0*q - 3 + q**2 - 10*q + 13*q. Let v(l) = l**3 + 5*l**2 + 5*l. Let w be v(-4). Determine t(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0*7\/(-84))\/(-6))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/72 and -37\/142722?\nAnswer: 570888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16030)\/(-25) - 2 - (-12)\/15. Suppose 26*v = 36*v - d. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w**2 - 64. Let r(u) = -23*u**2 - u - 14*u + 192 + 15*u. Let y(s) = -7*q(s) - 2*r(s). Differentiate y(o) with respect to o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 818563.8 weeks in microseconds?\nAnswer: 495067386240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/844 or -12333?\nAnswer: -9\/844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2438664 + 2*s**2 - 2438664. Let z(y) = -897*y**2. Calculate b(z(r)).\nAnswer: 1609218*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16570 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 586 = -581 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3422130 (base 5) in base 3?\nAnswer: 10002120010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**4 + 2*x**4 - 2*x - 28*x**3 + 30*x**3 - 2*x**2 to f*x**3 + v + q*x**4 + m*x + s*x**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 + -110. Let b be 2\/m + 4\/(16\/(-5)). Let d(i) = i. Let h(j) = 27*j - 38. Let o(u) = b*h(u) + 3*d(u). Find the first derivative of o(w) wrt w.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-6))\/(10\/(-9)). Suppose -3*j + 25 = -2*o, 10 = -4*o + j + 5. Which is the closest to -1\/6? (a) -3 (b) o (c) 0.4 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -440 + 3947\/9. Let u be (-6)\/16 + 981\/(-648). Let n = u - s. Sort 3, 4, n, 5 in decreasing order.\nAnswer: 5, 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205824.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - h + 15 = -0, f - h = 0. Let o = 5 - 3. What is the least common multiple of 22 and (-2)\/f + (-352)\/(-20) + o?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y - 4*y - 6*y - y**2.\nAnswer: -y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -3*c**7\/140 - c**6\/24 + c**3\/3 - 1. Let v(w) be the third derivative of h(w). What is the third derivative of v(y) wrt y?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7088, -7093, -7098, -7103, -7108, -7113?\nAnswer: -7118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 3}. Give prob of picking 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - k**2 + 1. Let w be a(1). Let j(l) = 0*l**2 + w - 1 + 2*l**2. Let d(f) = 2*f**2. Give j(d(c)).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, k: 12, c: 2}. What is prob of sequence ctk?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 4:59 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 3:09 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 4. Let f be g(-3). Which is bigger: -3\/4 or f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(54)\/sqrt(6)) - (1*(-2 + sqrt(3)) - sqrt(3)).\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.931896 and -3.\nAnswer: 5.795688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3 - 337*s + 3 + 341*s. Let p(z) = 7*z + 9. Let v(t) = t + 1. Let i(j) = 2*p(j) - 18*v(j). Give y(i(o)).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 475 and 22135?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**4\/2 + 75*t**3\/2 + 325*t**2\/2 + 525*t\/2 + 135 = 0. Calculate t.\nAnswer: -9, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(13)) + 5 + -1)**2.\nAnswer: -96*sqrt(13) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -180*d**3 - 160*d - 11. Let b(f) = 36*f**3 + 32*f + 2. Let c(n) = -11*b(n) - 2*w(n). Find the second derivative of c(a) wrt a.\nAnswer: -216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s + 7. Let p(w) = -w - 4. Let c be p(-3). Let i be 1\/((-3)\/(-15)) - 1. Let k(j) = -j + i + 2*j - 5. What is c*n(q) - 5*k(q)?\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5*j - 442, 3*j + 476 = p + 36. Let x = p + -266. Calculate the highest common factor of x and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16440803?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -1, 12\/23, -2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1715) + (sqrt(1715) - ((3*(-1*sqrt(1715) + sqrt(1715)) - sqrt(1715) - sqrt(1715)) + sqrt(1715))))\/((sqrt(847) + sqrt(847)*1)*-6 - sqrt(847)).\nAnswer: -21*sqrt(5)\/143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51229 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -4*f + 6. Let w be f\/(38\/(-44) - (-1)\/1). Let a be w\/(-77) + (-4)\/(-14). Solve 2 = -a*i, 19 = 4*k - 4*i + 5*i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2011221021121 (base 3) to base 12\nAnswer: 47b3a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 9 = 4*g. Let l = 14 - g. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 190 - 154. What is the highest common factor of o and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 25*j**2 - 11*j - 13. What is the hundreds digit of l(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -7 (b) 2\/11 (c) -0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -68 and -20020884557.\nAnswer: -20020884625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -150370 + 236358. Suppose 2*i - 4*l = n, -15 = -3*l - 6. Round i to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 15\/54646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79579833?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3206*o**2 + 3202*o**2 - 190*o + 76*o + 432*o + 730*o = 0.\nAnswer: 0, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-5 + (12 - (-4 - 4)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 + (17 - (-2 - -3))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56872 and 72992.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -572540 + 930789. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from cbcbddbbbddddddbmbd.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 14 + -10 + -2 + -4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 2*a + 2. Let r be v(0). Suppose u = r*u. Solve -5*w + 4*j - 28 = u, 0 = -4*j + 8 - 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/28 - 144\/308\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 6. Let j(h) = 4*h**3 - 5*h - 4*h**3 - h**i + 5 - 4*h**2 + 6*h. Is j(-5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -771\/144343 in 2\/9, -2\/19, -4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 322*l - 14. Let g be t(13). Suppose -4*v - 1456 = -g. Let w = -308 + v. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 f, 1 q, and 1 u when four letters picked without replacement from {p: 1, q: 1, u: 1, f: 1, i: 10}.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0023016 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -96098657 - -12.788?\nAnswer: -96098644.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1424\/429187 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/11 + 485*c\/11 + 5964\/11 = 0 for c.\nAnswer: -12, 497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - l)*(-18175*l**3 + 18157*l**3 + 26 - 7).\nAnswer: 18*l**4 - 19*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 6:59 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 364449 and -0.09.\nAnswer: -32800.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*t. Suppose 2*d + 14 = -t. Is 1 + 0 - 119\/d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/131 + -247\/1965. Suppose -2 = 2*t + 5*f - 19, 0 = -3*t + 5*f - 37. What is the second biggest value in t, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a kilogram in grams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70691 divided by -5.\nAnswer: 70691\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 36. Let j be l(-25). Suppose -47*v - 22610 = -j*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/2 and 77\/58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32453\/6 - 5409. Let o be -2*2*(-2)\/(-32). Which is the nearest to o? (a) -5 (b) -4 (c) 2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-24))\/((-250)\/60)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-nine fifths of a hour?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58)\/783)\/((-39)\/27).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8588 and 72433?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 r, and 1 z when three letters picked without replacement from {x: 2, w: 2, z: 1, r: 1, o: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**5\/120 - 5*g**4\/48 - g**3\/3 - 17*g**2\/2 - 22*g. Let z(j) be the first derivative of m(j). Find d such that z(d) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 3.6, -957?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-264) + (25\/6)\/((-176)\/1312)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.3955 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.087\nAnswer: -0.0174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(405))*6.\nAnswer: -6 + 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-15)*(-75)\/45?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 = 0, 4*a = a - k + 8. Suppose -4*w - 19 - 8 = 3*o, -11 = a*o - 3*w. What is the units digit of (o + 2)\/3*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -810444*w. Let p(f) = 3*f + 7. What is p(u(t))?\nAnswer: -2431332*t + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1887756.3 months?\nAnswer: 157313.025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218659?\nAnswer: 7, 31237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*2\/(2 + 0). What are the prime factors of 3\/(((-1)\/c)\/1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3b14613 (base 12) to base 14\nAnswer: -17b2663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 60\/805589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -92 (base 11) to base 16\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*n + 10*n - 2*n**4 + (2*n**2 + 0 + 0)*(30*n - n**2 - 30*n) - 2*n**4 - 3*n**3 + 3*n**3.\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-82)\/287 + 82\/(-7). Sort -20, 2, -2, z, -3.\nAnswer: -20, z, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -199*p**2 + 5*p - 7. Let g(u) = -2*u**2 - u + 1. Determine -f(x) - 5*g(x).\nAnswer: 209*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 2460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 4*u**2 - u - 11. Let b be z(-3). Suppose 4*k = 2*k + 3*d - 2, d + 2 = 2*k. Sort k, b, -3 in increasing order.\nAnswer: -3, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-4)*8\/(-12). Put 1, 0, k, -3 in decreasing order.\nAnswer: k, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*m + 20*m**2 - 80*m**2 + 24*m**2 + 35*m**2.\nAnswer: -m**2 + 157*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -6)\/(-63)*-1*3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + r + 70, 2*r - 35 - 23 = -3*x. Let q = 22 - x. Solve 5 = -q*d - 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by -1213?\nAnswer: -31\/1213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 112 (b) -1 (c) 0.5 (d) -3\/4 (e) -12 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10, a: 3, j: 5, c: 2}. What is prob of picking 1 j and 1 q?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183 + 5*u**2 - 5*u - 177 + 360.\nAnswer: 5*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1629 divided by 1759\nAnswer: 1629\/1759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 7*a**5\/120 - 3*a**4\/8 + 5*a**3\/6 + 4*a. Let n(i) be the second derivative of f(i). What is the tens digit of n(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 5. Let u be 5 + -4 - (-14)\/r. Let a = -0.98 - -1.08. What is the closest to -1 in u, -0.2, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**38*o\/(o*o\/o**20))\/(o**(-28)\/o*o\/(o**(2\/15)*o)*o))**(3\/11) assuming o is positive.\nAnswer: o**(152\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3420*f**3*m**3 - f**3*m - 29*f**2*m**2 - 778*f*m**3 - 701*m**3 + 1 wrt f.\nAnswer: 20520*f*m**3 - 6*f*m - 58*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*q + 2*q - 16, -2*i + 2*q + 12 = 0. Suppose -i*u = 2*u - 24. Suppose 3*n = u*n - 69. Calculate the remainder when 66 is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 817783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 61533\/(-774)*70\/(-105)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 325*s**4 + 2*s**3 + 8282*s**2 wrt s?\nAnswer: 7800*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g. Suppose 3*w = 22 - 7. Suppose w*d + 4*j + 28 = -7, 3*d - 16 = 5*j. Determine z(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/4, 2151\/4, 23\/3?\nAnswer: 2151\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 5. Suppose u + 0*u = o. Which is the closest to u? (a) -0.2 (b) -3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115511295 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 453*s**3*x**2 + 7746*s**3 + 126659*x**2 + 4 wrt s.\nAnswer: 1359*s**2*x**2 + 23238*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11930.36 - -60789?\nAnswer: 72719.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -46*m. Let s(c) = -2*c - 6. Calculate s(r(q)).\nAnswer: 92*q - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231925 is divided by 1349?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004464825158 rounded to six decimal places?\nAnswer: 0.004465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 622\/1045 - -1\/209. Suppose -1\/5*g**3 - w*g**2 - 2\/5*g + 0 = 0. What is g?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 10*l**5\/3 + 964*l**4\/9 + 2828*l**3\/9 + 1000*l**2\/3 + 1222*l\/9 + 116\/9 = 0.\nAnswer: -29, -1, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.95, 3, 2\/7, -2\/7, -2\/139, 1 in increasing order.\nAnswer: -1.95, -2\/7, -2\/139, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11648 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y = 2*z + 32, 97*y - 100*y = -4*z + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2812255, 5624501, 8436743, 11248981, 14061215, 16873445?\nAnswer: 19685671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 6*k = -32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in -4, 5\/4, -2\/15, 4\/3, 3, 131?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0\/c)**(-32)\/((c**(2\/5)*c)\/c)**12)\/(c**(-1\/10)\/c*c*c**(-3)\/c)**(2\/109) assuming c is positive.\nAnswer: c**(2973\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7329094 is divided by 477.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14253359*f*t**4 + 2*f*t**3 - f*t**2 - 4*f*t + 3*f + 68*t + 708 wrt t.\nAnswer: -342080616*f*t + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15430 or 53?\nAnswer: 15430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 0 - 4 - 3 - 4. Let i be u(-8). Which is greater: i or -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4, d = -p - 4*d + 19. Suppose -4*r + p*r = 5*a + 30, -4*a - 22 = -2*r. Is 1\/44 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s - 6 + 6 + 2 + 2*s - 2 - 5*s + 4*s + 2*s + (1 - s - 1)*(0 - 2 + 0) - s + 0*s + 0*s + 4*s + 34*s + 3*s.\nAnswer: 51*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 9, j: 5, u: 5}. Give prob of sequence ju.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y - 2. Let d be (2\/(-3))\/(2\/(-6)). Let i(l) = l - 7. Let r(m) = -2*m + 17. Let n(b) = -5*i(b) - 2*r(b). Determine d*n(v) - s(v).\nAnswer: 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10, p: 10}. Give prob of picking 2 d and 2 p.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -19*c**2. Let l(q) = 3508*q**2 + q - 1. Calculate l(y(t)).\nAnswer: 1266388*t**4 - 19*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -5*d, -8 - 9 = 5*s + 4*d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7863759 and 3347937?\nAnswer: 338141637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -770 - ((-3)\/2 + (-7)\/(70\/25)). Which is smaller: -778 or g?\nAnswer: -778","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/54)\/((-2)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in years?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -13*v**2 + 5. Let l = 35 + -62. Let n(r) = -72*r**2 + 27. Let m(j) = l*s(j) + 5*n(j). Let k(q) = 2*q**2. Calculate m(k(g)).\nAnswer: -36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from yyyyyyyiiyiiyyyyyy?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 6:51 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - -84. Suppose -l = -4*h - h. What is the highest common factor of h and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-3 + (0 - -1)). What is the third derivative of 7 - 7 + l*y**5 - y**2 wrt y?\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 459*p**3 - 357 wrt p.\nAnswer: 1377*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4180794 to the power of 1\/2, to the nearest integer?\nAnswer: 2045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecfcclfc. Give prob of picking 4 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*o + 1314. Let i = -309 + o. Suppose 3*j - i = -4*s, 2*s = -3*s - 5*j + 165. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -809*z = -800*z - 17226. What is the highest common divisor of z and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*v**3 - 3 + 5 - 2.\nAnswer: 122*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z + 5*q - 23 = 0, z = 5*q + 19. Let f = 17 - z. Find s such that -4 - 2*s**f + 4*s**3 + 7*s - 13*s = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1057*681896.\nAnswer: 720764072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 4. What is the first derivative of d + 3 + c**4 - 2 wrt c?\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10529 - -10528.8. Is x at least -1156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - -0.03. Let d = -0.07 - q. Put 0.3, 0.9, d in descending order.\nAnswer: 0.9, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2. Let m(z) = -2*z**2 + 9273612*z. Calculate m(h(x)).\nAnswer: -2*x**4 - 9273612*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, -6, -13, -1, 3, -20 in ascending order.\nAnswer: -20, -13, -6, -1, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9380 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 907 - 489. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 3*l + 18, -5*l + 24 = 20*a - 17*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 21*z + 103. Calculate t(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - g - 9. Suppose g*p = 2*p + 4. Let x = -6.4 + 1.4. Which is the second biggest value? (a) 7 (b) p (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -345.1 + 344.8. Let d = -3 + -1. What is the closest to 1\/2 in -0.2, d, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 666 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.3 - -21.34. Let i = 4.11 - d. Sort i, 0, -1\/6 in decreasing order.\nAnswer: i, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24388656 - 16648656. Round r to the nearest one hundred thousand.\nAnswer: 7700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9293 + 27881\/3. Determine m so that -l*m**2 + 12 + 14\/3*m = 0.\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2854668?\nAnswer: 2, 3, 23, 10343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 11*21\/77.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -181426898*h**3 - 234573900*h.\nAnswer: -1088561388*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**4 - 4*w**2 - 10*w + 4. Let m(j) = -10*j**4 + 11*j**2 + 29*j - 11. Let d(g) = -4*m(g) - 11*n(g). Find the second derivative of d(a) wrt a.\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, e: 3, w: 7, y: 1, x: 1}. Give prob of sequence yaxw.\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 155018400 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2. Suppose 5*u - 4472 = -21*u. Let c(p) = -2*p - u + 95 + 74 + 3*p. Give c(s(g)).\nAnswer: -2*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(1 - 1 + 3*t**4) + t**4 - 2*t**4 - 2*t**4 + (3*t - 3*t - 3*t)*(1 - 1 - 2*t**3).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 17*o**2 + 10. Let j be h(17). Which is smaller: 0.6 or j?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*l**3 + 16*l**2 + 30*l - 18.\nAnswer: -2*(l + 1)*(4*l - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c**2 - 178*c + 130. Let i(z) = 4*z - 7. Let n(t) = 4*i(t) + 2*m(t). Find o, given that n(o) = 0.\nAnswer: -29, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/592 and -87\/28?\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 230001 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 14*s**2 - 15*s - 20. Suppose -53 = 3*y + 2*p, 4*y = p + 3*p - 44. Let t be g(y). What is the least common multiple of 5 and (-8)\/t - (-23)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -184, -309?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 z when three letters picked without replacement from qzczggcgggqq.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 not equal to -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f**3 - f**2 - f + 1. Let o = -4 + 6. Suppose -5*h = -5*v - 55, -5*h + 64 = v + 3*v. What is the remainder when i(o) is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + n**2 + n - 1. Let w(k) = 5*k**3 - k**2 - 4*k + 4. Suppose -14 + 12 = -2*s. Calculate s*w(u) + 4*q(u).\nAnswer: u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 3*g**2 + 7*g - 13. Let q(n) = n**3 - 5*n**2 - 8*n + 10. Give 2*q(w) + 3*x(w).\nAnswer: -w**3 - w**2 + 5*w - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10d5c0 + 26?\nAnswer: 10d5e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -101, -5, -2 in descending order.\nAnswer: -2, -5, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*k - 25*w + 30*w - 375 = 0, -2*w = -k + 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 540 = 4*n. Let c = 77 - 32. Let k = c - 30. Calculate the highest common divisor of n and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5798 is divided by 670.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7*z - 2 = 9*z, 5*n + z = 11. Solve 3*w = -6, 5*f = 2*f + n*w - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - n. Let r(b) = 12*b**2 - 5*b + 112. Let s(m) = -5*o(m) + r(m). Let g be s(0). Calculate the greatest common divisor of 28 and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*v - 71 + 35 + 35)*(2 - 4 - 2).\nAnswer: -124*v + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 0, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*i + 15*i = 5720. Let o be i\/25 - ((-36)\/(-15))\/6. Solve x + 3 = -2*r, 0*x - 4 = -o*x - 4*r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -143090 or -143023?\nAnswer: -143023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -49*d**3 + 4*d**2 + 3*d - 25. Is c(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 15\/(-3)) + 4\/1. Solve -c*k + 5*k = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 12 + 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-56)*1)\/(25\/(-175)) + -3*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27.2 + 27. Which is the smallest value? (a) t (b) 1\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 + 0. Let t = 57.4 + 0.6. Let z = 58.1 - t. What is the closest to z in b, -4, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 42984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p - 6*p - 2*p - 5*p in the form k + n*p and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j**6 - 3880*j**3 + 19*j**2 - 980*j + 1.\nAnswer: 480*j**3 - 23280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152\/355 + -2\/71. Let u = 42.98 + -43. Let g = u - 0.28. Sort 0, y, g in ascending order.\nAnswer: g, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 t when three letters picked without replacement from {m: 5, t: 8}?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*y - 148 = 0, 4*y = 3*x + y + 240. Let h be (-6 - 1)*(-858)\/x. Let j = -41 - h. What is the greatest common divisor of j and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*k**2 - 7*d*k - 7*k**2 + k wrt k.\nAnswer: -4*d - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*j**2 - 5 + 17 - 13 - 22*j**2 in the form z + n*j**2 + m*j and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-6)*(-4)\/(-42)*-1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k + 11. Let h(f) be the first derivative of -f**2\/2 - 3*f - 2. Let m(p) = -6*a(p) - 22*h(p). Let i(l) = -5*l**2 + 0*l**2 + 3*l**2. What is m(i(x))?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 559*o**3 + 44 - 280*o**3 + 42 - 276*o**3 - 140 + 44.\nAnswer: 3*o**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*v + 16 = -4, -5*w + 16 = -3*v. Let a(p) = -5 + p**3 + p**2 + 0*p**2 - 4*p - 7*p - 8*p**w. Is 19 a factor of a(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 3*q**4 - 4 - 14 + 13*q**4 + 14 + (-2 + 2 - 2*q)*(-5*q**3 + 4*q**3 + 2*q**3) + 4*q**4 - q**4 + 18*q**4 - 4*q**4 + 2*q**4 + q**4.\nAnswer: 34*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5871 is divided by 988.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(684) - (sqrt(19) + (-2*sqrt(57))\/sqrt(3)).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13799554 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(128) + 1)**2.\nAnswer: 32*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -33*l - 3. Calculate the remainder when s(-2) is divided by (-992)\/(-168) - 14\/(-147).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 12*k**2 + 6*k - 83. Let r be x(-8). What is the highest common divisor of 500 and r?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 6:59 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 3053?\nAnswer: 610.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -60.2 (b) -4 (c) 0.1 (d) 0.042\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.45 + -0.55. Which is the second biggest value? (a) -1 (b) n (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:06 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(6)\/sqrt(3) + sqrt(2)) + 4.\nAnswer: sqrt(13)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14326065 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62099 times 82?\nAnswer: 5092118","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6831 is divided by 2002?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-4)\/(-2))*25\/60.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 86.95, 0.1, -5, 0, 5.\nAnswer: -5, -4, -2, 0, 0.1, 5, 86.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6600262 + -2417262. Round t to the nearest one hundred thousand.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-12) + 1701\/36. What is the hundreds digit of 3*i - (-13 + 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-44) + 20\/11. Let v(z) = -z - 14. Let g(t) = t + 27. Let b(d) = -3*g(d) - 5*v(d). Let q be b(8). Solve -h + q = -x*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 - s**3 - s**2 + 5*s**2 - 3*s + s as n + d*s**2 + t*s**3 + j*s and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 662043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/3*a**2 + 2\/3*a**3 + 2\/3*a.\nAnswer: 2*a*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -9) + 5 + -13 + 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*f*s**2 - 75*f*s + 4*f - 650*s**2 - 5*s - 1 wrt f.\nAnswer: -4*s**2 - 75*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2504 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**4 + 183*k**3\/2 + 519*k**2 - 5287*k\/2 + 627 = 0.\nAnswer: -38, -11, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + (sqrt(1331) - (1 + sqrt(1331))) - (-2*sqrt(539) - sqrt(539)))**2.\nAnswer: -64*sqrt(11) + 11265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*(4 + sqrt(2299))**2.\nAnswer: -13889 - 528*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -r + 1129 + 6227, -p + 4*r + 7396 = 0. Calculate the greatest common factor of 84 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7329*j**4 + 43*j**2 - 9*j - 3.\nAnswer: -175896*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/25)*r**(-8\/3)*r**2*r*r**6)**(-25))**(3\/20) assuming r is positive.\nAnswer: r**(-469\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (37\/5 - 8) + (-9 - 24343\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(26) - (sqrt(1664) - sqrt(26) - sqrt(26))) + sqrt(156)\/(sqrt(6)*-3))\/((sqrt(72) - (sqrt(72) + 3*sqrt(72)*-2) - sqrt(72))*3).\nAnswer: -23*sqrt(13)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 t when four letters picked without replacement from {v: 1, l: 3, s: 3, t: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 466150 and 466125 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -167*q**5\/20 - 201*q**2\/2 - 29*q. Differentiate b(x) with respect to x.\nAnswer: -501*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 234423 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 86.3877us?\nAnswer: 86387.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + j + 1. Let f(u) = -4*u**3 + 8*u**2 - 13*u - 14. Let n(k) = -5*a(k) - f(k). Is 8 a factor of n(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21120 + 20031?\nAnswer: 101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {p: 7, j: 6, n: 6}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -4, -0.8, 7?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/7*2)\/((-14)\/49). Let i = -392\/2717 - 2\/209. Let b = -1.8 - -1.9. What is the nearest to -1\/2 in i, b, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9316 less than or equal to 4704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 48.029941 and -3469.\nAnswer: -3420.970059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3628 is divided by 165?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15127 or 15118?\nAnswer: 15118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4447 + 6339. Calculate the greatest common divisor of c and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 17*u**4\/6 + 5*u**3 - 2*u**2 + 28*u. Factor f(z).\nAnswer: 2*(z + 1)*(17*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 7:00 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4))\/(30\/(-40)). Let l be (1 - y) + (-2)\/(-2). Which is bigger: -0.2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 j, and 1 t when three letters picked without replacement from {x: 10, w: 1, p: 4, j: 2, t: 1}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by 90?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(143) + 1*sqrt(143))*6*-4)\/(-6*(-5*(sqrt(704) + (-2*sqrt(704) - sqrt(704))) + sqrt(704))).\nAnswer: -sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57500617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13850271*u**6 + 272647*u**2 - 151*u wrt u?\nAnswer: 1662032520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2022 = 4*g, -5*c + 0*c = 3*g + 1528. What are the prime factors of (5\/(-2))\/(-5) - g\/4?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 + 28\/1)\/(10\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**6\/120 + 13*l**5\/30 - 17*l**4\/24 + 17*l**3\/6 - 23*l**2. Is u(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**4\/4 + s**3 - 3*s**2\/2 + 5*s + 40. Calculate w(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 3, 9\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v + 35 = -5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z + 6. Let o(k) = 8*k - 10. Let i be 6\/(-10)*70\/(-14). Let d(v) = i*o(v) + 5*l(v). Let t(f) = -f - 28. Determine d(t(j)).\nAnswer: j + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/5 - 8*a**3\/5 - 6*a**2\/5 + 4*a + 16\/5.\nAnswer: 2*(a - 4)*(a - 2)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 16 = y, 3*j - 203 = 3*y - 293. Calculate the remainder when 103 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbdbzqb. What is prob of sequence bdzw?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 12:45 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3209588 rounded to 2 dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99945 and 1935?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 252206691569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 54482921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040425 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {x: 2, a: 2, t: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 143 - 250 = 4*m, -z - 5*m + 150 = 0. Let t = -74 + z. What is the remainder when t is divided by 39?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 177*m**2 - 7*m + 220*m**2 - 101*m**2 - 2 + 174*m**2. Let z be k(-6). Let s be 10*5\/(-4)*-5*z. Round s to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - 37326235?\nAnswer: -37326244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 + -56. Let d be f\/3 + -4 + 3 + 1. Solve -s = 2*a - 5, 4*s - 2*a + 32 = d*a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -19, -34, -35, -10?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 2 + (sqrt(325) - (-1 + -1 + sqrt(325))))*-3)**2 + 4 + -4.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -522 by -18.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 15*w**2 + w - 13. Let k(g) = -4*g**2 + 3. Let f(l) = -2*a(l) - 9*k(l). Let u(m) = 7*m**2 - 3*m - 1. What is -5*f(d) + 4*u(d)?\nAnswer: -2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67747 = -162*v - 69043 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3)*1 - (-51)\/((-714)\/(-112))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1276 + -1274. Let n(l) be the third derivative of -1\/4*l**4 - 1\/3*l**3 + 0*l - 5*l**h + 0. Let j(f) = -13*f - 4. What is -4*j(k) + 9*n(k)?\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - ((28 - 25) + (-3 + 15 - -14))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1555 or 0.5?\nAnswer: 1555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 - x + 1. Let d be m(1). Suppose 4*b - 3*n - 2*n = -9, -3*b = -d*n - 2. Suppose 2*w + 18 = 2*h + b*w, -3*h + 4*w + 41 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a7165 + 1a?\nAnswer: 6a7183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t**5\/3 - 87*t**4 - 2321*t**3\/3 + 2417*t**2\/3 + 1976*t + 1444\/3 = 0. Calculate t.\nAnswer: -19, -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9224683 kilograms to tonnes.\nAnswer: 0.0009224683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*g + 74*g + 77*g - 126*g + 68*g - 229*g.\nAnswer: -19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leeleelclleee. What is prob of sequence le?\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/25, 3122.665, -5 in ascending order.\nAnswer: -5, 2\/25, 3122.665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*c**4 + 0)*(-2*c - 6*c - 8*c) + (-42 + c**3 + 42)*(2*c**2 + 0*c**2 + 0*c**2) - c**5 + 2*c**5 + 0*c**5.\nAnswer: 51*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 177 = -2*v. Calculate the remainder when v is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k. Let f(a) = -23127*a + 1840. Calculate f(t(v)).\nAnswer: 115635*v + 1840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5.89 (b) 2 (c) 10 (d) -1\/5 (e) -3 (f) 0.5 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4679 + -4679. Let y(j) be the second derivative of -1\/3*j**3 - 9*j + 2\/3*j**2 - 1\/2*j**5 + v - 4\/45*j**6 - 8\/9*j**4. Solve y(s) = 0.\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-0.1549.\nAnswer: -1.0843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a9a - 2ab?\nAnswer: -1d67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 129 and 0.031.\nAnswer: 129.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a - 13. Calculate the remainder when 139 is divided by w(12).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4580, 9095, 13608, 18119?\nAnswer: 22628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**7\/2520 - f**6\/240 - f**4\/6 - 2*f**2. Let b(w) be the second derivative of k(w). Solve b(x) = 0 for x.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11108 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137552?\nAnswer: 2, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*-2*(-1)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -136, -173, -244, -355, -512?\n\"Answer: -v**3 - 11*v**2 + 3*v - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, 11, 5, -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 11:56 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -94\/3. Let z = -765.3 + 765. Which is the nearest to u? (a) -2\/5 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -132 - -76114?\nAnswer: 75762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*n = 6*v - 40, 2*v = -n + 10. Differentiate -1 + 0*k + v*k**2 - k + k wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 3:16 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -835075 (base 10) to base 16\nAnswer: -cbe03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8112.532 milligrams to tonnes.\nAnswer: 0.000008112532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.882 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1294 + 1296. Solve x*q = -2*q + 5*p, 21 = 5*q - p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.2 + 21.177. Let a = w + 1.023. Which is smaller: 0.02 or a?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*m - 55*m - 40*m + 35*m - 76*m - 128*m + (2*m - 2 + 2)*(-3 + 1 + 0) to the form a + l*m and give l.\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/1 - 3*7\/(-21). Let u(j) = j**3 - 4*j**2 - 22*j - 8. Calculate u(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/9*15)\/((-100)\/(-7980)*-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + (sqrt(171) - sqrt(171)*-2)*6 + sqrt(171) + sqrt(171) - sqrt(171))\/(sqrt(27)\/sqrt(3)*-6))**2.\nAnswer: 1900\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + a**2 + a - 1. Let t be s(1). Let f(m) be the first derivative of -1 + 0*m + 0*m**4 - 2\/45*m**5 + t*m**3 + 0*m**2. Factor f(d).\nAnswer: -2*d**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 5:35 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31\/5 of a millimeter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + d + 1)*(3 - 5 + 0)*(376*d - 618*d - 381*d + (-2 + 1 + 3)*(0*d - d - 2*d) + 2*d + 4 - 4 + 0*d + 3*d - 2*d) in the form s*d + w + q*d**2 and give q.\nAnswer: 1252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/108 and 131\/486?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 455\/1446482 or 1?\nAnswer: 455\/1446482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3533.791 + -3826.13. Let p = 292 + r. Let v = 0.039 + p. Round v to 2 dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95030511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(448\/21)*2. Which is the third biggest value? (a) -5 (b) 5 (c) s (d) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -613 or -7915?\nAnswer: -613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 494910.\nAnswer: 494910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*b = -8*s + 43*b + 4, 9*s + 23 = 2*b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56141 and 70629.\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (351*v**2 + 310*v**2 - 173*v**2)*(-3 + 12 + 15 - 6) + 4*v**2 + v**2 - 6*v**2.\nAnswer: 8783*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 210 = 3*f. What is the highest common divisor of f and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05298136 rounded to three dps?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, -46, -117, -218, -349, -510, -701?\n\"Answer: -15*t**2 + 4*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:46 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7117934km in meters?\nAnswer: 711.7934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -101\/3 (b) -6\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 - (22 + (-13 - 3))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84088\/469 - -1254\/7. Let h = -27 + 28. Which is greater: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9658*y - 6 - 9 + 18069*y - 8414*y + 15.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 408*l**3 + 2178*l**3 - 10*l + 10*l.\nAnswer: 2586*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3569697 - 3569702.8000432. Let k = h + 5.8. Round k to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29575 is divided by 165?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 27*f + 28. Let t be x(0). Suppose -z - t = -30. Solve -4*n + 8 = z*o, -o - o = 5*n - 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -94020218?\nAnswer: 94020219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10*y - 95. What is the least common multiple of h(-10) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520*f - 1048*f + 483*f.\nAnswer: -45*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1292*x**3 - 5 + 1280*x**3 - 2578*x**3.\nAnswer: -6*x**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**4 - 8*r**4 + 3*r**4 + (3*r**3 - 5*r**3 + 3*r**3)*(40*r - 28 + 28) to i*r**3 + g + t*r + c*r**2 + u*r**4 and give u.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17764 + -17764.2. What is the second biggest value in 362, j, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(1\/5)*u**(-7)*(u**(-1)*u*u)**(-17) assuming u is positive.\nAnswer: u**(-114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 0, -7830.\nAnswer: -7830, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbi?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 526991, 1053879, 1580781, 2107703, 2634651?\n\"Answer: c**3 + c**2 + 526878*c + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 f, and 1 n when three letters picked without replacement from fzffthznttzft.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -22. Calculate the remainder when (-42)\/(-4)*b\/(-7) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.9 - -2.1. Let u = f + -9.3. Is -2 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6240\/(-14560)*(7 + -1)\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-3)\/5)\/((-12)\/30)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -2283?\nAnswer: -2287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 5*s. Let a(g) be the first derivative of -1 + g**3 - 3\/2*g**2 + s*g. What is the second derivative of a(r) wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 + -1.1. Let g(r) = -r**2 + 2*r + 23. Let z be g(-4). Let v = -58\/95 - -4\/19. What is the nearest to 1 in f, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.707807t to grams.\nAnswer: 8707807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 4*j**2 + 14*j - 6. Let k be a(-6). Let c be (7 + -8)\/3*k. Solve -s - 8 + c = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5\/25 - 78*c**4\/25 + 614*c**3\/25 + 1014*c**2\/25 - 2488*c\/25 - 2808\/25 = 0. Calculate c.\nAnswer: -2, -1, 2, 13, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**3 - d - 1. Let g be f(-1). Let l(p) = -3*p - 13848 + 4*p + 13842. Determine l(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7*161\/414.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.15 and 0.35402?\nAnswer: 0.053103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -22*g + 1. Let j(y) = -y**3 + 30*y**2 + 135*y + 173. What is the remainder when j(34) is divided by k(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + z - 2. Let k(n) = -n**3 + 5*n**2 - n - 1. Let m be k(5). Let s be 0 + m\/(-2) + 0. Suppose 4 = 2*l + 2*h, -5*l - s*h + 8 = 2. Calculate c(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d - 3*d + 4*d)*(-d**3 + 2*d**2 - 2*d**2) - 2 - 2*d**4 + 2 + 45*d**4 + 4*d + 2*d - 5*d to the form w*d**4 + b*d**3 + p*d + k*d**2 + g and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 19892?\nAnswer: 79568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4 + 16*z**3 + 204*z**2 + 344*z + 160.\nAnswer: -4*(z - 10)*(z + 1)**2*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3792 times -1\nAnswer: -3792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 32, 5, 75\/2, 10, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 11*i**2 + 28*i + 27. Give r(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/((-4)\/15 - 3082\/8040)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 11\/6. Which is the nearest to -0.1? (a) s (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 6\/(-30)*-59 - 3\/(-15)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 619*i**2\/2 - 642*i + 419. What is the first derivative of j(x) wrt x?\nAnswer: 619","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33538956 divided by -3048996.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*g**3 + 5618*g - 84829 wrt g.\nAnswer: 18*g**2 + 5618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1312022021 (base 4) in base 8?\nAnswer: -1661211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -50201.5?\nAnswer: -50201.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/9)*l)\/l)**(2\/69)\/(l\/(l*l\/((l*l\/l**(3\/2))\/l))*l*l)**4 assuming l is positive.\nAnswer: l**(-1228\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 210.07213 - -0.02787. Let g = 210 - p. Which is the closest to g? (a) -0.1 (b) 4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) -4 (c) -5 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 51 - 14 = 0. Let v = p + -8. Calculate the remainder when v is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jucjuujecujegugcc. Give prob of picking 2 g.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 450163 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 2311.\nAnswer: -2316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/133)\/((-1)\/(-1))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*j - 925*j + 22394 = 471*j + 81503 for j.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31706492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 36 (b) -0.4 (c) 0.425\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.1 (b) -0.17 (c) 2\/809\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/265610 and 46\/3638857.\nAnswer: 36388570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -348 - -350. Sort -7, -3, c.\nAnswer: -7, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u + 49*u - 110*u + 53*u + 41*u.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8 + 12 + -5 + -18\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from sddsdsddsssdssddddsd?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eycwye. Give prob of sequence yw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6163813 and 1.5.\nAnswer: -9245719.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 657781 (base 10) to base 13.\nAnswer: 1a0527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33171674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x + 61 = -71 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 divided by -2330?\nAnswer: 93\/2330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29419, 59958, 90497, 121036, 151575?\nAnswer: 182114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + 1 + (-2 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.4675 to one dp.\nAnswer: 22.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 40 = -g, g = -3*l + 21 - 69. Let z be (-1)\/2 - g\/8. Suppose -4*r - 2*h = -3*r - 89, -4*h + 372 = z*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7 + 1 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from fgfuqfffgfffgzqugg.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1989\/68)\/(-13)*2\/15.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 141513, 283179, 424845, 566511?\n\"Answer: 141666*i - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 19.78. Let f = j + 12.22. Let z = -8 + f. Sort 1, -3, z.\nAnswer: -3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273.\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + a + 1. Let z(j) = j - 1. Let y(m) = -n(m) + z(m). Determine y(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8979036 is divided by 515?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 4*f**2 + 8*f - 4. Let t = 24 + -25. Let l = 4 - t. Determine x(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b - 4. Let a(c) = -15*c + 11. Let z(f) = 6*a(f) + 17*u(f). Let j(p) = -p. Let m(v) = -4*j(v) + z(v). Suppose 2*o - 17 - 6 = -35. Give m(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.81 + -12.81. Sort 2\/9, s, -2, 1 in decreasing order.\nAnswer: 1, 2\/9, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/22))**(2\/119))**(1\/6) assuming l is positive.\nAnswer: l**(23\/7854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2*o + 2 = 0, o - 6 = s + 3*o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7868, 15717, 23546, 31355, 39144, 46913?\n\"Answer: -10*k**2 + 7879*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -m + 4*o + 212, 3*m - 165 = o. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d**2 - 7*d**2 + 455*d - 459*d.\nAnswer: 9*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/2)*s*s*s)**(-32)*s**(-1\/4)\/((s*s**(-7))\/s))**11 assuming s is positive.\nAnswer: s**(-6039\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 10, h + 4*g + 7 = -13. Let z(y) = 2*y + 94. Calculate the remainder when z(h) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.14 - 11.14. Which is the closest to 10\/3? (a) h (b) 4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6424, 12848, 19272, 25696, 32120?\nAnswer: 38544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.798249 rounded to one dp?\nAnswer: 70.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y + 2069 = -3541. Does 27 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79688057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (7803\/(-504))\/17 - (90\/(-21))\/15\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 3:13 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/31482 and -58\/4055931?\nAnswer: 24335586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -7, 4, 5, 1, -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38b22 + 19?\nAnswer: -38b05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2 = -3*l. Suppose -l*g = -g. Let o(x) = x**3 - 13*x**2 + 11*x + 13. Let n be o(12). Which is bigger: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-24) + 142\/6. Suppose 0 = f*u - 21*u - 12422. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(8\/5)\/l*l*l)\/(l\/l**(2\/13)))**(-1\/36) assuming l is positive.\nAnswer: l**(-179\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*s - 77*s + 170*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 - 15. Suppose 0 = c + 5*m - 37, 4 = -3*m + 1. What is the highest common divisor of c and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**6\/20 + 4*d**5\/15 + d**2 + d. What is the third derivative of q(l) wrt l?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -1. Is ((-4)\/6*1041)\/p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35036?\nAnswer: 2, 19, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1795*q**2 + 2*q + 5. Let c(m) = 1786*m**2 - 3*m - 6. What is 5*c(u) + 6*s(u)?\nAnswer: -1840*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0 + 0)*(4*i + 5 - 5) to the form g + q*i and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 972\/189 + 2\/(-14) + 62. Find the second derivative of -90*s**5 - 7 - s + 32*s**3 - c*s**3 + 35*s**3 wrt s.\nAnswer: -1800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spaj when four letters picked without replacement from apsoopjn.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1279 + 733. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -15661.8615482.\nAnswer: -15667.8615482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3 + 1418*d**2 + 282125*d - 7251164 = 0. What is d?\nAnswer: -1172, -269, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**4 - 4*f**4 + 0*f**4 + (2*f**3 + 5*f**3 - 4*f**3)*(-4*f - 2*f + 4*f).\nAnswer: -7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -399, -411, -425, -441, -459, -479?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 162 + -322. Let y be (287\/3)\/(4\/12). Let z = y + f. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 9. What is the units digit of (9 + -11)*15\/t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, 55\/4, -0.04, 4.\nAnswer: -134, -0.04, 4, 55\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4896 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (120 + -120)*2\/(-18). Solve -3*w - 4*i + o = 3, -4*w + 2*i = 26 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d**(-4)*d)))**(-3\/52)\/(d**18\/d*d**(-28)) assuming d is positive.\nAnswer: d**(289\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**2 - 9922056*w + 6152949704196 = 0?\nAnswer: 1240257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v + 4*v - 112 - 2*v + 112.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 15*w**2 - 15*w - 20. Let u be -9 - (3\/5)\/((-6)\/(-30)). Let p be d(u). Round p to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1515 is divided by 552.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -761045\/1006 and -757 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2617*f - 353285. Give c(-135).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = y + g, y + 0 = 3*g + 5. Let t be 6\/4 - 2\/y. Solve -10 = -4*d + 2*d, -t*d + 22 = 3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**18*b*b**(-41)*b\/(b*b**(1\/2))*b*b*b\/(b*b\/(b*b**(3\/8)*b)) assuming b is positive.\nAnswer: b**(-153\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or -4990857?\nAnswer: -4990857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25.61 - 2.61. Let l = 144.62439 - 121.6243724. Let h = q - l. Round h to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -180 + 181 + (-1)\/1*3\/3. Let l = 0 + 4. Suppose -l*z + 5*h = -732010, 915006 = 5*z - d*z - 3*h. What is z rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + 2. Suppose f + d = 6*f. Suppose -y = -5*h - 14, 0 = -3*y + 4*h - 0 - f. Is -7 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114265 (base 7) to base 11.\nAnswer: 14631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.028 and 59297.\nAnswer: 59296.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*k**2 - 11*k**2 + 69*k**2.\nAnswer: 95*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 35 = j, -11 = 4*i - 5*j - 68. What is the lowest common multiple of i and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a micrometer in nanometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 + 704.2\nAnswer: 704.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*-14*(-2247)\/(-882)*-3\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1473)\/(-42) - (-36)\/84. Let l = 41 - x. Solve l*n**3 + 0 + 8*n**4 + 7\/2*n**5 + 0*n + n**2 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1682 and 9606308?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 0, 773, -37 in ascending order.\nAnswer: -37, -4, 0, 2, 773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 396, 404, 426, 468, 536, 636, 774, 956?\nAnswer: 1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83646271 at most as big as 83646271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 15\/11, -1\/199?\nAnswer: -1\/199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94866 and 442708.\nAnswer: 1328124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhuhuhuhuhuhhnhhh. What is prob of sequence nhu?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 5*p = 25, -4*x + 4 = -3*p - 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2*(-120)\/(-135). Let t(p) = 2*p + 4. Let u be t(-3). Let q be 20\/30*(-1)\/u. Which is greater: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/((-168)\/(-280)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -256 + 130. Let r = -13674 - -13805. Let p = m + r. Solve 4*v + 2*o + o - p = 0, -15 = -4*v - o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -3 - 0) + 56\/(-168).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5645 (base 10) to base 8.\nAnswer: -13015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 3. Let t be (-46)\/(-8) + 1\/(12\/3). Find v, given that -h + 0*v**2 - v**2 - 5*v**2 + 3*v**2 + t*v = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -179.3 - -187. Let p = -7.4 + z. Put -1\/2, p, 2\/9, 0.38 in increasing order.\nAnswer: -1\/2, 2\/9, p, 0.38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37146*u + 37182*u - 111420*u + 37193*u.\nAnswer: 101*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25668 and 837.\nAnswer: 77004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 201 and -1712163.84917.\nAnswer: -1711962.84917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907173541.\nAnswer: 431, 2104811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -0.1. Let q = -145.1 - -144.1. What is the nearest to q in -3, -2\/5, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/2151666 and -9\/1078?\nAnswer: 105431634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -4)*-6.\nAnswer: -30*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*m + 84*m = 64. Calculate the highest common divisor of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43440 != -42196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363*o + 359*o + 362*o + 362*o - 2166*o + 369*o + 349*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 9. Let l = 0 - b. Let n = l + 5. Is 4 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -980808 + 3.44.\nAnswer: -980804.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39476974 to the power of 1\/2, to the nearest integer?\nAnswer: 6283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eebebb. What is prob of picking 2 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 10110?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30726*v**3 + 18*v**2 + 17718551*v wrt v.\nAnswer: -184356*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40783.283889 + -40783. Let g = k - 0.284. What is g rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-306)\/(-12) - (-72 + 101).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73272 and 19170.\nAnswer: 3297240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-614)\/(-16578))\/((1\/(-6))\/(3\/12)). Which is the closest to -2.3? (a) 8 (b) 5 (c) r (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*y - y. Let k be 2*(-3 + y + 2). What are the prime factors of ((-4)\/k)\/((-2)\/60)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30880731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26930 is divided by 344.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164635.\nAnswer: 5, 19, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 9:41 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 9:04 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/7311 and -83\/12.\nAnswer: 29244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 96 = -m. Let y be (-2*9\/m)\/(12\/(-16)). Which is bigger: y or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 35\/10)*22. Suppose -7 = 8*g + n. Let h = g + 17. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47027 + 330683\/7. Is -2\/7 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/9*((-3)\/(-18))\/(117\/(20358\/(-116)))?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 46. Suppose r - 2 = 4*g, 0 = n*g + 4*r - 3*r + 5. Let d(j) = 2*j + 6. Let m be d(g). Solve -2 = -5*p + 4*u + m, u = -3*p + 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17549554*j**3 - 17549555*j**3 + 1 - 4 - 2*j - 41*j**2)*(-2 + 2*j + 2) to the form c*j + f + v*j**4 + z*j**3 + s*j**2 and give z.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1140933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 14*r**2 - 16*r + 16. Let v be x(15). Which is the third smallest value? (a) v (b) -0.21 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/28 - (-32)\/14. Suppose x = -s*x + 5*i + 16, -5*i = x + 8. Find the second derivative of 0*b**x - b**2 + b - 4*b - 3*b**2 wrt b.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145\/31981 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 16. Let o be v(14). What is the common denominator of (-6)\/8 - 0 - (-20)\/(-120) and o\/4 + 652\/216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**2 - 10 + 2*q**3 + 10 - q**3 + 8*q - 8*q + (3 - 5 + 1)*(25*q**3 + 394*q**2 - 394*q**2).\nAnswer: -24*q**3 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 108 = -t. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4cbd - 4?\nAnswer: -4cc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5933, 11860, 17787, 23714, 29641?\nAnswer: 35568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/21, 1, 19 in decreasing order.\nAnswer: 19, 1, -8\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-1 - 18 - (-83 - -117))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 12*f + 3. Let l(b) = -b - 1. Let c(o) = d(o) + 2*l(o). Let j = 11 + -18. Let u(g) = -5*g - 1. Let z(v) = j*u(v) - 4*c(v). What is z(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-420)*-42 - 2*-1*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -21*t - 503 + 7*t + 503. Let m(f) = 3*f**2. What is m(x(c))?\nAnswer: 588*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/34154120 and -187\/665340.\nAnswer: 102462360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from {j: 2, g: 3, z: 1, w: 1, e: 4, a: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -4*d**3\/3 - 4636*d**2 - 5373124*d + 3871. Factor v(x).\nAnswer: -4*(x + 1159)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05148063 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51744 divided by 28.\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240126930 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -361*c**5\/130 - 38*c**4\/39 - 4*c**3\/39 + 4*c. Factor u(y).\nAnswer: -2*y*(19*y + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + (-95)\/10)*4\/(-3). Let j be (1 - 94\/v)\/((-8)\/24). Suppose j - 34 = a. Calculate the least common multiple of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 2*m + 75. Let g be h(-8). Calculate the remainder when (((-100)\/(-1))\/(-1))\/(g\/10) is divided by 43.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -618241 divided by -1077.\nAnswer: 618241\/1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4893 and -0.2?\nAnswer: 4892.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25 + 12716?\nAnswer: 12681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61600 and 6244700?\nAnswer: 49957600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -6, 4*c - 22 = -8*f + 10*f. Suppose -2*m - 6906 = -5*r, -c*r = -5*r - 4*m + 1390. What are the prime factors of r?\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2055605803 rounded to four dps?\nAnswer: 0.2056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.2, 231 in ascending order.\nAnswer: -3, 0.2, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 80.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-15)\/18 - 5\/(-10)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1212 (base 3) to base 15\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146 (base 10) to base 12.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -2, 56\/3, -69, 22?\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 11. Let i be j(9). Let g be -1*2\/(i\/(-5)). Let 2*y**4 + 0 - 2*y**2 + 4\/7*y - 10\/7*y**g + 6\/7*y**3 = 0. Calculate y.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 c when three letters picked without replacement from {i: 1, a: 3, w: 1, e: 2, t: 1, c: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 - ((69 - 48) + -27).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 921.58818 * -0.5.\nAnswer: -460.79409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 9) in base 7?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11191 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4 = z, z + k - 488 = -13*z - 484 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t + 72 - 66 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -18794 = -23771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 392\nAnswer: -1\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6196.535nm?\nAnswer: 0.0006196535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -9*u**2 + 2*u - 1. Calculate s(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 297224691 to the power of 1\/2, to the nearest integer?\nAnswer: 17240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -670 and -2966951.\nAnswer: -2967621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d + 6 = 0. Suppose 0 = -2*u + 3 + 3. Calculate the greatest common factor of u and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y - 17. Let l be g(-6). Let t = l + 324. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 400 + be857?\nAnswer: bec57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 3*u - 1. Let y be r(-4). Suppose 3*c - 2*c = -4. Let x = 23 + c. Solve -p + 0*p + 4*q = -x, 11 = -y*p - 5*q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-18))\/(2\/42). Let k be l\/1 - (-1 - -3). Sort -4, k, -2 in ascending order.\nAnswer: -4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a**2 + 11*a**2 - 4*a**2. Let b(d) = -d**2. Calculate b(j(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, m: 1, y: 4, t: 1}. What is prob of sequence tmoo?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = -3*m + 87, 3*k = -4*m + 703. Calculate the remainder when k is divided by 222.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.1 - -0.9. Let r = -8 + q. Let f = r + 4.3. What is the second smallest value in f, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**2\/7 - 80*g\/7 - 256\/7 = 0. Calculate g.\nAnswer: -16, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 3330011102?\nAnswer: 3330011113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 42, 3, 11, -0.4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -24.9. Which is the closest to q? (a) -0.5 (b) -3\/2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34692*q**2 + 612*q**2 - 3857*q**2.\nAnswer: 31447*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 34 - (-32 - 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 2:56 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 - 209.\nAnswer: -208.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-1))\/h)**(-43)*(h*h*h**2*h)**(-39))**2 assuming h is positive.\nAnswer: h**(-476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 150107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 42 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -14 + (12 - (-35 - -35)) + -6 + 89\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 18. Suppose -2*s + s = -a. Solve 4*y = -4*k + 8, 3*y - 10 = 5*k + s*y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**4\/2 - 1329*f**2\/2 + 4052*f - 3897. Find the first derivative of z(h) wrt h.\nAnswer: 6*h**2 - 1329","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from {p: 10, i: 2, k: 2}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3926 - 3929. What is the third smallest value in -4, -0.072, 1\/5, i?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48948776?\nAnswer: 2, 6118597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 1:20 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 10. Let j be q(8). Let l be (j\/(-19))\/(-2 - -15). Let h = 464\/3705 + l. Which is the smallest value? (a) 4 (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**4\/4 - 2*g**3 - 2*g**2 - 15*g - 117. Give p(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1896349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 198255.3 and 38.4?\nAnswer: 198216.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1218*j*m**6 + 51*j*m**4 + 2*j*m**2 - 93*j - 96*m**2 wrt m.\nAnswer: -146160*j*m**3 + 1224*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 3)*(-2 - t**3 + 2)*(2 - 2 - 3) in the form q + v*t**3 + b*t**2 + m*t and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssfpsvwssswsfhfvspss. Give prob of picking 1 f, 1 v, and 2 s.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*d - d. Is (d\/5)\/(2\/25) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q = -82*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33850194 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.05, -0.2, 203\/6, 1063?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1801355816?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 30*l**3 - 2*l**4 - 37*l**3 + 133*l**3 + 2*l**2 - 34*l**3 - 31*l**3 + 515*l to the form g + c*l**4 + r*l + o*l**3 + h*l**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.4 (b) 1 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*x**6 + 272*x**4 + 275*x**3 + 30183831*x**2 - 11?\nAnswer: 1200*x**3 + 6528*x + 1650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3 + (-28)\/12. Which is bigger: -14 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144425599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**3 + 10*k**3 - 19*k**3.\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.9, 1\/11, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12580259713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1. Let a(n) = -n**3 + 6*n**2 - 14*n + 85. Let c be a(6). Let o(u) = -10*u - 6. Calculate c*o(m) - 6*h(m).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkkdxaxakafwfd. Give prob of sequence xk.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/((-80)\/(-5120)*64)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*(sqrt(500)*2 - sqrt(500)))**2.\nAnswer: 7995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v - 4. Let x(y) = -3*y + 5. Suppose 5*k + 2*i - 11 = 9, -4*k + 2*i - 2 = 0. Give k*x(h) + 3*r(h).\nAnswer: 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 25*g**3 + 20*g**2 - 7*g - 221. Let q(f) = -14*f**3 - 11*f**2 + 4*f + 109. Give 4*p(i) + 7*q(i).\nAnswer: 2*i**3 + 3*i**2 - 121","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*n = -130*n - 56, -2*p - 85*n = 1180 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1790390900 to the nearest one million.\nAnswer: -1790000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -241*r - 19. Let c be u(-5). Factor -9*p - 6 + c*p**2 + 18 - 1189*p**2.\nAnswer: -3*(p - 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m**2 - 2*m - 1. Suppose -2*b = 5*u + 5, b + 5*u = -5 - 0. Let j(w) = w**2 + 4*w + 4. Let c be j(-3). Suppose -o + b = c. What is q(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10545 = -103*p + 8*p. Let a(d) = 8*d**2 + 1. What is the smallest common multiple of a(-1) and p?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 5*f + 4. Let k = 313 + 79. Let l be k\/(-70) + 3*(-3)\/(-15). Let g(a) = 2*a**2 - 6*a + 5. What is l*w(b) + 4*g(b)?\nAnswer: 3*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/4 - (-78)\/(-52))\/1. Solve 7 - 23 = -b - 5*r, c = -3*b - 3*r + 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07713 rounded to 3 dps?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -322.6 + 275. Let o = 70.9 + r. Let m = o - 18. Round m to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3242432 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13241 (base 12) to base 9\nAnswer: -40014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 1 + 9*t**2 - 1 - 15*t**2. Determine o(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(8\/(-68)))\/((-124)\/7688*31)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 773 + -770.972. Let g = 0.028 - f. Let i = -0.05 + 1.05. Which is the nearest to g? (a) i (b) 0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 1. Let z be h(-6). Solve z*s + 8 = 23 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -19 + 15*g + g - 10*g. Let l(w) = -w**2. Determine l(o(d)).\nAnswer: -36*d**2 + 228*d - 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 4812434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9136 - 9097.97. Let m = s + -38. Which is the nearest to m? (a) -1 (b) -2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 573657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*d + d. Let c be d\/(93\/30 - 3). Solve -o = -5*y - c, -5*o = 3*y - o - 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177102 a multiple of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -8.3. Let k be (3 + 1)*(-1)\/14. Which is the closest to k? (a) -0.5 (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8044, 4, -83, -5 in decreasing order.\nAnswer: 4, -5, -83, -8044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3040241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 519788467?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4083919 litres in millilitres?\nAnswer: 408.3919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -151980, -151983, -151986, -151989, -151992, -151995?\n\"Answer: -3*m - 151977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + (-1385 - -1305)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = 17*j - 5*o - 538, 3*j + 1564 = -5*o. Is j > -505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 + 8*r**3 - 29188*r - 356 + 29188*r.\nAnswer: 5*r**3 - 356","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-20) - 335\/25. Let b = -8 - t. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**4 + v**3 - v**2 - v - 1. Let u(l) = 10*l**4 + 7*l**3 - 7*l**2 - 7*l - 3. Let g(h) = -3*d(h) + u(h). Suppose g(o) = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -666.82 to the nearest ten.\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 0.0529.\nAnswer: 0.0471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*w + 816 + 12686 = -21661 + 7315 for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 130*c**2 + 8*c - 6. Let r(p) = -17*p**2 - p + 1. Let a(n) = 2*g(n) + 15*r(n). What is a(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.8 + 1.3. Let w = -0.75 + 1. Let j = n + w. What is j rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -5\/12*z**4 - 3*z**2 - 7\/3*z**3 + 0*z + 0. Differentiate u(c) wrt c.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.2, 0, -1\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 17 - 7 - (4 + (20 - 2)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23455600 rounded to the nearest one hundred thousand?\nAnswer: -23500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -786856 and 0.0433.\nAnswer: -786855.9567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 23 = -i, 5*i - 4*x - 26 = 3*i. Suppose 206 - 59 = i*m. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2335695427 rounded to five decimal places?\nAnswer: -0.23357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 14*b**2 - 4. Let z be p(14). Let w = 10 - 16. Let h = -8 - w. Put h, z, 3 in increasing order.\nAnswer: z, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -47 - 151. Calculate the remainder when w is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1183 and -0.02.\nAnswer: 23.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (246\/2829)\/((-1)\/46*-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 2*n - 4*n**2 - 5*n + 30 + 2*n**2 - 2*n**4 to t + q*n + l*n**4 + v*n**3 + w*n**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/7 + (-2)\/(-14). Let v = 155 + -154. Which is the closest to 1\/4? (a) v (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 16*b + 107 - 56.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53858.60150652 - -2.\nAnswer: -53856.60150652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5595 = -5*z - 4*f, -f + 1113 = -z. Let d = -13379\/12 - z. What is the common denominator of 327\/(-22)*(-1)\/3 and d?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 2*z**3\/3 - z**2\/2 - 3*z. Let k be r(7). Let h = 652 - 436. What is the highest common divisor of h and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usso when four letters picked without replacement from skuoouks?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 28232003 and 1245.28.\nAnswer: 28233248.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 195*s**3 - 1913*s**2 - 5021515*s.\nAnswer: 1170*s - 3826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285722 is divided by 46?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u + 86. Calculate o(-16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309417?\nAnswer: 3, 17, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11735*x = -11753*x - 18 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1965, -3865, -5731, -7563, -9361, -11125?\nAnswer: -12855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60167224.\nAnswer: 2, 13, 19, 30449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + -820a4?\nAnswer: -82096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20496.36058 rounded to the nearest integer?\nAnswer: -20496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*b - 20. Let x = -4 - -9. Let s = 9 - x. Solve -v + 2 + 0 = -2*i, s*v + b = -3*i for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5) + (-4)\/10. Let d = 0 + i. Let g = 7 - d. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2 - 3*z - 42. Let c be o(-5). Let v = c - -34. Is 44 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**2. Let h(z) = -23*z**2 + 12*z + 8. Let d(i) = -24*i**2 + 10*i + 7. Let l = -997 + 1003. Let a(p) = l*d(p) - 5*h(p). Calculate n(a(w)).\nAnswer: -3364*w**4 + 464*w**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/40*(-40)\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 2*o**2 - o. Let d be c(1). Let j be (3\/d)\/(3\/8). Suppose -4*p + 2 = -2*y + 26, y = 4*p + 20. Put j, p, 3 in increasing order.\nAnswer: p, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 192389\/20 - 9615. What is the common denominator of 91\/8 and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15 + 5 = 0. What is the nearest to 2\/7 in -4, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*b - 114 - 22 = 0. Let n be (-405)\/432*4*(-2)\/6. Put b, 104, n in increasing order.\nAnswer: b, n, 104","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Suppose r = -4*n + 54 + 26. Let v(z) = 2*z**2 + 7*z + 1. Let i be v(-7). What is the highest common factor of n and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -155 + 93. Let g = 114 + k. What is the remainder when g is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 145.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -253 by -6.\nAnswer: 253\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5725, 5746, 5787, 5854, 5953, 6090, 6271?\nAnswer: 6502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39 - 15?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60.1 or 0.038378?\nAnswer: 0.038378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 7, -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 650077483 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 + 226 = -2*z. Find the third derivative of 36*j**2 + 9*j + 4975*j**3 - 9*j - 164*j**4 - 4975*j**z wrt j.\nAnswer: -3936*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 298 (b) 19\/4 (c) -1\/18 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Suppose o = w - 5*j - 6, -j + 9 = w - 9. Calculate the smallest common multiple of w and (-1)\/3 + (-86)\/(-6).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/10605 and 109\/1638.\nAnswer: 827190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b. Let a(f) be the first derivative of f**3\/3 - f**2\/2 + f + 3. Let h(w) = w**2 - 2*w + 2. Let n(v) = 2*a(v) - h(v). Calculate q(n(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1352.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2791*f - 43537 + 4463 = 0 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*l**2 + 5*l**2 - l**2 + (-4 - 2 + 4)*(584 - 584 - 67*l)*(2*l + l - 2*l) in the form r + o*l**2 + q*l and give o.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 26. Suppose -q - 71 = -k, -5*q - 22 = -k + 57. Calculate the remainder when k is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14 (b) 21\/2 (c) 2\/11 (d) -4 (e) 1 (f) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 3*j - 6, -10*j = 2*f - 6*j - 28. Which is smaller: -8 or f?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 - 4*q - 3. Let x(y) = -2*y**2 - 3*y - 2. Let w(a) = -a**2 - 3*a + 13. Let n be w(-5). What is n*x(o) - 2*r(o)?\nAnswer: -2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_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: Is 1 greater than or equal to 11\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 a factor of 1898482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/(-18) + 126\/36. Solve 4*l - 17 = q*n, 4*n + 5 = -n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 461, 1805, 4031, 7139?\n\"Answer: 441*u**2 + 21*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5305.5187 + -21188.\nAnswer: -15882.4813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4 + 16. Which is smaller: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 696866 to the power of 1\/2, to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101\/35 + -13\/5. Let o = -80 + 71.7. Let q = o - -8. Which is smaller: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17486 is divided by 4369.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 16*x + 12. List the prime factors of k(-13).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/(308\/76 + -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -311\/6 + 52. Sort 0.2, n, -5, -4.\nAnswer: -5, -4, n, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 3787*t + 226529. Determine z(59).\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j. Let g(x) = -21*x - 3. Suppose 48*w = 43*w - 4*y + 9, 4*w - 5*y + 1 = 0. Determine w*g(p) - 15*k(p).\nAnswer: -6*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/8 + (-10 - ((-14 - -26) + -11)*-10).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -76, -119, -162, -205, -248?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3181*l + 696. Is u(-25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-4)\/(-12) - -4. Suppose 0 = -2*s - 0*s + y*r - 920, 2*r = -5*s - 2242. Calculate the common denominator of s\/(-16)*(-26)\/39 and 9\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1527.8 in 1, 4, 3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 391509379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-2*sqrt(2448) + -1)**2 - 2*sqrt(2448)*-6)*4.\nAnswer: 768*sqrt(17) + 39176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(285\/133*(-8)\/168).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(3\/2))\/(m**10*m))**(-1\/76) assuming m is positive.\nAnswer: m**(15\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**2 + 303*z + 1718. What is f(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 42*g**4\/5 + 1131*g**3 + 109653*g**2\/5 + 202509*g\/5 + 98469\/5 = 0. What is g?\nAnswer: -1563\/14, -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 4.8. Let r = 2.9 - u. What is r rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*d - 53*d - 5*g - 22, 2*g = -2*d - 12. Let w(l) = l. Let s(f) = -7*f. Give d*s(z) + w(z).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/5)\/(38\/95). Let d(o) be the second derivative of z*o**3 + 0*o**4 + 0 + 11*o - 3\/20*o**5 - 3*o**2. Factor d(y).\nAnswer: -3*(y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13356, 13340, 13324?\nAnswer: 13308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 1. Let g = -75 + 200. Let r(m) = 267 - 135 + 10*m - g. What is -5*f(a) + r(a)?\nAnswer: 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63028446 is divided by 43408?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1\/3)*w)\/w*w*(w\/((w\/w**(-3\/7)*w)\/w))\/w)\/(w**(2\/7))**(-9\/7)*(((w**(-1\/2)\/w)\/w)\/w**0)\/(w**(-5)\/w**1) assuming w is positive.\nAnswer: w**(1403\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*a - 4, -6*v + 11 = 3*a - 4*v. Let k(w) = 3*w**2 - 2*w. Let r(b) = -b**3 + b**2 - b. What is a*k(m) - 3*r(m)?\nAnswer: 3*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 318*p**4 + 3*p**2 - 10*p**3 - 16*p + 312*p**4 - 628*p**4 + 17*p in the form c*p**3 + s + n*p**2 + i*p + b*p**4 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 - 181*f**2 + 61*f - 13836. Calculate i(91).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 368175 (base 9) in base 10?\nAnswer: 222494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 132362 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 579677?\nAnswer: -579672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32040530 + 4125?\nAnswer: 32045055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/395 (b) -3\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + -1 - -2*(sqrt(11) - sqrt(66)\/sqrt(6)).\nAnswer: -1 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -2\/7 (c) 14 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63*c**2 - 2*c - 47 wrt c?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/5 + 926*j\/5 + 70728\/5 = 0. What is j?\nAnswer: -842, -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 158*w + 666. Give p(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28180, -56370, -84572, -112786, -141012?\nAnswer: -169250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from aks.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4679 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 581590708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -9, 1753, 3\/4, 0.4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) 1 (c) -2\/61 (d) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1435, -1454, -1473, -1492?\n\"Answer: -19*g - 1416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, s: 7}. Give prob of picking 2 s.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 8, -21, 5, 0, -1\/13, -2059?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0438395661 to 3 decimal places.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -36. Let i(m) = 1 - m**l - 16*m + 19*m - m**2. Calculate i(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 814 (base 9) to base 8\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 9*c + 4. Suppose -104 = -4*d + c*n + 160, d = 5*n + 46. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6804\/300)\/(-81) + (-2)\/(-25)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1\/(6*(-33)\/(-18))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 210 - 215. Sort -1, 0, 7, n.\nAnswer: n, -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 450878 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 225 - 779. Let t = i - -792. Calculate the remainder when t is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3915.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s, 5*l = 5*s + 1445. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, o: 2, w: 3, g: 1, j: 1, c: 3}. Give prob of sequence occt.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(70)\/(-1*sqrt(7))))**2 - (-1 + sqrt(99) + -3).\nAnswer: -3*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -89, -97, -107?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*v + 5*n, 2*n = 5*v + 4*n - 34. Suppose v*k - 2*k = -5*c + 25, -5 = -2*k - c. Solve 0*d + 5*d = k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -1)\/((-4)\/(-26)). Suppose 6*r - x = 9*r - 58, -r - 5*x + 38 = 0. Let w = r + j. Sort w, 1, -4 in increasing order.\nAnswer: -4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 65 - 80 = 0. Let w = 5 - x. Suppose -3*q + 3*b = 2*q + 12, 2*q - 8 = -w*b. Solve -2*m + 5*k - 26 = q, m + 2*k + k = 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462 - 451 + 1376 - 463 - 236*z.\nAnswer: -236*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119053262.\nAnswer: 2, 263, 226337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 521 - 533 = 2*h. Let j be (26\/273)\/((h\/(-14))\/(-1)). What is the third smallest value in -0.1, j, -2\/15, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6189595?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5978350531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/68 and (77\/(-6) - 0)*(-1)\/21.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.500865 millilitres?\nAnswer: 0.005500865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1104 and 92?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u - 3*a = 72, -256*u + 517*u + 5*a + 7 = 257*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z**2. Let g(p) = 1748*p. What is g(x(o))?\nAnswer: -15732*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 6321.\nAnswer: 6321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**3 - 32*v**2 - 85*v - 52. Determine a(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299272*q**3 + 143451*q**3 + 219004*q**3.\nAnswer: 661727*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43760 and 560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9c3 + 1c2b0?\nAnswer: 1cc93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -11*p - 6. Let n(f) = f**3 + 7*f**2 - 7*f - 6. Calculate the remainder when n(-5) is divided by i(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 0. Let j be 2\/b*9\/6. Let x be 1*(-1)\/j + 3. What is the greatest common factor of x and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = 4. Let a(g) = -10*g + 21. Let t(z) = 2*z - 4. Let i(p) = -2*a(p) - 11*t(p). What is i(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.534758 + -0.188?\nAnswer: 48.346758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 4:35 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Let q = 0 - -2. What is the second derivative of -4*c**3 + q*c**3 - l*c + 0*c wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*(sqrt(98)*2*5 - sqrt(98)) + -1*3*sqrt(98)*3) + -4)**2.\nAnswer: -6048*sqrt(2) + 1143088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 12*r**2 + 4*r - 10. Calculate the remainder when y(-3) is divided by 48.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8120\/3190)\/((-4)\/(-22)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 656972711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4413 + -24?\nAnswer: 4356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 3034*f**2 + 6074*f - 3038.\nAnswer: -2*(f - 1)**2*(f + 1519)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001 + -1000110?\nAnswer: -10010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 114102.\nAnswer: 1141020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by ((-4)\/(-2 - -4) - -2) + 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151546 is divided by 1894.\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7922, -15727, -23518, -31289, -39034, -46747?\nAnswer: -54422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06 - 1.94. Let v = 0.1068 + 0.0932. Put a, v, -2\/7 in descending order.\nAnswer: v, -2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3517509 a multiple of 485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + m = 3, -6 = -3*u - m + 5. Calculate the lowest common multiple of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Let p be k - 3\/((-6)\/19). Let i = -11 + p. Which is the biggest value? (a) 0.1 (b) -4\/9 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) -5 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5425697*a**2 + 2*a + 7838792.\nAnswer: -10851394*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63809, -510183, -1721633, -4080653, -7969737, -13771379, -21868073?\nAnswer: -32642313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2272346.\nAnswer: 2, 761, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/75642 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 5267514685.\nAnswer: 5267514684.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 + 192*s - 210. What is p(-97)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 0 - 188*w**2 - 3\/8*w**4 - 1\/6*w**3 + 0*w. Let k(j) = 13*j + 2. Let v be (1 - 4)*15\/(-9). Give v*k(t) + 7*q(t).\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15869 + -15866. Let u(d) = d + 9. Let c be u(8). Solve 2*q = -3*q + j*y + 29, -3*y = -2*q + c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(117) - sqrt(117))*6)**2.\nAnswer: 151632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, t: 6, q: 8}. What is prob of sequence htt?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 5:05 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.9 + 8. Which is the third biggest value? (a) r (b) 1.3 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*w - 5, 1 = -3*g - 14. Suppose 0*s + 4*s - 12 = w. Determine l, given that -8*l**2 - 4*l**s + 8*l**2 + 4*l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3267.5 - 3268. What is the closest to 2\/7 in 1\/3, 14, -5, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, l: 4, i: 2, q: 2, r: 1, b: 2}. What is prob of picking 1 b and 2 l?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**4 - 2*f**4 + 10*f**4 + (-2*f**3 - f + f)*(-6*f + 4*f + f) as l*f + w + i*f**2 + b*f**3 + o*f**4 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - 48. Suppose -s*c = c - 18. Suppose 0*q = c*q - 42. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5 - 25. Let y(b) = -b + 6. Let j be y(6). Let a = u + j. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42901*i = -21458*i - 21451*i + 272 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 3*d + 12. Suppose 0 = z - d. Solve -2*h = z*h + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313830163.\nAnswer: 19, 907, 18211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 10 (c) -0.2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 11*n**2 + 15*n - 59. Let a be j(12). Let f = 12\/743 - -63107\/2972. What is the common denominator of f and a\/(-230) - ((1 - 1) + 5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 494 and 46094?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 + 164*h + 49. Determine p(-41).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-18))\/((-187)\/(-7293))\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -1 - l + 6 + 3. Let a be u(4). Suppose 2*v + p = 84, -a*v + 3*p = -0*v - 188. Is 22 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 8*h - 26. Find the common denominator of (4 - 175\/(-15))\/(10\/h) and 33\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 25*m**2 + 9*m - 107. Let j be f(25). Let v = j + -2307\/20. Calculate the common denominator of -31\/60 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59061.6 + -59066.6. Let y be (2\/(-15))\/((-2)\/(-12)). What is the biggest value in y, m, 1\/3, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -11. Suppose -3*x + 54 = b*i, 3*i + 5 = -4*x + 77. What is the least common multiple of x and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -1897940?\nAnswer: 1897936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-994)\/4*(-1560)\/(-4550)*(-30)\/(-36).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + -41.3. What is the second smallest value in 2, -1\/6, 2\/3, y?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598065499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 164, 160, 154, 146?\n\"Answer: -x**2 - x + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13549 + 13580. Suppose 8 = 2*s - 56. Is s bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-12)*(1 + 3). Let x be (-1)\/i - (-86)\/3. Let n = -18 + x. Let w(b) = 8*b**2 - 6*b. Let u(m) = -15*m**2 + 11*m. What is n*w(g) + 6*u(g)?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 99*o**8\/56 - 3*o**6\/10 - 11*o**4\/4 - 6*o**2 + o + 144. What is the third derivative of b(c) wrt c?\nAnswer: 11880*c**3 - 216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 3:13 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41554 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: Convert -24461 (base 8) to base 7.\nAnswer: -42513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(9072) + 0).\nAnswer: 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 - 2*s**3 - s**3 - 14461 + 14489 + 11*s - 3*s**3 to the form t + x*s + q*s**3 + a*s**2 and give t.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - k**2 - 16*k + 14. Let u be l(4). Which is the third biggest value? (a) u (b) -4 (c) 1\/12 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722430235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 7. Let r be (-1 + 3 + -2)*o. Suppose r = 4*w - 28 - 4. Let p(c) = 4*c**2 - 3*c + 5. Let b(a) = 11*a**2 - 8*a + 14. Calculate w*p(d) - 3*b(d).\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {r: 8, h: 5, w: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-14)*b**(-40)*b)\/((b**(-38)*b)\/b)**(-3) assuming b is positive.\nAnswer: b**(-167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*i + 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2*n)\/((n*n**2)\/n)*(n\/(n*(n*n\/n**0)\/n*n))\/n*n*(n\/(n*n\/n**(-5)))\/n)\/((n**(-1\/2)\/n)\/n**5)**5 assuming n is positive.\nAnswer: n**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -b + 5, b - 31*g = -33*g + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -26 (b) -0.6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 3*s**2 - 7*s + 7. Let n be v(-8). Let k be 4\/(12\/(-3)) - n. Round k to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1, -12\/11, 2?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1784\/11 + -162. Let c = -55 - -98. Let l = 43.5 - c. What is the smallest value in 0.1, x, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6397*k = 4522 + 8272 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.1. Suppose -2*o - v + 2*v - 2 = 0, 0 = o + 2*v + 6. Which is the closest to d? (a) -0.04 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10794 and 160123593?\nAnswer: 5397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -147.3 + 167. Let d = 20 - l. Let t = 441\/8 + -55. Which is the second smallest value? (a) d (b) -0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7478 - -4.\nAnswer: -7474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r - 13 - r - 10 in the form u*r + z and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**8\/56 - 5*w**4\/24 - 7*w**2. Find the second derivative of y(v) wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -542042?\nAnswer: 542045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/92192105 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:30 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, a: 6, j: 3}. Give prob of sequence yajj.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26830 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q + 54 - 131*q + 141*q.\nAnswer: -13*q + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 5*n + n)*(-5*n + 2*n - 3*n) + (2*n - 2*n + 2*n)*(0*n - n + 2*n).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -8*m + 116. Calculate the remainder when j(-101) is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + (-2*sqrt(110) - sqrt(110))*2 - (sqrt(110) - (sqrt(110) - 6*sqrt(110)*2)))\/(sqrt(90) - (sqrt(90)*-1 - sqrt(90))*3).\nAnswer: -17*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4063, 16262, 36599, 65080, 101711?\n\"Answer: f**3 + 4063*f**2 + 3*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210330 - -3?\nAnswer: 210333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 4. Suppose -30 = 4891*w - 4861*w. Put w, a, 0, 6 in decreasing order.\nAnswer: 6, 0, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - l = 3, -28467*a - 4*l = -28471*a - 36 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 109956 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + b = 8, -3*b - 19 - 1 = -2*t. Let x be ((-1)\/3)\/(-1)*15. Suppose -7*y = 5*f - 2*y - 15, x*y + 33 = 3*f. Solve 5*p = t + f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gghkthg. What is prob of picking 1 t, 1 g, and 1 h?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3907 - -2645. Does 42 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 2*q + 4*q)*(2*q - q + 2*q).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b + 12*b**3 - 11*b**3 - 7*b to q*b**3 + n*b + w*b**2 + g and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1908 - -3079. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3 - 1. What is the second derivative of 4*h - h**m + 0*h + 3*h**2 wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**3 + 7*o**3 + 9*o**3 - 4*o**3.\nAnswer: 18*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 10*g**2 - 24*g - 3. Calculate b(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*(6*(1 + sqrt(7)) + sqrt(7) + -6*sqrt(35)\/sqrt(5)).\nAnswer: 2*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (2\/(-1) + 2). Let m be 1\/p*20\/1. Let g be m\/4*4\/5. Solve 4*y - 3*s - 14 = -8*s, -2*y + 6 = g*s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 17\/4 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.921 - -0.181. Let p = k + -0.42. Let w = 2.6 + p. What is w rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o. Let n(h) = -3*h**2 - 21 - 35 + 56 + 12*h. Determine n(r(u)).\nAnswer: -48*u**2 - 48*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*l - 341*l + 40 = 0 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tahoq. What is prob of picking 1 h and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1308887518.\nAnswer: 2, 31, 73, 289193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34845 by 18500.\nAnswer: 6969\/3700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/14 - (4 - 316\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3391098 is divided by 423887.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.9 + 11?\nAnswer: 60.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**4*y)\/(y\/(y*y*y**6)*y)*(y**(-2\/7))**(-40))**(5\/8) assuming y is positive.\nAnswer: y**(855\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*z - 299*z - 159 = 0. What is the remainder when 103 is divided by z?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*t, 2*i = -i - 3*t + 192. What is the greatest common factor of 34 and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 0) + 1 + -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*k = 0. Suppose 5*q - 7*q = 4*c - 6, -18 = -c + 5*q. Suppose -c*y + y + 126 = k. What is the remainder when y is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**4\/2 + 148*y - 9. Let x(n) = 7*n**2 - 7. Determine x(w(g)).\nAnswer: 252*g**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1782730?\nAnswer: 1782730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtjjt. Give prob of picking 2 j.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4cb2 - -51?\nAnswer: 4d23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -18, 2, -17, -2 in decreasing order.\nAnswer: 2, 0, -2, -17, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10421258 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(3\/16)\/h)\/(h*h*(h\/h**(1\/18)*h*h)\/h) assuming h is positive.\nAnswer: h**(-541\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-2) - (-8 - -11). Suppose 2*l + 0 - 6 = s. Factor 0 + q**4 - 3*q**l + 8*q**2 + 0 - 5*q**2 - q.\nAnswer: q*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80944283.\nAnswer: 7, 59, 195991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -103\/3. Let p = -19.35 + 17.35. What is the biggest value in 2, v, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v - 23*v - 4*v to t*v + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/3)\/m*m)**(-9\/8)*((m*m*m**0)\/m*m*m)**(1\/25))**(-31) assuming m is positive.\nAnswer: m**(1953\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2887 is divided by 1190?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*g + 30*g = 400*g - 12096 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d - 34. Let j be c(18). Suppose 0 + 4 = -2*m + 2*x, -4*x + 14 = j*m. Solve -m = k + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**5\/60 - w**4\/4 - w**3 + 13*w**2. Let s be r(-4). Suppose 8*x + s*x - 90 = 0. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 3*c**2 + c + 3. Let d be w(-3). Suppose 0 = 2*v - 10, d*b - 2*v - 189 = -b. Let n = b + 18. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7655336 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 11:42 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u. Let o(a) = -12*a**2 + 658*a - 51. Determine o(b(i)).\nAnswer: -12*i**2 - 658*i - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8026289*s**3 - 2089326*s.\nAnswer: -48157734*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 + -1. Let z = -0.3514 + 1.6514. Do z and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94 + -92. Suppose o - u = l, -5 - 8 = 2*l + o. Let c be 4\/(-7 + 3)*l*1. Solve -f + z = 2*f - 15, -25 = -c*f - 3*z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**2\/4 + 1728555*a\/2 - 1728558 = 0. Calculate a.\nAnswer: -1152372, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -7\/4*w**4 + 1\/20*w**5 + 0 + 3*w**2 + 12*w**3 - 6*w. Factor r(l).\nAnswer: 3*(l - 12)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**5 + 9091*r**4 - 217318*r**3 + 437780*r**2 - 78936*r = 0. Calculate r.\nAnswer: 0, 1\/5, 2, 22, 1794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 5*v**2 - v**2)*(14*v**2 - 30*v**2 - 35*v**2).\nAnswer: -102*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29336761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21143334 (base 5) to base 3\nAnswer: -100001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**8*y)**(-16)\/(y**(-1\/7))**5 assuming y is positive.\nAnswer: y**(-1227\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2063934869?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2. Suppose -3*i + r + r - 2 = 0, -2*r = 2*i - 12. Suppose 3*k = 2*o - i*k + 1, -6 = -4*o + 2*k. Let v be z(o). Solve 3*l = v*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - 1) + ((-4 - -8) + -11 - 3).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31\/5 of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) 1\/2 (c) 1\/5 (d) 65\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -685*s**2 - 169*s - 874. Let c be p(-86). Round c to the nearest one hundred thousand.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i - 1. Let f(w) = -3*w + 1. Let c(u) = f(u) + o(u). Let z(p) be the second derivative of 0 + 2*p - 3\/2*p**2 - p**3. What is z(c(a))?\nAnswer: -12*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + z = -125 + 123, -5*y - 3*z - 6 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/12)\/(5\/10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 + 6 = 5*z, 0 = 4*z + 5*k - 8. Suppose -3*g - 3*x = -72, g - 10 - z = 5*x. What is the remainder when g is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 122 - 2. What are the prime factors of (-6)\/(-4)*100\/h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 342 and 20787408?\nAnswer: 394960752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8730\/(-315) - -27)\/((-1)\/(-7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103523 and 4025.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -57932 and -0.09?\nAnswer: 5213.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1150, -4, -5, -3\/5 in decreasing order.\nAnswer: -3\/5, -1, -4, -5, -1150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000124109771 to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 818711737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - 26*y + 4. What is the lowest common multiple of 12 and n(13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**5 + 240128*n**4 + 1360636*n**3 + 560242*n**2 - 1360639*n - 800370 = 0. What is n?\nAnswer: -80037, -5, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 388881 to the power of 1\/2, to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x**(2\/7)*x)\/x*x*x*x*x**14)\/(x**(2\/31)\/x**14) assuming x is positive.\nAnswer: x**(6992\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -52 - -167845?\nAnswer: 167793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 f, and 1 w when three letters picked without replacement from {f: 4, w: 4, g: 6}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162573, 162682, 162781, 162864, 162925?\nAnswer: 162958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2770 + -2679. What is the second smallest value in o, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 76 + 3)*(-3*p + 2*p - p).\nAnswer: 122*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, h: 2, l: 1, t: 1}. Give prob of picking 2 l and 1 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 261471168 divided by 518792?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 + ((-72)\/21 - -2))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125 - -30. Let q = 154.9 - y. Which is the fourth smallest value? (a) 4 (b) 2 (c) -2\/3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*w + 3*r, -4*w + 5*r = -0*w - 24. Solve 6 = -8*t + w*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 12*f + 54 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1749036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/336800 and -69\/336800.\nAnswer: 336800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 3:53 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + 1. Let r be 8\/2 + (-23)\/6. Put k, r, -1\/5 in descending order.\nAnswer: k, r, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 9*m = -30 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -540, -2363, -6184, -12723, -22700, -36835?\nAnswer: -55848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/6 - 79\/(-237)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 + 31. Suppose 2*l - 19 - 92 = b, 0 = 5*l - 4*b - 285. Let r = l - c. Calculate the greatest common divisor of r and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9895547*d + 73275839 wrt d?\nAnswer: 9895547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/154 and 141\/350.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 22 = 8*j - 40, 5*y = -83*j + 170*j - 84*j - 34 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**5\/6 - 85*g**4\/24 - 55*g**3\/2 - 405*g**2\/4 - 180*g + 1219. Factor j(o).\nAnswer: -5*(o + 3)**3*(o + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Let n(c) be the second derivative of c**4\/3 - 2*c + 50. What is n(a(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*1 + 3)**2.\nAnswer: 54*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18990401399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 433267?\nAnswer: 433265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, l: 2, s: 4, j: 2}. What is prob of sequence lnsl?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**3\/7 + 438*b**2\/7 + 1296*b\/7 = 0.\nAnswer: -216, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -0.3, 12, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -27602, 4, 2 in ascending order.\nAnswer: -27602, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4793717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56068 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 311071, 311068, 311065?\n\"Answer: -3*s + 311074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 4*c = 48, -40 - 10 = 3*k + k + 186*c + 14 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010202114 (base 5) in base 11?\nAnswer: -1172021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-1) - (0 - -1). Let o be 0*2\/4 - v. What is the derivative of 2*u**2 + 3 + 4*u**2 - 6*u**o - u**2 wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = a + 2*g, -4*a + 65 = 2*g + 85 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1691310 and 2169.\nAnswer: 1222817130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 2*z + 4037. What are the prime factors of r(0)?\nAnswer: 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 3. Let w(i) = i**3 - 7*i**2 + 7*i + 3. Let f be w(6). Let y = r + f. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62725 is divided by 10453?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -7 + -1*(0 + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/40 of a kilometer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6\/1511?\nAnswer: 6\/1511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g. Let q = -112 - -112. Let w(y) be the third derivative of 0*y**3 + 0*y**4 + y**2 + 0*y + 1\/60*y**5 + q. Give j(w(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 20 = 149. What are the prime factors of v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/7)\/(0 + (-10)\/6).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f + 3*f**4)*(1 + 1 + 1).\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, r: 8}. Give prob of picking 2 r and 1 o.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.136 - 0.536. Suppose 2*h - 5*h + 3*n - 3 = 0, -n + 5 = 0. Let x = 0.98 + -1.68. What is the fourth biggest value in x, h, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-279*t + 812*t - 316*t)*(-3*t - 2*t + 4*t).\nAnswer: -217*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a**2 + 5270*a**3 - 5272*a**3 + 78*a**2 + 2*a.\nAnswer: -2*a**3 + 91*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -29205 divided by -495\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 g when three letters picked without replacement from ndhdhnnnjjnnhghgjn.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/39)\/(26\/(-338)). Let r be (c*-1)\/(45\/810). Put r, -4, 4, 3 in ascending order.\nAnswer: r, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnz when three letters picked without replacement from yzntyzzyyfyzynfnpffz?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - g - 4. Suppose -g*d + 26 + 38 = 0. Suppose -z - 24 = -2*z. Calculate the highest common factor of z and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 7 = 0, 303*d + 44 = -4*g + 307*d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18330088 and 24.\nAnswer: 54990264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 37. Suppose -u*v + 3*v + 30 = 0. Factor -1\/4*t**2 - 1\/4*t**v + 0 + 0*t.\nAnswer: -t**2*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -44. Let o = m + -50. Let u = 418 + -415. Which is smaller: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 11:00 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -344 and -139032.56395.\nAnswer: -139376.56395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.468351 years in decades?\nAnswer: 0.0468351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 18 = 30. Factor -3 + 1 + 12*y**2 + 2 - 16*y**3 + i*y**4.\nAnswer: 4*y**2*(y - 3)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + t - 1. Let u(n) = -7*n**2 - 10*n + 9. Let m(x) = 6*k(x) + u(x). Let l be m(-4). Suppose 12 = h - 5*o - 5, l*o + 19 = h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3881 - 3881 - i - 16*i - 8*i. Let v(w) = -6*w. Calculate v(s(m)).\nAnswer: 150*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*i**3 + 9*i**3 - 4*i**3 - 6*i**3.\nAnswer: 65*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 123, 105, 87?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from csjcjxuu. What is prob of picking 2 u and 1 x?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 284 and 19170?\nAnswer: 38340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + 5 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 357143, 710675, 1064207?\nAnswer: 1417739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (60*f + 95*f - 130*f)*(-239*f - 2044 + 2044) as k*f**2 + t*f + x and give k.\nAnswer: -5975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -532*c + 6922. Give j(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 9*s + 16. Let l = 2201 - 2212. Give y(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.81 - 0.19. Let o = 19532 - 19532.3. What is the nearest to 0.1 in o, 3, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**4\/4 - f**3\/2 - f**2 + 7*f. Let c be q(3). Let 12*v**2 - 35 + 52*v**3 + 19 + c*v**4 - 42*v - 22*v = 0. What is v?\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -154*b + 16028. Determine m(98).\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 269 and 5111.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -b966?\nAnswer: -b965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 0 - 1\/10*h**5 - 8\/3*h**3 - 17*h + 4*h**2 + 5\/6*h**4. Suppose c(m) = 0. Calculate m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2670578 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**4 + t**2 + 2*t + 2. Let j = 6 - 8. Let h(x) = -x**3 - x**2 - x - 1. Let y(i) = j*h(i) - u(i). Factor y(s).\nAnswer: s**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 6:35 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.031, 0.4, 0?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 25. Let x(g) = 14*g + 3. List the prime factors of x(v).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182 and 56147.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 5*k + 70, 0*p - 5*k = -4*p + 53. Let d = 5 + p. What is the lowest common multiple of d and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -5*u - 29. Let p be 1*(-3 + 4)\/1. Suppose p = -10*o + u. Solve 0 = -2*r - 5*z + 27, -2*r - z = o*z - 17 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(68)*2*3)\/(1*sqrt(4356)).\nAnswer: 8*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*w - 64 = 0. Suppose 31 = 4*f + 4*x + x, -4*x = 4*f - w. Suppose -2*m = 3 - f. Solve -10 = 5*h + 5*i, -5*h + m*i - 19 = 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/12 - (1 + 1905\/(-2)). Suppose -9*b + q = -6*b. Let f = -175 + b. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -356\/1787, 0.4, 4, -1.\nAnswer: -1, -356\/1787, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n - 3*l + 4 = 0, 3*n - 3*l = 0. Let o be n\/(-3 - -1)*-3. Suppose 3*b - 51 = -o*p, 2*b + p - 38 = -7. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 40 - 200. Let b = 38 + y. Suppose 5*j - 5*i = 10, 5*j + 3*i - 29 = j. What is the smallest common multiple of j and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuffufuuuuuuuf. Give prob of sequence fufu.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004445 rounded to four decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3 + 213*j**2 + 1084*j + 1308 = 0. What is j?\nAnswer: -3, -2, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -426.539 to one decimal place.\nAnswer: -426.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**3 + w**2 + w - 1. Let q(s) = -2223*s**3 + 15*s**2 + 15*s - 15. Determine 30*j(z) - 2*q(z).\nAnswer: 4566*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44677 is divided by 3086.\nAnswer: 1473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 138\/11 in 3, -5, 8\/13, 0.2, -1\/6, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1283, 2406, 3529?\n\"Answer: 1123*l + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-three eighths of a microgram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -27006*k - 1. Let q(b) = -12*b. Determine s(q(m)).\nAnswer: 324072*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-702)\/(-144) + 7\/(-8) + 1. Suppose 5*x - 2 = 3. Sort x, i, -3 in increasing order.\nAnswer: -3, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 74 = 4*o, p + 5*o = 7 + 12. Let m = p - 51. Let d = -35 - m. Solve 3*u - d*s + 11 = -3, -4*s + 12 = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -899293671\/6958 - -129246. Are b and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.1 (b) 228 (c) -0.2 (d) 0.5 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7268 + 15098. Does 135 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24144\/(-4527)*(-14)\/(-35)*(-75)\/(-8)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**2 + 1. Let o(d) = 3*d. Let c(s) = 2*s. Let i = -58 - -57. Let k(z) = i*o(z) + 3*c(z). Calculate k(y(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -364537280.1 minus 231?\nAnswer: -364537511.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 13 = 3*h. Solve -5*o - 3 = -h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32651 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 11:12 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -2*h - 3*h - 4*d, -2*h + d + 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(3\/5))\/f*f**1)**(-6\/17))**(3\/19))**(-18) assuming f is positive.\nAnswer: f**(2592\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*i = -0*c + 25, -5*i = -3*c. Solve c*h = -1 - 14 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/(954\/72 + 4)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606524509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 9. Suppose 3*p - 5*z - 17 = -3*z, p = 2*z + o. Let h be 14\/(-7)*(-1*2)\/2. Which is smaller: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466163177 a multiple of 3045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 107, -304, -997, -1966, -3205?\n\"Answer: t**3 - 147*t**2 + 23*t + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 - -27. Let r be (q\/(-2))\/3 + -1. Differentiate -4 + 3*t + 2 - r*t - t with respect to t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f**3 + 1128\/7*f**2 + 0 + 6\/7*f**5 - 48\/7*f**4 - 960\/7*f = 0.\nAnswer: -5, 0, 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2719, 5476, 8265, 11086?\nAnswer: 13939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*a + 247956 = -97796. What is the thousands digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (3 + sqrt(5)*1) - 6*sqrt(245)) + (-3 + sqrt(5) + -4 - (0 + sqrt(15)\/sqrt(3)))**2.\nAnswer: -42*sqrt(5) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1179.8 + 1180. What is the nearest to -1.1 in -3, l, 4\/9, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 13026493?\nAnswer: 104211944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3168)*-3*3)\/((sqrt(16) + sqrt(784)*4 + sqrt(16))\/sqrt(8)).\nAnswer: -18*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 62445613\nAnswer: 6244561.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((48\/(-8))\/(-60))\/(9\/(-15))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 58 - 63 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d + 12. Let x(b) = -b**3 - 2*b**2 + 3. What is x(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from khuhkktuhhhkukuuhh?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z**2 - 2*z + 1. Let j be d(1). Let o = j - -53. What is the greatest common factor of o and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2 - 63503*d - 1397550 = 0.\nAnswer: -22, 63525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-45) + ((-4968)\/40 - 3). Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -94*d + 89*d - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-3*n + n + 4*n)*(3 - 14 + 3 + 2*n).\nAnswer: 8*n**2 - 32*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 6. Suppose 3*j + 0 = -h - 1, t = -3*h - 4*j + 7. Let x = -3.98 - 0.02. Which is the nearest to 0? (a) x (b) 1\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 9. Suppose c*h - 122 = 100. Suppose -5*m - 4*l = -107 - h, m + 5*l - 52 = 0. Calculate the greatest common divisor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 168*l - 27 = -171*l, 9*l - 8 = n + 49 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -23 (b) 3\/4 (c) 0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q + 11. Let u be j(9). What is the greatest common divisor of u and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + 35 + (-972)\/27.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 96*t - 16 + 35 - 197*t.\nAnswer: -293*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 7*n**4 - 27 + (5 - n - 5)*(2*n**3 - 3*n**3 + 3*n**3))*(75*n + 117*n - 223*n).\nAnswer: -155*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**4\/5 + 2278*l**3\/5 + 150531*l**2\/5 + 110878*l - 141440 = 0.\nAnswer: -2210, -64, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/64904 and -47\/96.\nAnswer: 778848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 11) to base 3\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 11*x - 29. Let r be 5\/(x\/2)*(-57)\/(-6). What is the greatest common divisor of r and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 241*k - 473. Let z be w(-2). Sort 4, z, 2, 3, 20.\nAnswer: 2, 3, 4, z, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126fe (base 16) to base 5.\nAnswer: 4404033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2528 and 22528.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1.2. Let v = -1105\/8 + 138. Which is the second smallest value? (a) 5 (b) v (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137861826, 137861828, 137861830, 137861832, 137861834?\nAnswer: 137861836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1.5, -0.1 in ascending order.\nAnswer: -1.5, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p**2 - 393*p**3 - 5*p + 388*p**3 + 0*p = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, d: 7, w: 8, k: 3}. Give prob of picking 1 d and 3 k.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 36*l**2 - 38*l - 107. Suppose 20*k = -577 - 123. Let s be z(k). What is the nearest to s in 0, 4\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 4 (b) 4.2 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -11*v**2 - 8*v. Let i(x) = -x. Determine 2*f(t) - 22*i(t).\nAnswer: -22*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1\/2 (b) -71 (c) -4 (d) 4 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 12. Let j be r(0). Let k = -16 + j. Let b(v) be the third derivative of v**4\/12 + v**3\/2 + 120*v**2 - v. What is b(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 7*o**2 - o - 3. Let z be f(7). Let q = 16 + z. Suppose 3 = 3*p - q. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1*1)\/((-9)\/(-18)). Let z = p + -2. Let v be (-424)\/(-10) - z\/(-10). What is the greatest common factor of 105 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34689107 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3159 divided by 351\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*n - 6, -2*g + 2*n - 180 + 198 = 0. Solve -12*f + 5*i = -14*f - 14, 2*i = -g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 11*h = 12*h - 176, -3*h + 165 = 4*w. Let o(i) = -i**2 - 7*i - 1. What is the lowest common multiple of o(-6) and w?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13005472 and 16.\nAnswer: 13005472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 4*y - 11, -3*w - 37*y + 35 = -32*y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*r = -109, 3*z - 5*r - 144 = -z. Let k = -17 + z. Solve -4*j = v - k, 6 = v + j + j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/((-7)\/(-3)))\/(-3). Let r = -42 - -24. Let a be r\/48 + 0\/x. Do 1 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24752066.\nAnswer: 2, 739, 16747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 43\nAnswer: 5\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -7*m**2 + 0 + 13\/6*m**4 + 0*m - 1\/3*m**3. Let d be n(3). What is the greatest common factor of 14 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, x: 2, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1363, -2754, -4149, -5548, -6951?\nAnswer: -8358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -111361\/633 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) - 120\/(-175). Let y = 5.2 - 0.2. Which is the third smallest value? (a) y (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*((-4)\/(-8) - (-18)\/(-20)). Which is the nearest to 2? (a) 0.5 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*s - 2\/3 - 5\/6*s**2 - 1\/6*s**3.\nAnswer: -(s + 1)*(s + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uoovvouuoovoouuuvuv. Give prob of sequence ovvo.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 139928898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 15) in base 13?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 230 + 282 = 0. What is the fourth smallest value in 41, -0.3, -2\/9, y?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 51.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 27 = -4*s - 3*h, -5*h = 2*s - 15. Let y(w) = 5*w**3 + 8*w**2 - 13*w - 4. Is y(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 62 - 86 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + o - 50. Let d(m) = m**3 + 4*m**2 - 4. Let l be d(-3). What is the highest common factor of l and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 23 = i + 16 - 40, 7*s - 3 = -2*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271800 a multiple of 1596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y = -59 + 152 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by 6\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 4*l**2 - 2*l + 5. Determine y(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.13697 - -0.23717. Round f to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -116*j + 3831. Let i be d(33). Let q(x) be the second derivative of 0 + 2*x**i + 29*x - 1\/6*x**4 - 9*x**2. Find n, given that q(n) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 81?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*25711285.\nAnswer: 102845140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/(-7)*55\/33. Let d(t) = -8*t**2 + 6*t + 6. Suppose -3*g = -2*q - 24, -5*q - 2*g = g + 18. Let j(p) = 7*p**2 - 5*p - 5. Calculate q*j(o) + y*d(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 + -3 - (-24)\/32. Suppose 5 = -3*r - 7. Is q <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 5*g**2 + 4*g + 10. Let o(i) = -1. Let x(n) = 6*o(n) + p(n). Calculate the remainder when 47 is divided by x(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s**5 + 1581*s**4 + 30705*s**3 + 135423*s**2 + 91644*s - 14700 = 0.\nAnswer: -7, -1, 2\/15, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1939838310?\nAnswer: 2, 3, 5, 107, 201437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h = -28*h + 4*c + 36, -3*h + 3*c = 27 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 51, 132, 239, 366, 507?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - -74*4846\/4. Let a be 1\/5 + b\/(-30). Let m = a + 3006. What is the common denominator of 9 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105129 (base 15) in base 5?\nAnswer: 144322024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 11:30 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-10)*4\/(-14)*(-574)\/(-1968)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 35. Let w(m) = m**2 - 8*m + 6. Let d be w(4). Let g be q(d). Solve 4*l = -l - g, -45 = -5*k + 5*l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 4 (b) 2 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6 = 3. Let b be ((-4)\/5)\/(2\/11). Let k = b - -64\/15. What is the nearest to 0 in k, x, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 74*g + 2125. Calculate the remainder when k(-54) is divided by 344.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1067030 + 0?\nAnswer: -1067030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45053 >= 225258\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7372717 divided by 7\nAnswer: 7372717\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(3*n**3 - 3*n**3 + n**5) + n + 4*n**5 - n + (-1 + n**2 + 1)*(9*n**3 + 34 - 34).\nAnswer: 11*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x = s - 3, 3*s - 2*x - 8 = 0. Suppose l - s = -0. Let h(y) = y + 54. Let a be h(-50). Solve -a*m + l = 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6155 + -1616. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -70? (a) 1\/7 (b) 0.3 (c) 4\/15 (d) -1\/4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5298 + 14051. Find the first derivative of -110 - 8753*j + 143*j**4 + k*j wrt j.\nAnswer: 572*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.3863 microseconds in hours?\nAnswer: 0.00000002955175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**3*d*y**2 + 2*a**3*y - a**2*y**2 + 7*a*d*y**2 - 70*a*y**2 wrt d.\nAnswer: 3*a**3*y**2 + 7*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3*t + 80, 111*t - 131*o + 132*o = 2780 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 23*c - 2*c)*(-15*c + 25 - 25 + c + 2*c - 4*c + (-3 + 0 + 1)*(-2 + 2 - 2*c) + 2*c - 5*c + 4*c - c + 0 + 0).\nAnswer: 276*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1. Let a(m) = -5*m + 16. Give -a(d) - 4*k(d).\nAnswer: 5*d - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**3\/8 - 1293*u**2\/8 - 1287*u\/4 = 0. What is u?\nAnswer: -429, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**3 - 45*l**2 + 30*l + 280 = 0. What is l?\nAnswer: -2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 1, e: 5, w: 1, g: 3, l: 2}. Give prob of sequence se.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*z + z - 116 = 0, -5*a - 5*z = 550. Let h be 4\/(-8) - a\/8. Is 15 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*x**2 + 13\/7*x - 10\/7 - 1\/7*x**3.\nAnswer: -(x - 2)*(x - 1)*(x + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4911790, -4911786, -4911784, -4911784, -4911786, -4911790?\nAnswer: -4911796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {h: 2, o: 7, l: 11}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {b: 5, f: 8}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 21*w**3 - 49701*w**2 + 530250*w - 353400 = 0.\nAnswer: 5\/7, 10, 2356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*j**3 - 23 + 24*j - 44*j + 37*j**3 to d + b*j + f*j**2 + o*j**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2127352956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.4 and 384.\nAnswer: -921.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n + 68 = 20 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 0.2, 0.02, -3, -2\/3, 229.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 527 = 65. Let s be 74 + r + 0 + -373008. What is s rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*t + 65*t + 8 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297 - 0.15.\nAnswer: 296.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**10\/(k\/((k\/(k*k**3))\/k)*k)*(k\/(k\/((k\/((k\/(k*k**3))\/k))\/k)*k))**(-23\/2))**(-1\/3))**(-3\/31) assuming k is positive.\nAnswer: k**(-61\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3986*s + 116*s + 611*s.\nAnswer: -3259*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -0.22.\nAnswer: 0.0176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4.82 times 0.022\nAnswer: -0.10604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24392236153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*z + 628 = -99*z. Let x = 157 + z. Solve x*m = m + 4, -k - 5*m - 16 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6 - 208\/(-6). Suppose 5*s - g = 4*r, 2*r = 4*s - 2*r - 32. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 3*d = -3, 17 = -3*k + 5*d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.27, -7, 7, -0.4 in decreasing order.\nAnswer: 7, -0.27, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcx when three letters picked without replacement from cggggxgcdogdfg?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(104)\/sqrt(2) + sqrt(52) + 1*sqrt(5200)))**2*6.\nAnswer: 909792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*b - 14*b = -567. Which is bigger: 232\/31 or b?\nAnswer: 232\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*y, 0 = 4*c + 4*y - 42 + 14. Let v = c + -11. Let o = 1 - v. What is the greatest common factor of 32 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00491870705 rounded to 6 decimal places?\nAnswer: -0.004919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -70*f**3\/3 - 1317*f + 117. What is the derivative of m(o) wrt o?\nAnswer: -140*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 2 + 1 + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/12, -5, -0.4, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 4 + 29*z + z**2 + 2 - 5*z**4 - 49*z + 7*z**4 to the form i*z**3 + g + o*z + q*z**4 + t*z**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 30\/7 (b) -11 (c) -1\/6 (d) -0.08 (e) 2 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 5*t - t - 30, 2*t - 40 = -3*n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 3 = -2*x - y, x - 5*y - 17 = 0. Let k = x + 11. Let t = k + -1. Solve 0 = 4*a, t*a = -4*z - z + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*1*(-35 - -27)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 767 + -1325\/2. Let s be 346\/4*(-12)\/(-9). Let z = b - s. Find the common denominator of z and 31\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f + 5*g + 197, 0 = 2*f - 4*g - 128. What are the prime factors of f?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20190 = -88*i - 16054 for i.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + -6)\/((-6)\/4). Suppose -9*a + 75 = -g*a. What is the remainder when a is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 124165708615 and 0.2?\nAnswer: 124165708614.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 41*b**2 - 45*b**2 - b + 437*b**3 - 439*b**3 + 6. Let g(w) = -5*w**3 - 11*w**2 - 3*w + 18. Give -4*g(k) + 11*t(k).\nAnswer: -2*k**3 + k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 145 - 291*d - 145 to p*d + a and give p.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 - 2*i + 2 + 2*i - 5 to x*i + r*i**2 + m + w*i**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9875*h**3 - 47*h**2 + 226*h wrt h.\nAnswer: -59250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -81*a + 179. What is the remainder when 576 is divided by o(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1080))\/(sqrt(100)\/(2*sqrt(10))).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 11*s - 7. Let o be b(-10). Solve 4*g = o*g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -368*g**2 + 180*g**2 - 1 + 186*g**2. Let w(z) = -3*z**2. What is n(w(x))?\nAnswer: -18*x**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u - 3. Let s be o(2). Let v = s - -25. Suppose -v = -l + 36. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1210.71 times 0.118\nAnswer: 142.86378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -8690 to the nearest 100.\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 + 51*s - 15. Give g(-26).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 0 + 1\/3*u**3 - 3\/2*u**2 - 2*u. Calculate a(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*l + 338209 = -60266. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 9 - 4)*(-3 + 6*y + 21*y - 16*y).\nAnswer: -209*y + 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 - -33. Let d be 3\/w*-2*7. Find the second derivative of -q**4 + 3*q - d*q**4 + 5*q**4 wrt q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (138\/4508)\/(72\/672)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0 + 16*d**2 - 5\/144*d**4 + 1\/18*d**3 + 0*d + 1\/90*d**5 - 1\/720*d**6. Find c, given that b(c) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*j - 140*j - 6976 + 1413 - 2809 = 0 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 0 - (4 + -2 + -3). What is the derivative of -146 - 16 - 93 + 38 + 52*p**a + 149*p**4 wrt p?\nAnswer: 804*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c (base 13) in base 9?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*v + v - 2*v)*(67 - 38 - 35)*(1 + 4*v - 6*v + 3*v) as g*v**2 + k*v + q and give g.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 1. Let v be i(-2). Suppose -v*y + 5*w + 13 = -7, -3*w = -3*y + 12. Suppose -5*g = -3*g + 4, 2*p + 3*g - 78 = y. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8 + 27028*7\/28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 5*y - 3. Suppose 3*f - 3 = 2*f. Suppose -4*j - 6 = 3*m - 22, -3*j - 30 = -f*m. Suppose 0 = m*h - 2*h + 18. Calculate k(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 196 + 338d?\nAnswer: 3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65430462?\nAnswer: 2, 3, 1291, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {k: 4, v: 1, d: 1, h: 3, x: 2, e: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -240 <= 0.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b + 30*b - 801 = 0. What is the remainder when b is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/10 and 121\/7540.\nAnswer: 7540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5077457 to the power of 1\/2, to the nearest integer?\nAnswer: 2253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 296 + -299. What is the tens digit of (((-1)\/j)\/1)\/(104\/267384)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 1:15 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:01 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**2 + 582*z - 19516. Calculate a(93).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 96*o - 2\/9*o**2 - 10368 = 0.\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 396873095*s + 604041454 wrt s.\nAnswer: 396873095","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-6\/7)\/((a\/(a*a**(-4)\/a*a*a*a*a*a))\/a)*(a\/(a\/a**2))\/a**(-5) assuming a is positive.\nAnswer: a**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -163475978 > -163475977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 201, 409, 617?\n\"Answer: 208*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g + 5. Let j(a) = -5*a - 9. Let p(i) = 6*j(i) + 13*t(i). Find the common denominator of p(5) and 1 - 1 - 215\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -243 + 184. Let x be (s + 55)*3\/(-4). Solve z + x = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/4)\/(81\/2970). Let u = -56 + b. Let k(h) = -1. Let a(s) = 6*s - 12. What is u*a(m) + 12*k(m)?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*d**3*n**3*w**3 - 2*d**3*n**2*w**3 + d**2*n*w**2 - 4*d*n**3 - 2*n**2*w**3 - 3*w wrt d.\nAnswer: -54*n**3*w**3 - 12*n**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as 2932322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -11, -33, -65?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -110112030 (base 4) to base 6\nAnswer: -1441500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/((-3)\/9))\/(5\/25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 11*i**2 + 16*i + 19. Let k be f(9). List the prime factors of ((-8)\/(-8))\/(k\/198).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716255 a multiple of 610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -148 - -159. Which is the closest to 0? (a) o (b) 0.5 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -88*j. Let c(d) = -59*d. What is -7*c(i) + 5*o(i)?\nAnswer: -27*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*q**2 - 37*q**2 + 78*q**2)*(8*q**3 - 17*q**3 - 4 + 2).\nAnswer: 18*q**5 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -68502371 divided by -7?\nAnswer: 9786053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 4\/9 (b) -1.4 (c) 5 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 11)*(-x**3 - 6*x**3 + 3*x**3) to the form i*x**3 + t*x + o*x**2 + z and give i.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -3*i**7\/70 - 7*i**3\/6 - 6*i**2 + 9. Let t(g) be the second derivative of f(g). Differentiate t(h) wrt h.\nAnswer: -36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-66) - (-31)\/6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 10*m**2 - 15*m + 7. Let w be a(-8). Let h be (-8)\/(-12) + 416\/(-12) + w. Is 19 a factor of 7\/h - 952\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550*c - 549*c - 10 = 4*y, y = -c + 5. What is the smallest value in 46, y, -2\/9, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9211 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 608.1884 years to decades.\nAnswer: 60.81884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 45895712677618.\nAnswer: -45895712677617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from iikfiikjifjiikikkij.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.03 (b) 3 (c) -13\/206 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 3317460?\nAnswer: 3317462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 460288, 460370, 460452, 460534, 460616, 460698?\nAnswer: 460780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13479 + 19469. Suppose 0 = 4*w - 5*x + 7*x - s, w + x = 1498. Suppose -w = -v - 167. Round v to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-30)\/(-8))\/(31 - 15519\/504) and 1191?\nAnswer: 7146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 46. Let y = o - -24. Solve y = -2*u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 7:14 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-100))\/(6\/(-90))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Suppose 5*l - 13 = 2*l + 5*j, -l = 3*j + 5. Sort -1, l, t.\nAnswer: -1, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-110)\/(-11))\/80)\/((-70)\/(-80))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3072*t**3 - 6450*t**2 + 4*t + 638634114 with respect to t.\nAnswer: 9216*t**2 - 12900*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/4 + 60)\/2. Are p and 27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3 - 227*v**2 + 2134*v + 2360 = 0. Calculate v.\nAnswer: -236, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3\/5*v + 6\/5*v**4 + 9\/5*v**5 + 6\/5 - 36\/5*v**2 - 6*v**3 = 0?\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*j**4 + j**3 + 1193*j wrt j?\nAnswer: 144*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 4*n**2 + 3*n + 1. Let q be y(-4). Suppose 0*p - 276 = -2*p. Suppose -p = 11*z - 28. Is z at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -40)\/8 - -195. Suppose 63 - 145 = -2*c - t, 5*c - y = 5*t. What is the smallest common multiple of 18 and c?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3 - 39*u + u**2 + 39*u + 3. Let h(p) = 344*p - 2. Calculate f(h(d)).\nAnswer: 118336*d**2 - 1376*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p + 6*p + 8*p**3 + 0*p**3 wrt p.\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.098 (b) 1\/3 (c) 364692 (d) 5\/6 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-518)\/(-74) + 2184\/(-264).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2811\/55 - 560\/11. What is the third biggest value in -1\/4, g, -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-33)*9\/(-12)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 494975633 to the power of 1\/3, to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c - 2. Let u(d) = 7. Let n(x) = 6*x + 6. Let k(f) = n(f) - u(f). Give -3*k(h) + 2*o(h).\nAnswer: -8*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 69*l + 572. What is s(24)?\nAnswer: 2228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-124)\/((-6696)\/405)*36\/10.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 + 0 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 12:30 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 326509187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 7:43 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddf when three letters picked without replacement from ssfssssfdsssdsssds.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 4308*x**2 + 61384*x + 314208.\nAnswer: -4*(x - 18)*(x + 4)*(x + 1091)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 320991*i*z**3 - 10*i*z**2 - 2*i*z - 323*i wrt z.\nAnswer: 1925946*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38985 = -466*i - 15219 for i.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(420)*-2)\/(2*sqrt(108)))\/((sqrt(500) + (sqrt(500) + (sqrt(500) - -6*(sqrt(500) - sqrt(500)*1)) - sqrt(500)))*-4).\nAnswer: sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38830 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 105174049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6 + 2*g - 15*g**2 + 2 + 2 + 5. Let i(l) = 8*l**2 - l - 8. Suppose -3*x = -0*x + 33. Let t(h) = x*i(h) - 6*c(h). Give t(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -249412 (base 13) to base 9\nAnswer: -1576371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/2 (b) 0.113922 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 21*t**4\/4 - 5*t**3\/3 - t + 32. Is g(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(3*(-6)\/27). Suppose 22 = s*w - 5*c - 45, w - c - 19 = 0. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -560670 by -33.\nAnswer: 16990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3038131.61694 and 1?\nAnswer: 3038132.61694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhllyyhhhnhyl. What is prob of sequence hn?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 - 9*w + w**4 - 2 - 2*w**4 + 1 + 11*w as y + u*w**3 + l*w**2 + d*w**4 + i*w and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u + 8*u**3 - 1284*u**4 + 1285*u**4 - 3*u**3 + 8*u**2.\nAnswer: u*(u + 1)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 9:10 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = 0, -2*i = 2*n - 1 - 5. Solve -o - 3 = i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 0*w + 1, 2*w = 4*k - 2. Suppose z - 2*z + 3*o - 9 = k, 5*z - 3*o + 45 = 0. Let q be (-22)\/z - (-4)\/(-2). Sort 3, q, -1\/4.\nAnswer: -1\/4, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 77 = -147. Let s be (180\/8)\/((-1)\/(-2)). Let j = 74 - s. Calculate the remainder when b is divided by j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-253*(-27)\/(-2970).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.650890967 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 + 2 - 2 + (6 - 3 - 4 - 2*z)*(-68*z - 78*z - 2 + 16*z)*(1 - 1 - 2*z).\nAnswer: -519*z**3 - 268*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + -51 - (0 - (1 + 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -957173\nAnswer: 1914346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -96 + 170. What are the prime factors of z?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158532 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -614, -645, -694, -761?\n\"Answer: -9*n**2 - 4*n - 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20511 is divided by 2925.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 690411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 13 = -15. Let p = b + -11. Calculate the remainder when p is divided by 18\/(-5)*115\/(-69).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**2\/7 - 23*u\/7 - 16 = 0?\nAnswer: -16, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60282 is divided by 3603.\nAnswer: 2634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -13. Let f be (u - 52\/(-12)) + -3. Factor 0*c**2 + 0 + f*c**4 + 0*c + 8\/3*c**5 + 2\/3*c**3.\nAnswer: 2*c**3*(c + 1)*(4*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1393 divided by -5?\nAnswer: 1393\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 12 = -4*o, -2*o = 2*h - 0 - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c63d (base 15) in base 3?\nAnswer: 100211211011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 5*f + 9. Let p be a(-3). Let r be (-100)\/24 + 2\/p. Let n be (0\/5)\/((-4)\/r). Which is greater: n or -2\/79?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -592, -541, -458, -343?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/10 + (126\/45 - 0). Let r(p) be the first derivative of -5\/4*p**4 + 0*p**3 + 0*p**l - 2 + 11*p. What is the derivative of r(c) wrt c?\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((7 - 59)*545)\/(-2). Is (-7)\/7*(-3 - y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**4\/12 + 2*h**3\/3 + 8*h**2 - 25*h - 2. What is the units digit of w(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15, -28, -39, -48, -55?\n\"Answer: w**2 - 16*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 + 2 - c**3 + c**3 + (-629 + 629 + 125*c**3)*(-1 - 1 + 1) to the form a + u*c**3 + p*c + r*c**2 and give u.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.1 to 1 dp.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 198594180 a multiple of 972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -417966708*c**4 - 58428386*c**2 wrt c.\nAnswer: -10031200992*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-24)\/240*4\/28*36.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 3*o = -7*m + 9, 0 = -2*m + 4*o - 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-2*-1 + sqrt(95) + sqrt(95) + (sqrt(95)*2*-2 - sqrt(95)))\/(5*sqrt(245)*-2).\nAnswer: sqrt(19)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2217 * -18.5.\nAnswer: 41014.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 65*z**2 - 224*z + 687. What are the prime factors of q(70)?\nAnswer: 3, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 16, -2*h - w = -0*w. Suppose u + 80 = v, -h*u + 3*v = 115 + 41. Calculate the common denominator of (-510)\/u - (-1 - -2) and 93\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.417456 rounded to 2 dps?\nAnswer: 4.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 60 = -4*d, 21175*d - 42349*d + 21172*d = -a + 33 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -129*y**7\/14 + y**4\/6 + 1248*y**2 - 969*y - 3. Find the third derivative of z(a) wrt a.\nAnswer: -23220*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9658 is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 13*n - 15. Suppose -24 = -2*v + 3*u, -5*u + u - 60 = -5*v. Let q be m(v). Calculate the remainder when (-4)\/6 - 149\/q is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108298580*a**3 - 216457540*a**2 - 279195*a - 90.\nAnswer: 5*(a - 2)*(4654*a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**3 + 2. Let w(j) = -10*j**3 + 7. Suppose -5*n = -2*f - 26, 0 = -2*n + f - 3*f + 16. Determine n*w(q) - 21*b(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*v + 2*u + 2, 4*v + u - 15 = 0. Suppose 6*k + 5*a = k, v*a = -4*k - 2. Suppose 0 = 5*p + 2*n - 1 - k, -3*n - 4 = -p. Is 2 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/(-4))\/(46\/322*63\/(-594)*-11).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.0834.\nAnswer: 0.1668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 375*o - 16146.\nAnswer: (o - 414)*(o + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -4\/5, -81, 0.3, -0.5.\nAnswer: -81, -4\/5, -0.5, 0.3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 4*o - 93 + 17, w + 23 = 2*o. Let r be w\/(-3) + 1 + -3. What is the tens digit of 50\/3 + r\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z**2 + 10*z. Determine k(3).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*y + 0*y**2 + 49*y - 10*y - 2*y**2.\nAnswer: -2*y**2 - 185*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g. Let s = -1 + -1. Let u(z) = 2*z**2 - 3*z - 1. Calculate s*y(d) + u(d).\nAnswer: 2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168465012 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/42 - (-8)\/3. Suppose 4*y = 2*d - 0*y + 18, -2*y + 11 = -3*d. Let i be d\/(-4) + 35\/4. Solve g + m + 3 = 0, 0*m - s*m - i = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14 - 111551540.\nAnswer: -111551539.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25 or -2311?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 717 - 127. What is the remainder when x is divided by 20 + -3 + -2 + 9\/1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1383*q**2. Let g(r) = 70*r**2 - 5*r - 60. Let m(k) = 13*k**2 - k - 12. Let x(t) = -g(t) + 5*m(t). Determine u(x(v)).\nAnswer: -34575*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(-b + 3*b + b)*(0 + 0 - b).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5*v + 40 = 0, 4*v - 8*v = -d + 23 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387, 508, 629, 750, 871?\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*o = -o - 3, 0 = 5*d - o - 23. Suppose 12 = -4*t + d. Let w be 1 - 6 - t - -1060003. What is w rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j - 9. Let i be (-3)\/(-2) + 1 - (-9)\/(-18). Let m(v) = -3*v - 4. What is i*b(p) - 5*m(p)?\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1365673, -2731353, -4097037, -5462725?\nAnswer: -6828417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -166. Let j = 163.04 - t. Let i = 39 + -36. Which is the nearest to j? (a) i (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -16 + 3*a + 18 + a - 5*a. Give u(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 6. Let v(w) = -w + 8. Let i(u) = 6*o(u) - 5*v(u). Let q(z) = -z - 3. Let t(p) = -3*i(p) + 4*q(p). Let c(l) = -53*l - 1. Calculate c(t(k)).\nAnswer: 53*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*d**3*q + 14*d**3 - 2*d*q + 2 wrt q?\nAnswer: 29*d**3 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.112892 times 2?\nAnswer: 0.225784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/((-105)\/56*4\/10).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/5 or -51?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2585 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 7:54 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express t**4 - 2*t**4 - 1332*t + 1316*t + 1 in the form d*t**2 + h*t**4 + x*t**3 + p + u*t and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 134746517 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 1a61c3e?\nAnswer: 1a61c3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1880 and 101\/14?\nAnswer: 13160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 4178\nAnswer: -4\/2089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -398, -800, -1200, -1598, -1994?\n\"Answer: g**2 - 405*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 368209.4 weeks to seconds.\nAnswer: 222693045120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1195 is divided by 506.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 + 34. Let x = 12 + r. What is the closest to x in 2\/11, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.92 - -57.3. Let n = -141 + 77. Let a = t + n. Round a to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 929*i**3 - 597*i**3 + 660*i**3 + 481*i**3.\nAnswer: 1473*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51129, -52195, -55095, -60747, -70069, -83979, -103395, -129235?\nAnswer: -162417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -11*x**4\/6 - x**3\/2 + 2*x**2 - 2*x. Let y be i(4). Let o = 523 + y. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -321.12355892 + 5.12371792. Let b = -316 - y. What is b rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 15) in base 4?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -1.0517, 0.2, 6, 5\/2, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -146 + 150. Suppose -4*g + z*a + 16 = 0, -a + 0*a - 11 = -2*g. What is the remainder when ((-8)\/10)\/((-1)\/20) is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 565 - 546. Suppose 5*g + p = -2*x, -4*g + 25*x - 22*x - 6 = 0. Let y(o) = o**2 + 7*o + 2. Let m(u) = -4*u - 1. Determine g*y(d) - 5*m(d).\nAnswer: -3*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*l + 2*l - 24*l)*(-5 + 1 - 2)*(3 - 1 - 1) in the form k + p*l and give p.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/5 + 498*y**4\/5 - 1330*y**3 + 16494*y**2\/5 - 2068*y = 0.\nAnswer: 0, 1, 2, 11, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 80453340 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97365?\nAnswer: 3, 5, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120100101101121 + -1?\nAnswer: -120100101101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 11. Let s be p(-6). Let r be 1\/3 + 1120\/15. Let k = r - 76. Sort -3, 12, k, s.\nAnswer: -3, k, s, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1496 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 349 = 5*m, -3*m + 884 = 5*k - 2*m. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/7)\/((h*(h\/(h*h**(-1))*h)\/h*h)\/h))\/(h**(3\/7)*h**(-3\/2)) assuming h is positive.\nAnswer: h**(-5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 2208*s - 2289*s - 99 - 1055 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 - 2583*b + 2583*b.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10430 + 52154\/5. Which is the closest to 0.1? (a) -0.1 (b) 1\/4 (c) k (d) -225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2398413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3))**16*(s**(4\/7)\/s*s)\/s*s**(1\/2))\/((s**1)**(-2\/11))**(5\/9) assuming s is positive.\nAnswer: s**(-7153\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/2*(-13 - (-285)\/(-45)). Is 151 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 4*y - 8, 2*o - 3*o = 4*y + 14. Suppose s + o*k - 19 = -3, 0 = -3*k + 15. Is 3 a factor of (-104)\/(-18) + s\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 + 14*h**3 - 6*h**2 - 46*h - 28.\nAnswer: 2*(h - 2)*(h + 1)**2*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429691696 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 144\/5 + 0*v**2 - 146\/5*v + 2\/5*v**3 = 0.\nAnswer: -9, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16424, 32844, 49266, 65690?\nAnswer: 82116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/13)*(t**(-2\/11)*t)\/t)**(-1\/2) assuming t is positive.\nAnswer: t**(-139\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2790874913?\nAnswer: 31, 109, 825947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*v - 31*v + 165. Suppose -l = v*l. Solve 0*q - q - 4 = l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21662013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**5 - 9*c**4 - 8*c**3 + 2*c**2 - 4082*c - 3?\nAnswer: 120*c**2 - 216*c - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 15. Let y be d(19). Let z = -27 + y. Suppose x - 196 = -3*x. What is the highest common factor of x and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.108536 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -765\/44 - -749\/44. Put d, 8, 2\/13, -3, 4 in decreasing order.\nAnswer: 8, 4, 2\/13, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 2*a - 1. Suppose -7*f = -3*f + 8. Let m(c) = -2*c. What is f*d(q) - 3*m(q)?\nAnswer: 2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 2292373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9507ca (base 14) in base 10?\nAnswer: 5034046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.75 - -10.45. Let q = -9.3 + t. Let z = -7 - -11. Which is bigger: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1568280 and -55\/1097796?\nAnswer: 10977960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + g = 9, 5*j = 3*g - 2 - 3. Let u(x) = -x**2 - 9*x + 5. Let y be u(-9). Suppose 9 = 5*t - 4*i - 9, -y*i - 8 = t. Solve -j*w + 4 = -t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1172517 is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 154\/(-33) + 12.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-67)\/6 - 176\/(-16). Which is the closest to 29? (a) m (b) 1\/5 (c) 0.1 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7731982 is divided by 297383?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/(-6))\/((-30)\/(-45)). Suppose -p*b = -b - 3. Solve -5 = -2*i - b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2464 divided by 11.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2096, -12001, -28508, -51617, -81328?\n\"Answer: -3301*v**2 - 2*v + 1207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-147242)\/(-3071) + 2\/37. Calculate the highest common divisor of n and 1176.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -609663.1 plus -3?\nAnswer: -609666.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxpqxxxpp. What is prob of picking 4 x?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 32?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.037945 - -6.903?\nAnswer: 9.940945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/(-105) + 200\/14. Let k(u) = -8*u**3 - 7*u**2 + u - 7. Let m = 27 + -29. Let s(f) = -f**3 - f**2 - 1. Determine d*s(n) + m*k(n).\nAnswer: 2*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28461?\nAnswer: 3, 53, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, 8, 29, 76, 161?\n\"Answer: 2*h**3 - 5*h**2 + 8*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14212.\nAnswer: 2, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*r = 9, -3*r - 20 = a - 1. Sort a, -2, -8.\nAnswer: -8, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s + 3. Let p(v) = -239 + 475 + v - 235. Give 2*m(h) - 6*p(h).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123 - -21. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*h = a - 22, 0 = -5*a + 2*h + 119. Suppose 0 = -n + 1, 4*r - a = -n + 4*n. Suppose -4*i**3 + 2*i**3 - r*i**2 + 8*i**2 + i**4 = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 5 (c) -49 (d) -3 (e) -10\/21 (f) 7 (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1065736 + 245.\nAnswer: -1065491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d - d)*(-2 + 2 + 1)*(5*d - 2*d - 4*d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -358*j - 3926. Let t be s(-11). Solve d + 3*b - 16 = 0, d - t*b + 11*b + 4 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 161201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + n. Let t = -276 - -270. Let l(p) = -2*p**4 + 37*p**3 - 6*p**2 + 28*p. Let m(i) = t*x(i) - l(i). Find the second derivative of m(h) wrt h.\nAnswer: 24*h**2 - 222*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 17. Let v(j) = 2*j - 5. Let o be v(-1). Is o less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4607 divided by -12789.\nAnswer: 4607\/12789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(4032) + (sqrt(4032) - (sqrt(4032) - -1*sqrt(4032))) - sqrt(28) - sqrt(28))\/(sqrt(4)*-2*4).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.02582 - -218.9\nAnswer: 218.87418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*a + 1. What are the prime factors of (-141)\/(-6) - (-3)\/a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t. Suppose 0 = -5*x + 10 - 0. Suppose i - 6 = 2*y - 7*y, -x*i - 14 = -3*y. Let p(h) = 0 + 1 - 1 + 4*h**y. Give p(s(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17206830.\nAnswer: 2, 3, 5, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/62 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*s + 14, -5*r + 2*s = -5 - 5. Suppose -r*h - 205 + 493 = 0. Does 24 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5742?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v**2. Let t(u) = 3278569*u. Calculate t(w(h)).\nAnswer: 19671414*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 7*s**2. Let o be x(-7). Suppose o*d - d = -14. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 84, -6\/29, -1.1?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*j + 10 = 0, -7*f = -4*f + 4*j - 2. Let n(k) = -k**2 - 2*k + 2. Let v(d) = d**2 - d + 1. Give f*v(t) + n(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(5)*-1*-6) - sqrt(6)\/sqrt(288).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i - 18 = -4*r, 4*i - 4 = 2*r. What is the remainder when (-1 - i) + 2*8 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/(-10) + (-2)\/(-5). Find the common denominator of -26*(-15)\/(-24)*7\/(-5) and (25\/3)\/((-11)\/o).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*s*x**2 + 1852*s*x - 363984*x**2 - 13*x + 329 wrt x.\nAnswer: 164*s - 727968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2 - 113 = 0. Let x(q) = 23*q**2. Let l be x(1). Let d = g - l. Solve 5*t + k - 4 - d = 0, 0 = -5*t + 4*k + 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - y + 2*y)*(193*y**2 + 1556*y - 1556*y)*(3*y - 2*y**2 - 3*y).\nAnswer: 386*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*l**2*z + 2226*l*z**3 - 4*z**3 + 136*z - 16 with respect to l.\nAnswer: 14*l*z + 2226*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.7, -0.2, -0.48, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 14 + 7)*(g - g - 2*g**3) - 1 - 90*g**3 - 4*g**2 + 87*g**3 - 1 in the form x*g + n*g**2 + h*g**3 + s and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 22*o**2. Let j(w) be the third derivative of w**4\/8 + 18*w**2. Determine z(j(g)).\nAnswer: 198*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*p. Suppose -q - 8 = z, 3*q + p*q = 3*z. Put 4, -2, q in ascending order.\nAnswer: q, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279973830 to the power of 1\/3, to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -10 - (1 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/24932 and 51\/322.\nAnswer: 174524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -44002011114?\nAnswer: 44002011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - -211817?\nAnswer: 211827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3304 - -3311. Solve -k*p - 15 = -22 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/(c*(c\/c**(-7\/2))\/c)*c*c**(-21))\/(c**16*c*c**(-21)) assuming c is positive.\nAnswer: c**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 5:35 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/27)\/((h\/(h\/(h\/(h\/h**(4\/5))*h)))\/h))**(-25) assuming h is positive.\nAnswer: h**(490\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/2 (b) 0.5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*k - 1 = i + 294*k, -6*k - 33 = 15*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 15*g - 6. Let p be l(9). Let m = p + -10. Let n = m - 39. Sort -0.1, n, 3\/5, -1\/4 in decreasing order.\nAnswer: 3\/5, -0.1, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + d + 0*d)*(-1 + 1 - 1)*(d**3 + 3*d**3 - 3*d**3)*(5 + 1 + 4).\nAnswer: 40*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + 18*z - 135. What is j(8)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 75*k**3 - 44*k**3 - 693*k**3 - 1690*k + 6175*k**2 + 35*k**4 - 258*k**3 = 0.\nAnswer: 0, 2\/7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0 = -8. Suppose -3*v - v + 22 = 3*t, -t = -d*v + 6. Solve 4*h - h = 2*j + 11, -3*j = -v*h + 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3 + 17. Solve 0 = 6*p - a*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/321, 1\/8, 5, -0.16, 1 in increasing order.\nAnswer: -5, -0.16, 2\/321, 1\/8, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5883185 (base 9) to base 7\nAnswer: -36032024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2807, -5414, -8019, -10622?\nAnswer: -13223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 237911411*j**4 + 252857983*j**2?\nAnswer: 5709873864*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 11) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25257 - 25260. What is the nearest to -2 in 2\/11, -1149, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674167777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one halves of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y - 24. Give o(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 51, -1, -77, -189, -349, -569?\n\"Answer: -2*k**3 - 38*k + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12045.\nAnswer: 3, 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 152067965 = 152067966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0, -0.3, -238208, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -277130000 to the nearest 1000000.\nAnswer: -277000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r - 7*r**2 - 2*r + r**3 - 8 + 4*r**2. Calculate the remainder when d(5) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**6\/120 + 7*q**5\/60 + 7*q**4\/24 - 4*q**3\/3 + 25*q**2 - q. Does 11 divide r(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*r + 4, -s + r + 8 = -r. Suppose 3*q + 3 - 9 = 0. Let v(f) = 3*f**2 + f**2 - 4*f - 3*f**2 + q. Determine v(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = 25. Suppose -x - 3*x = -4*t + 12, -5*x - 4*t + c = 0. Solve 0 = 5*r - 3 - x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4096, -9112, -15054, -21922?\n\"Answer: -463*h**2 - 3627*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/(b\/(b\/(b\/(b\/b**(-2\/5)))*b))))**(-9\/8)\/(b\/(b\/(b\/b**7)*b))**22 assuming b is positive.\nAnswer: b**(3089\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 + 6*j**2 - 4*j**3 - j + 6 - 5. Suppose v + 2*z + 1 = 15, 4*v + z = 28. What is m(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3510029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 44358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t - 20 = 0. Let d be (56\/t)\/(2\/(-15)). Suppose 4*i = i + d. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/264 and -109\/426.\nAnswer: 18744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 10*g**2 + 2*g - 1. Determine f(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d - d - 2772 = 0. Let n be d\/(-280) - 12\/15. What is the third smallest value in n, 3, -83, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -0.7 (c) 0.4 (d) -13\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 7 = -10*p + 7*p, -4*r - 2*p - 10 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37, -13, 23, 65, 107?\n\"Answer: -d**3 + 12*d**2 - 5*d - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5761*o**3 + 6681*o**3 - 2 + 2 + (0 + 0 - o**2)*(2*o - 4*o + 0*o) - o**3 + 3*o**3 - o**3 as a*o**2 + q*o**3 + b*o + l and give q.\nAnswer: 923","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 - 16*c + 53 + (0 - 1 + 0)*(0*c + 2*c - c))*(c**3 + 0*c**3 + c**3).\nAnswer: -34*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(-2*x + 4*x + 35 - 36).\nAnswer: -4*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + (sqrt(300) - (sqrt(300) + 0))*6 + 3)**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 11 + -2 - -54*1734\/(-1377).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19835479 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 20*v**2 + 17*v - 32. Let j be k(-19). Suppose -y = 2*y - j. Suppose c + 3*i = 79, -y*c = 3*i - 10 - 151. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, w: 2, y: 3, g: 1, z: 3}. Give prob of picking 1 g and 1 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - 1833372 - 6*x**3 + 1833372 + 6*x**3 + 6*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2606 is divided by 199?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.71 - 5.71. Put -6, l, 38 in ascending order.\nAnswer: -6, l, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1531715, -4\/3, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-35)\/(-10))\/7 - (-410)\/140. Which is smaller: 3 or n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6) + 2035\/(-3). Calculate the common denominator of 6\/(-9)*282\/8 and (i\/28)\/((-36)\/14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31a202 (base 15) to base 5\nAnswer: -1101103302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 0) + 5 + -3. Suppose -5*h + 10817 = -4*l, 2*l - 5*l - 8653 = -u*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + -5 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -11. Let n(c) = 11*c + 5. Let x(a) = 4 + 9*a + 12 + 3*a - 10. Calculate k*n(q) + 5*x(q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4971 = -20*u + 17*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -16*k**2 + 18*k + 83. Let m be z(-11). Let n = m + 4554. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -103*k**2 + 4516*k + 9031. What is q(-2)?\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, s: 7, b: 2, w: 5}. What is prob of picking 1 w and 1 g?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and -307.\nAnswer: -4912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*g = -3*j + 227*g + 25, -12 = -3*g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -61071*d. Let v(o) = -22*o + 1. Give v(q(u)).\nAnswer: 1343562*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -0.4, 3, 222, -0.5.\nAnswer: -4\/5, -0.5, -0.4, 3, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58787419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 47*m**2 + 91*m + 107. Is k(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 12*b**2. Let t(r) be the first derivative of r**3\/3 - 10. What is o(i) - 3*t(i)?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0243 and 333.1?\nAnswer: -8.09433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 145388.68398 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 6*z**2 + 7*z + 4. What is the remainder when 13 is divided by s(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 21*p**2 + 19*p - 22. Let u be i(-20). What is the nearest to u in -2, -2\/7, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d + 3. Let s be (-50)\/(-125)*(-35)\/(-1). Let l be 3*s\/36 + d\/(-18). What is the highest common divisor of 27 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 808*i**3 + 126*i**3 + 80*i**3 + 1113*i**3 + 225*i**3.\nAnswer: 2352*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77175 and 224100.\nAnswer: 76866300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6c + -2?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40141 + 40*i**2 + 40141 + ((-3 - 3 + 7)*(0*i + 0*i + i) + i + 0*i + i)*(6*i - 3*i + 2*i).\nAnswer: 55*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*q**2 + 15345*f**3 + 3*f**2*q + f*q**3 + 34*f*q**2 + 12*q**3 wrt q?\nAnswer: -4*f**3 + 6*f*q + 68*f + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/13))**(1\/4)\/(u\/((u**(2\/7)*u)\/u))**(-7) assuming u is positive.\nAnswer: u**(131\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/3 + 159454*k\/3 + 106300.\nAnswer: 2*(k + 2)*(k + 79725)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*d - 73*d + 86*d + 135*d as u*d + t and give u.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8003 and 66289.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-795)\/(-106))\/(107\/214)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/18 - (-23)\/3. Suppose 25 = 5*r + 2*k - x*k, k = 4*r - 14. Let a = 19 - 13. Solve s = -r*m - a, 6*s + 7 = 2*s + 5*m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 936 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20212101110022 (base 3) in base 7?\nAnswer: 43005263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75bd (base 16) to base 10.\nAnswer: -30141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**1)**11*s\/((s*s**(-2\/5)\/s)\/s)*s\/((s\/(s*s**(1\/2)*s))\/s)*s assuming s is positive.\nAnswer: s**(289\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3649 + 95*c + 3649 as u*c + g and give u.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89318 is divided by 220?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58856 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**3\/2 + 2505*w**2 + 3135006*w - 6280036 = 0?\nAnswer: -2506, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 17*s**2 + s - 11. Let d be n(17). Is (d\/(-8))\/(9\/(-6876)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1052994*o**4 + 1642091 with respect to o.\nAnswer: -4211976*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10343 + (-33)\/(99\/(-42))?\nAnswer: 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6475)\/(-15) - (-28)\/12. Let p = c - 182. What is the remainder when p is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -773.2 and 2.48.\nAnswer: -1917.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 32148900*t**4 + 39327120*t**3 + 7185789*t**2 + 7571*t + 2 = 0. Calculate t.\nAnswer: -1, -2\/9, -1\/1890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -17. Let k be (-1)\/(-2) + 238\/4. Let c = 123 - k. What is the greatest common factor of c and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -47 + 2800\/56\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/92 and 159\/164780?\nAnswer: 3789940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 5 + 7. Suppose 3*x + y + 152 = 7*x, -4*y = d*x - 133. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 411*l**2 - 70*l - 885. Is j(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(-61*b**3 + 156*b**3 + 74*b**3) to y*b**2 + r*b + j + p*b**3 and give p.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 is divided by (-348)\/290 + (-361)\/(-5)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2344.8 - -2100. Let p = 245 + o. What is the third smallest value in p, -1\/3, -1.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -4*u**3\/3 - 9*u**2\/2 + 6*u - 19. Let v(n) = -2*n**2 - 4*n + 3. Give -3*q(d) + 7*v(d).\nAnswer: -2*d**2 - d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 546061 (base 9) in base 2?\nAnswer: 1001111100100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9643 + -6962. Does 87 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46912, -93687, -140462, -187237, -234012?\nAnswer: -280787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -5*f. Suppose f = 2*o - 0 + 10. Let t = -2.4 + 5.4. Which is the second biggest value? (a) t (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -189, -521, -1093, -1965, -3197?\nAnswer: -4849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 1:47 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 19 + 11. Suppose -c + l*x + 54 = -120, 5*x - 721 = -4*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1900) - sqrt(1900))**2 - (sqrt(209)*1)\/sqrt(11).\nAnswer: -sqrt(19) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35677053598 + -36.\nAnswer: 35677053562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -3. Let t = 7 + u. Let m = -2\/5 + 16\/15. What is the nearest to m in 3, t, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**5\/11 + 274*f**4\/11 + 9788*f**3\/11 + 27740*f**2\/11 + 27202*f\/11 + 8978\/11 = 0.\nAnswer: -67, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1336*d**3*t**4 - d**3*t - 109*d**2*t**2 - 2*d*t**6 - 2 wrt t.\nAnswer: -32064*d**3*t - 240*d*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/5)*k\/k**(-22)*k**16\/k*k\/(k**(-5\/2)\/k) assuming k is positive.\nAnswer: k**(431\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + h = 4881, 3*g - 607 = 5*h - 7946. Let i be 0 + 5 + g\/69. Let s = -30 - i. Which is the fourth smallest value? (a) s (b) 4 (c) -0.3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-39)\/(-18) - 2\/12. Factor -2 - 4*r - r + r - 2*r**j.\nAnswer: -2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 224 + 247 = -3*c, k = -19*c - 131 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 20*c - 1331. Give v(66).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2390?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*y + 12. Let u be y*(24\/9 - 3). Put u, 3, -1 in descending order.\nAnswer: 3, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -10*a - 11. Let i(t) = 6*t - 2 - 11*t + 3 + 6*t. Let g = 1 - -1. Determine g*n(y) + 22*i(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 8*v + 17. Let n be w(5). Let z(s) = s**n + 19*s + 25 + 3*s - 5*s. Is z(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r + 13. Let f(a) = 4*a - 12. Give -6*f(u) - 5*j(u).\nAnswer: u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 3*((-92)\/10)\/(12\/(-10))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, -2\/57, -7, -22.7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 22 = -2*s, 2*s - 48 = 2*c + 2. Suppose -42 - 6 = -4*i. Calculate the remainder when s is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79770965749 + 0.03.\nAnswer: 79770965749.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/407764 and -107\/1666?\nAnswer: 48523916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3358428.\nAnswer: 2, 3, 239, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 5, -1, -5, -4.\nAnswer: -5, -4, -1, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 917014464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 3*u**2 - u - 3. Calculate m(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1164?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41229 by 27.\nAnswer: 1527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*(5 + (sqrt(63))**2).\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 124?\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 5*a - 1035. Let d = a + 387. Suppose -45 = 3*y - d. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -37*u**3 - u**2. Let g be d(-1). Suppose g = 9*n - 6*n. Calculate the remainder when (-318)\/(-9) - (-3)\/(-9) is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4154, 4199, 4242, 4283, 4322, 4359, 4394?\nAnswer: 4427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 w when four letters picked without replacement from iiiwwiwiii?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -408111 - -1011201. What is h rounded to the nearest ten thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90 + 90. Suppose g = 103*q - 99*q + 264. Is (-7 - 11)*(q\/9 - -2) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 2*y**2 - 11*y. Let w = 430 + -428. Let m(x) = -2*x**3 + 5*x**2 + 23*x. Give w*m(k) + 5*f(k).\nAnswer: k**3 - 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172235, -344249, -516075, -687719, -859187, -1030485, -1201619?\nAnswer: -1372595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wws when three letters picked without replacement from swswssssssss.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -450.5 - -444.5. Let g = 115 - 114.8. What is the closest to b in 5, g, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 8*z - 8. Let a be c(6). Suppose f = -a*f - 5. Let q be f\/(-3)*3\/(-5). Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-1 + -1 - -11) + 43 + -49)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 4*h - 48 = 0. Calculate the smallest common multiple of h and 5514.\nAnswer: 22056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b**2*x**2 + 54*b**2*x + 3*b**2 - 3*b*x**2 + 5*x**3 + 46043*x**2 - 417070*x wrt x?\nAnswer: 10*b**2 - 6*b + 30*x + 92086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(2\/11)*b*b*b\/(b*b**(-4)))\/(b\/(b\/(b*b**(-1)))*b**(2\/9)) assuming b is positive.\nAnswer: b**(788\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 6*p**2 + p + 1. Let g be c(6). Suppose 3 = -f + g. What is the smallest common multiple of 1\/(1\/14) + 2 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -5. Let c be 96\/40 - (u - -1). What is z in 2\/5*z**4 - c*z**2 - 2\/5*z**3 + 2\/5*z + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5 - 8 - 1 + i**2 - 4*i + 0*i**2. Let a(s) = s**2 - 3*s - 3. Give 4*a(b) - 3*p(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - l - 4604 = -2*b, 3*b - 2759 = 4*l. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54080 * -0.4.\nAnswer: -21632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177608 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + (-20 - -30) + 12 + -26.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*i - 202, -11*c - i = -6*c + 193. Let p = -38 - c. Suppose p = 14*w - 2*w - 12. Solve 2*q + 9 = w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 1. Let a(g) = -10*g**2 + 8*g + 19 + 1 - 7 + g**3. Let k be a(9). Let f be b(k). Calculate the highest common divisor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y. Suppose m + 2*x = -x + 11, m = 3*x + 11. Suppose -5*q + 30 = -3*f + 12, -3*q + 5*f + 14 = 0. Let r(n) = 11*n + q*n**2 - m*n. Determine d(r(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/67208 and -11\/1188912.\nAnswer: 322195152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000388737 to six decimal places.\nAnswer: 0.000389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*i = 2 + 2, -3*i = 2*u + 3. Let c be 2 + -1 + (-8)\/(-4). Let b = u + c. Solve 4*s - 12 = -2*h, 3*h + 0*h - b*s = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 15. Let n be k(-13). Let v = -89 + 91. Suppose v*d - z + 12230 = 7*d, n*d - z = 4899. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1078257 > -1078257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/15 - -23\/60. Which is the nearest to w? (a) -2 (b) 0.1 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/15*(-1)\/(-1). Suppose 5*y + 2*z = 33, -39*y + 44*y - 9 = 4*z. Let t = 3.99 - -0.01. What is the nearest to y in t, -1, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 7 = 3. What is the lowest common multiple of 2 and -1 + t + 2 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, l: 2, r: 3, o: 6}. What is prob of sequence rhol?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4973\/232 - -676\/29. Calculate the common denominator of d and 57\/763.\nAnswer: 6104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 435293273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x - 1120000. Let w be b(0). What is w rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, m: 5, u: 1, y: 3, g: 3}. Give prob of sequence ggd.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)*-3)\/(sqrt(10) + -6*sqrt(10)*2).\nAnswer: 12*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -0.3, -2\/5, -2\/3, -4 in descending order.\nAnswer: -0.3, -2\/5, -2\/3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14938*c**5 + 13584*c**2 wrt c?\nAnswer: 896280*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*j + 406453 - 406047 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 110 = 5*l, -5*f - 4*l - 334 = -42. Let r = -27 - f. Suppose 4*x = -1 + r. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7745000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -580bbb (base 13) in base 14?\nAnswer: -3c47b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1882754 divided by -37.\nAnswer: 1882754\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25396363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3773936685?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 3:09 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(24) - sqrt(384))\/sqrt(8) + sqrt(3267)*2)*1.\nAnswer: 69*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-6))\/(8\/(-36)). Let m = 0 + 0.1. Sort b, m, -2\/13 in descending order.\nAnswer: b, m, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.8 + 8.697. Let v = q - -124.103. Let f = -124.4 + v. Which is the nearest to -2\/7? (a) f (b) -13 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1910?\nAnswer: 1\/1910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -353 + 353. Let p(v) be the second derivative of 0*v**2 + 1\/12*v**3 + l - 8*v - 1\/24*v**4. Factor p(i).\nAnswer: -i*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 73 = c. Let x = c + -40. Calculate the greatest common factor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n**3 + 3*n**2 + 35*n - 3. What is the units digit of d(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*y + 38 = 0, 2*p + 3*y - 116 = -y. Suppose -p = 7*q - 1770. Is q a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*r + 1 = 0, -k - 31 + 26 = -2*r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25366, 25368, 25372, 25378, 25386, 25396?\n\"Answer: y**2 - y + 25366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.43, -68, 25, 0, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112011112002100221 - -22?\nAnswer: -112011112002100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**5\/20 + w**4\/24 + w**3\/6 - 2*w**2. Calculate the remainder when o(-3) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 105\/4 (c) 6 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 15*x - 20*x = -41, -35 = -5*x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 108*i - 108. Determine b(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - -3.97. Let z = -3.4 - -3.3. What is the second smallest value in z, y, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 1) + 17 + -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51176918 + 31943424. Let x = 19233494.7800357 + f. Let t = -0.78 + x. What is t rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**2*v*v**(1\/8) assuming v is positive.\nAnswer: v**(33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-15) - (-5)\/25. Suppose -7*d - 200 + 46 = b. Let i = d - -34. What is the lowest common multiple of 28 and i?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**5\/60 - z**4\/6 - 4*z**3\/3 + 5*z**2. What is the units digit of q(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2106) - -2*sqrt(2106))\/((sqrt(90)\/sqrt(5))\/sqrt(9)))**2.\nAnswer: 9477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 70 = -5*q, -2*q = -y - 1 - 12. Let s = -52 + y. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**16)\/(u*u**18\/u)*u**(-7)\/u**(12\/7) assuming u is positive.\nAnswer: u**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -342302502 - -2?\nAnswer: -342302500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 6:19 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -707420?\nAnswer: 707421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 43 + 1 + -3 - 100.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.846 in -1\/3, -1\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2512, -2511, -2510, -2509, -2508, -2507?\nAnswer: -2506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 66 = -4*s. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6028913*k**3 - 625355*k wrt k.\nAnswer: -36173478*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-5.1343.\nAnswer: 0.51343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, -3, 0, -43 in decreasing order.\nAnswer: 63, 0, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1286*r + 34 = -1284*r + 5*d, 3*r = -4*d + 23 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 0*d**3 - 13\/6*d**4 - d + 0 - 5*d**2. Find the first derivative of j(u) wrt u.\nAnswer: -52*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 9:27 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 420.5 * 1\nAnswer: 420.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 26674 + 4331. Suppose 2*q - 41713 = f. Suppose q = -2*o + 2357. Round o to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 + 2.18. Let x = -2 + l. Let t = x - 0.3. Which is the second biggest value? (a) -0.3 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7217*k. Let n(j) = -8058*j. Calculate n(c(f)).\nAnswer: 58154586*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 - 11000111100001?\nAnswer: -11000111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 254414 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/12 + 1\/2*-1. Solve 5*l - k - 15 = 0, -l - k + z*k = -3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 65*v - 453. Let r be a(57). Solve -5*i + 2*b + 17 = 0, 114*i - 117*i = r*b - 27 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 37 = -5*r - 13, -5*r = -15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -387 * -8997.\nAnswer: 3481839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 351.55 - 370. Let b = -39 + 20. Let p = t - b. What is p rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810*j = -802*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23185 is divided by 105.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 83757.89 + 4.\nAnswer: 83761.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(11) + sqrt(11))*-4 + -3 - 4*sqrt(396)\/sqrt(4))**2.\nAnswer: 280*sqrt(11) + 4449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 123 + -123. Suppose x = 3*r - 4*d + 4, -5*d + 14 = r - 10. Solve 0 = 3*m + m - r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 5*z + 6. Let t be j(-4). Let s = 1944 + -1942. Find the first derivative of 6*c**s + 3 + 10*c**t - 5 wrt c.\nAnswer: 32*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 856\/3 - 286. Which is the nearest to 0.02? (a) -0.2 (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2 + 2*o + 1. Let k be t(3). Suppose -5*x = 2*v + v + 72, -5*x - k = -2*v. Let d = 18 + x. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 3*j**3 + 23 - 1\/4*j**4 + 10*j - 9\/2*j**2. Let a be h(8). Solve a*i + 11 - 1 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) 0.601 (c) 5 (d) 8 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41830463 to the nearest integer?\nAnswer: 6468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4) - 3\/(-12). Let z = 3 + y. Suppose r = -z*o + 15 + 11, -o + 2*r = 3. What is the highest common factor of o and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 1:20 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 2:30 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t + 20. Is p(-8) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 2*b**2 - b. Let v be g(3). What is the greatest common divisor of v and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 21*t**2 - 11*t - 14. Let u(d) = 21*d**2 - 12*d - 12. Let n(p) = 7*u(p) - 6*y(p). Let s(g) = g. What is -n(l) - 18*s(l)?\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16624 divided by 10965?\nAnswer: -16624\/10965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4 - 44532*t**3 + 167897409*t**2 - 19506311028*t - 19674252972 = 0. What is t?\nAnswer: -1, 121, 7362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 96.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64569000 rounded to the nearest one hundred thousand?\nAnswer: 64600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 558, 0, 12 in decreasing order.\nAnswer: 558, 12, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 1)*(-2)\/(-8). Let h = -22 - -32. Let o be (11\/h + -1)*-6. What is the biggest value in o, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544*k + 491*k + 1325 = 0. Calculate the remainder when 1454 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 41*k + 5. Let f(d) = -215*d - 27. Give -6*f(i) - 33*t(i).\nAnswer: -63*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -4. Suppose -5*g + 10 = 0, 4*t - 2*g - h*g - 6 = 0. Let m = 23 + -17. Which is smaller: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00023092 rounded to five dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 262099.87324 + -0.15\nAnswer: 262099.72324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -170629*t. Let f(o) = -3*o. Calculate c(f(j)).\nAnswer: 511887*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35\/13 + 4668\/1729. Let q = 351454 + -351454.1. Which is bigger: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-420)\/140 + (-3 - (-254)\/6)*(-3)\/(-2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 2\/7, -0.3, 1\/3, -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -155131862, -310263722, -465395582?\n\"Answer: -155131860*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*a**3 - 337*a**3 - 207*a**3.\nAnswer: -451*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -210455 - -4?\nAnswer: -210451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -12. Let v(k) = -2 - 9 - 9 - k + d. Let g be v(-12). Solve -4*h + 5*z + g = 0, 2*z + 5 = 3*h + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2. Let q(x) = 87*x**2 - 7*x. Calculate q(j(v)).\nAnswer: 348*v**4 - 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 418897 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxooppoxppxppxixop. What is prob of picking 1 o and 1 p?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32575\/84 - -2728\/7. Find the common denominator of r and -17\/195.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -808911*c - 1916625?\nAnswer: -808911","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1765.15cm to micrometers.\nAnswer: 17651500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 51. Suppose 4*s = p + 37, -s = -5*s - 2*p + j. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 2*z - 12 = 0, 5*o - 7152 = 5*z - 7222 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 179 + 180 - 359 - 9*a. Let c(i) = -4*i**2. Give c(n(z)).\nAnswer: -324*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 285345244 to the nearest integer?\nAnswer: 16892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 354, -1\/10, 2\/7, -1, 0.79, 5\/7 in decreasing order.\nAnswer: 354, 0.79, 5\/7, 2\/7, -1\/10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 u, and 2 s when four letters picked without replacement from ccssqqcque.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(4*q + 3*q - 3*q) - q + 4*q + 3*q + 60*q + 2492 - 2492 + (4 + 0 - 3)*(-7*q + q + 2*q) - 1 + q + 1.\nAnswer: 71*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -130 - -133. Let v(d) = -20*d - 14. Let w(u) = -7*u - 5. Determine k*v(c) - 8*w(c).\nAnswer: -4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-3\/13)*i))\/i**(3\/7))\/(i**(4\/5)*i**(-1\/2)) assuming i is positive.\nAnswer: i**(-1363\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 202492400 to the nearest one hundred thousand.\nAnswer: 202500000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -37.1 + 32. Let d = 1.25 + -6.25. Let l = i - d. Which is bigger: l or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 809 = -4*z - 785, 0 = -94*z + 4*a + 392 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, 4, -12, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6*(-1 - 3) + 530. Let l = 565 - q. Solve -t - 32 = -l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from cccsccccscccrc?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63184017 or -63184035?\nAnswer: -63184035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 500 and 13800?\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 547*y**5 - y - 191 wrt y?\nAnswer: 10940*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -114 - -116. Suppose -f*v - 10 = 0, -19*l = -21*l - v + 1. Sort 30\/7, -2\/13, l in increasing order.\nAnswer: -2\/13, l, 30\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/3*54\/(-4). Let j be 0 - ((-6)\/(-3) + -5). Let h be j\/v - (-46)\/12. Which is smaller: h or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/76 and 71\/380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m + 9*m + 6*m - 25*m**3.\nAnswer: -25*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46 - 9d?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 83 (b) -0.02 (c) -1\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*(((sqrt(320) + -1)*-6)**2 + (sqrt(10)\/sqrt(2)*-5)**2 + 3))*-2.\nAnswer: -70108 + 3456*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166362.\nAnswer: 2, 3, 7, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1212 and 127563?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3450390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-6) - (-17)\/2. Let l(u) = u**3 + 0*u**2 + 3 + r*u**2 - 4. Is l(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -40. Let z = 0.2 + -0.3. Let y = 0.4 - z. What is the third biggest value in j, y, -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 1. Let w(o) = -1073 + 2150 - 18*o - 1067. Let a be (1 - 1) + (1 - 2). Give a*w(l) - 10*q(l).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 != 45\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*r - 133*r = -52 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-4)*x*x))\/(x*x**(-2\/7)))**27)**(-1\/5) assuming x is positive.\nAnswer: x**(-432\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-106)\/8*-3)\/((-81)\/(-432)). Calculate the greatest common factor of y and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42373 by 6.\nAnswer: -42373\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/3 - 29*u**2\/3 + 100*u\/3.\nAnswer: u*(u - 25)*(u - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2565 and 3762570?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -465*v**2 + 2*v**3 - 3*v**3 + 463*v**2 - 177*v as b*v**3 + f*v**2 + a + o*v and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 21. Let d(i) = -i**3 - i**2 + i - 1. Let a(q) = 7*q**3 + q**2 - 11*q + 10. Let t(w) = a(w) + 6*d(w). Give t(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -539 times -22.5\nAnswer: 12127.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -102, -4\/3, -16\/3, 2\/5, 1\/2, 3?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f - 7*f + f)*(-17 - 7*f - 167*f + 37) to the form q + r*f**2 + w*f and give w.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12293138, -2, -4 in increasing order.\nAnswer: -12293138, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**5 - 8*a**3 - 10*a**5 + 5*a**5 + (a - 2*a**5 - a)*(3 + 2 - 3) - a**5 + 0*a**4 + 0*a**4 + (0*a**3 + 4*a**3 - 2*a**3)*(4*a**2 - a**2 - 5*a**2).\nAnswer: -11*a**5 - 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1741*r**4 - 36 + 1271*r**2 + 2266*r**3 - 796*r - 891*r**4 - 615*r**4 = 0. Calculate r.\nAnswer: -9, -1, -2\/47, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-10) + 3\/(-5). Let g be d*-1 - (7 + -13). Suppose -g*c + 3*v - 6*v = 5712, 0 = -5*v - 20. Round c to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 188*z**3 - 3*z**2 + 3*z - 1. Let d be q(1). What is the highest common factor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2 - 8. Let g(j) be the second derivative of 5*j**3\/6 + 2*j. Let p be g(-1). Put z, p, 5 in decreasing order.\nAnswer: 5, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3*n**2 - 2 + 4*n**2 - 2 + n**2 + 2 + (4 - 4 + 3*n)*(-n - n + n) + 2*n - 2*n - 2*n**2 + 1 + n**2 - 1 to v + d*n + u*n**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**2 - 11*d - 4. Let l be c(-9). Let u be 2\/3 + l\/168. Let r = u - -4\/7. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -55. Suppose 12*k = q*k - 74. Calculate the remainder when k is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**4\/12 + 71*b**3\/2 + 211*b**2 + 8676*b. Suppose d(v) = 0. What is v?\nAnswer: -211, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8*z**3 + 8*z**2 + 50*z + 105. What is b(-2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 32 = -2*c. Let n be 2*(-15)\/(-6) - 3. Suppose 5*r = -3*m + m + 49, -n*r = -4*m + 38. What is the least common multiple of c and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**2 - 166*x + 138. Calculate the least common multiple of 113 and l(-34).\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, c: 3, f: 5, k: 4}. Give prob of picking 2 f.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*g - 3*y - 48, -24 = -3*g - 4*y. Calculate the remainder when 14 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 + (8 - 2) + 2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 2, -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 - 2*u + 2*u + 2*u + (-43*u + 37*u - 38*u)*(-u + 5*u - 2*u) + 12*u**2 - 3*u**2 + 2*u**2 as h*u**2 + l*u + x and give h.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g + 342. Let f be (g\/(-12))\/3 - -4. Which is the second biggest value? (a) 2 (b) -1.6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - 15. Let z be (6 + -2)\/((-3)\/c). Suppose 8*u - z = 6*u. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*a = 3150080 + 5375797. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -69878 (b) 36 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 14*q**2 + q + 1. Let l be g(-1). Let n be (-7)\/(-35) + (-29)\/(-5). Let z = l - n. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-4)*(-24)\/(-60)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*d**2 - 255*d**2 - 238*d**3 + 830*d**2 - 285*d**2.\nAnswer: -238*d**3 + 21*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3\/5, 0.4, -48, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4 - 2. Let y = 21 - 21.2. Is w >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4 (b) 1\/2 (c) -0.5144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a. Let t(i) = 18*i - 16. Let g(m) = -6*m + 5. Let p(j) = -7*g(j) - 2*t(j). Give -p(k) - 4*x(k).\nAnswer: -2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2437+-0.129\nAnswer: 2436.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 2*d**2 + 5. Let g be h(0). Suppose 0 = 4*y - 5*i - 1491, -14 = y + g*i - 393. What is the highest common divisor of 34 and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3 = -q, 3*q - 7*s = -2*s - 23. Let n(k) = -8*k - 13. List the prime factors of n(q).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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 v = -45 - -67. Let d = -31 + v. Let p(h) = -h**3 - 8*h**2 + 4*h - 9. Is p(d) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/(-36)*2*3\/(-2). Which is greater: -5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -12*o**5 + 200*o**4 - 592*o**3 + 248*o**2 + 156*o = 0.\nAnswer: -1\/3, 0, 1, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 31*k = 2970. Which is greater: k or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -4*g + 3*o, -3*o = 5*g + 16 + 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjf when three letters picked without replacement from {j: 10, l: 1, a: 1, f: 1}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 287\/14 + -15 + -9. What is the closest to 8 in -2, -3, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182794.752 rounded to the nearest 1000?\nAnswer: 183000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-4)\/12*3. Suppose -10 = 3*w + 5. Sort w, s, 2 in descending order.\nAnswer: 2, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79030 rounded to the nearest 1000?\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*h*x**4 - 3*h*x**2 - 5*x**5 - 732*x**2 wrt x?\nAnswer: -624*h*x - 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*p + 3*p**2 - 3*p**2 - 237*p**3 + 381 + 1057*p**3 - 11*p with respect to p.\nAnswer: 2460*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -1, -653, -1255?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in -22\/7, 1\/4, -121?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17745 - -3400?\nAnswer: 23345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.445 and 193?\nAnswer: -1050.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 331.40206 rounded to one dp?\nAnswer: 331.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*q**5\/9 - 82*q**4\/9 - 284*q**3\/9 - 386*q**2\/9 - 208*q\/9 - 32\/9 = 0. Calculate q.\nAnswer: -4, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 11}. What is prob of picking 2 l?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 863669584?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91 - -54) + (-3 + -2 - (-13 + -3))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = m + 147, 2*h + 90 = -3*m - 317. Let o = -20 - m. Calculate the greatest common divisor of o and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45.1 + 45.08365. What is g rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 57636?\nAnswer: 57636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1221584.7499989 - 1221585. Let s = 0.25 + m. Round s to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (sqrt(2299) - sqrt(2299)*1))*-6)**2.\nAnswer: 82764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*3447.\nAnswer: -241.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*s - k - 4*k, -5*k = -25. Let f be 16\/s - (4 - 60\/9). Solve -1 = 5*b - d, -f = -b + d - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2417 - 6*t + 831 + 841 + 739.\nAnswer: -6*t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235744 is divided by 50?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**2 + 21*w**2 + 10*w**2 - 12*w**2 to a*w + c + n*w**2 and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 664 = 6*l. Find the common denominator of 113\/12 and l\/8 + 10 + -16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 5.39832.\nAnswer: 1.619496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*i**3 + 180*i**2 - 180*i**2)*(-1 + 4 - 1)*(-4 + 4 + 2).\nAnswer: 292*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x + 4. Let y be k(-4). Let m = -27 + 34. Let c = y + m. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 266, -0.1, -19126\/3, 3\/5, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -40\/33, 2\/25, -3.3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 57065636 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5180b - 2?\nAnswer: -51810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4279, 8400, 12531, 16678, 20847, 25044?\n\"Answer: v**3 - v**2 + 4117*v + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 - t**4 - 3*t**4 + (4*t - 4*t - t)*(t**3 - t**3 - t**3) - t**4 - 5*t**4 + 4*t**4 + (2 - 2 + t)*(-t + t - 2*t**3).\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.064756 and -0.1?\nAnswer: 0.0064756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*r = 43100, 5*z - 33394 = -2*r + 20478. What is the thousands digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 - 5*k**5 + k**2 + 0*k**5 - k**4 + 3*k**5)*(-5 + 2 + 2).\nAnswer: 2*k**5 + k**4 + 2*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -863.9 - -817. Let q = u + 50. Let k = -2.7 + q. Sort k, -5, 4\/7 in ascending order.\nAnswer: -5, k, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 2\/87, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121764, 121684, 121604, 121524, 121444, 121364?\nAnswer: 121284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133111 is divided by 69.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 196*o - 5. Is g(21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5050024\/17 - 296872. Let p = w - 188. Is -1 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6840 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5015 divided by 1?\nAnswer: -5015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -2, -0.09, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -q + a + 1, 6 = q + 2*a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - y + 4*y)*(2*y - 3*y - y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0608 - -366.0608. Let r = 366.2 - w. Which is greater: 43 or r?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4 + 1 - 1 - 16*l as a*l + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/3*117\/104)\/3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -14, -6, 117 in increasing order.\nAnswer: -14, -6, 2, 4, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 + 86. What is the remainder when k is divided by (6 - -2*1) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 5*f - 2. Let g be h(-4). Suppose -2*u = 2*u + 16, -g*u = -5*t + 18. Suppose 2*l = -0*l + 2. Sort t, -1, l in descending order.\nAnswer: t, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 10*c - 1 - 44, -5*n + 29 = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2536*m**2 - 10136*m - 10140*m - 2956*m**3 + 20276*m + 1614*m**2 wrt m?\nAnswer: -17736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64908 and 252?\nAnswer: 454356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55 - 4) + -8 - (-1 + 17).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + (sqrt(22)\/sqrt(2) - sqrt(11)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*-0.6.\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22020, -21965, -21882, -21753, -21560?\nAnswer: -21285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 467.049986 to the nearest integer.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m + 59. Let u(j) = 11*j - 124. Determine 9*p(l) + 4*u(l).\nAnswer: -l + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.039 - 18.539. Let g = v + 18.5274. Round g to 3 dps.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2938*z + 721. Is q(24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*c + 5*g, -5*c - 3*g = -1 + 3. Suppose 0 = 4*w + 2*i - 14, -c*i = -5*w + 26 - 4. Solve w*v - 2*y - 12 = -y, 0 = -3*v - 5*y + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1 = -21. Let t(x) = -11*x - x**2 + 15 + x**2 + x**2. Let c be t(10). Which is smaller: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270400 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 98179 to the power of 1\/2, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 231250891 to the nearest ten thousand.\nAnswer: 231250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30\/53 in -2\/13, 0, -450, 91, 0.5, 2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 61597310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -o + 3*o. Let s = 35 + -18. Calculate the remainder when s is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Let u = -0.1 + k. Suppose 0 = -0*s + 4*s + 4. Which is the closest to u? (a) s (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10196 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + r + 3. Let y be t(0). Suppose -3*z + 20 = -5*j, 2*j = -z - 0*z - 8. Let c(p) = 17*p + 120. Let f be c(-7). Sort j, y, f in increasing order.\nAnswer: j, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 54*y**2 + 84*y + 801. What is the tens digit of v(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*-2*sqrt(6))\/sqrt(2).\nAnswer: -5 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5130 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: Collect the terms in -50*o**2 + 28*o**2 - 10 + 23*o**2.\nAnswer: o**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmmmqmm. Give prob of sequence qmm.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5410.\nAnswer: 2, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a microgram in nanograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -63750 smaller than -63758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 325 - 325.00868. What is z rounded to 4 dps?\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3*(-6)\/(-2124)). Calculate the greatest common factor of q and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2876 = 7880. What are the prime factors of c?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 2*q**2 + 72*q + 5. What is the hundreds digit of n(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 13476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 52926 * -10\nAnswer: -529260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/4*(1 - -2). Let f = -721 + 720.78. Which is the closest to -2? (a) f (b) -0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*d + 33*d + 5, -2*a + 33411 = -d. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 5*j + 6. Let r be 8\/20 + 22\/(-5). Let x be a(r). Let m(b) = -b**2 - b + 0*b**2 + 2*b**x. What is m(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 2:28 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b - 1604 = 3506. Let a = b - -70. What is the greatest common divisor of a and 288?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 68*d**2 - 4*d - 2*d**5 - d**4 - 69*d**2 + 3*d + (-2*d**4 - 3*d**4 + 4*d**4)*(4*d - d - d) - d**5 + 2*d**2 - 2*d**2 + d**5 + d**5 - 3*d**5.\nAnswer: -6*d**5 - d**4 - d**2 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1666+3\nAnswer: 1669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxxxkkxk?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 9*d**2 + 9*d + 2. Suppose 12*o = -269 + 149. What is i(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -899*m + 4502. Let t be r(5). Let k(l) = 31*l**3 - 3*l - 6. Let w(o) = -21*o**3 + 2*o + 4. Give t*w(u) + 5*k(u).\nAnswer: 8*u**3 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 180\/(-9)*50\/(-40). Solve d = -5*z + 2*f, 4*z - 9 + 29 = 2*f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25662 - -25662. Solve 36*q + 68 - 32 = b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13066030 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: Solve 0 = 2*w - 3*r - 6, -186*r = -31*w - 187*r - 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -329108479*p**2*r**5 - 2*p**2*r + 70*p**2 + 34*p*r - 61*p + 4*r wrt r.\nAnswer: -6582169580*p**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*((u**(-5)\/u)\/u)\/u)\/u*u)\/u)\/u)\/(u\/(u**16\/u))*u*u**(-5)*u\/u**(18\/7)*u assuming u is positive.\nAnswer: u**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayy when three letters picked without replacement from {y: 4, a: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 61*u + 13 - 5 as l + r*u and give r.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*g + 133*g + 291 = -579 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= 345\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + a + 8. Suppose -w = -2*x - 11, 3*w - a*w + 14 = -3*x. Suppose w*q + 0*q + 2*s - 79 = 0, s = -2*q + 31. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.095 + -1195271903?\nAnswer: -1195271902.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -9?\nAnswer: f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - p**2 + p. Let d be o(2). Suppose 6 = -4*a + d*a. Let v = -13 - -26. Solve -4*i = 4*q + 24, -2*i + a*q + v + 0 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1318.2 (b) 3 (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3211979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five quarters of a day?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 7*x**2 - 5*x - 7. Suppose 0 = -2*c + 4 + 12. Let g be w(c). What is the highest common divisor of 153 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 65*g**4 + 3*g**3 + 2*g**2 + 5*g - 5*g + 3 - 66*g**4 to r*g**4 + v*g**3 + t*g**2 + z + x*g and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, g: 2}. Give prob of sequence gaag.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (2 + -10)) + -17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -984*v = -808*v + 4224 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 62*x + 641. Let y be t(9). Solve -y*a = 4*m - 2*m + 10, a + 7 = -3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 - 37*y - 98. Calculate x(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30650 and 564.85.\nAnswer: 31214.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(208) + sqrt(52))**2*-5.\nAnswer: -2420 - 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 239*i + 5. Let m be f(0). Let k = 5\/6 + -1\/2. What is the fourth biggest value in 1\/4, 2, m, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-188)\/235)\/(2\/(-30)). What is the greatest common factor of y and 184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3 + 0*k**3 - 7*k**3 + 7*k**2 + k**3 wrt k?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6682*o**3 - 6693*o**3 - 6697*o**3 + 26735*o**3 - 6685*o**3.\nAnswer: -22*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(171) + sqrt(171))*1)\/(3*(sqrt(9) + sqrt(36)\/sqrt(4))) + -1*((sqrt(95)\/sqrt(5)*1)**2 + -1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -612*v + 4691. Give k(9).\nAnswer: -817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 347, 686, 1025?\n\"Answer: 339*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -413 + 464. Let j(u) = -u**3 + 10*u**2 - 7*u + 9. Calculate the remainder when l is divided by j(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 39124100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 33. Suppose 2*o = n*w + 152, -3*w - 123 = -5*o + 257. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 4*b, 0 = -0*v - v + b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggi when three letters picked without replacement from rriigiiviirri?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5072*l**2 + 2*l. Let i(w) = -w. What is h(i(m))?\nAnswer: -5072*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 - 3)*(1259 - 713 - 20773*r**4 - 546).\nAnswer: 41546*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 + 8*d - 366. Let i(y) = y - 2. Let w(b) = 4*i(b) + u(b). Solve w(t) = 0 for t.\nAnswer: -17, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1398966 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-5) - (-190)\/(-35). Suppose 1 - 7 = 2*t. Which is the biggest value? (a) o (b) -1\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((0 + 2 + (sqrt(76) + -1 - sqrt(76)) + sqrt(76) - -4*(sqrt(76) + -1*1*sqrt(76))) + -1).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16629732 divided by 63?\nAnswer: -263964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2035501015 less than -2035501015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31878570 to the power of 1\/2, to the nearest integer?\nAnswer: 5646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36400049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14123013042 + -5?\nAnswer: 14123013033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*c*o**2 + 54*c - 4*o**2 + o + 5 wrt o?\nAnswer: 34*c - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 33067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 3945.\nAnswer: 7890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**4\/27 + 16*i**3\/27 - 2*i**2 - 12*i. Let f(o) = 0. What is o?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 310445 and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.6 + -2.8. Let p = 5.1 - 5. Let l = 39 + -198\/5. Which is the nearest to 1\/4? (a) p (b) q (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 9:08 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 32 = 10. Let i be (-18)\/14 + 6\/o. Calculate the remainder when (-20 - i)*(1 + -2) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345077897 divided by -4?\nAnswer: 345077897\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1639361 or 1639275?\nAnswer: 1639361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 555383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 387 (base 14) to base 15\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 26. Calculate the remainder when (-1 + 2)*d\/1 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + u - 351. Let r be -7 - -4 - (0 + -183). Let d = u + r. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 90 = 82 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 655*d - 1359 - 1510 = 12196 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 74 = -15*u. Let w(x) be the first derivative of 1\/3*x**3 + 1\/2*x**2 - 10 + 1\/16*x**u + 0*x. Factor w(y).\nAnswer: y*(y + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-1 - 2)\/24). Let v be 3 - 7\/((-42)\/r). Let 0*z + 0*z**2 - z**4 + v*z**3 + 0 - 4\/3*z**5 = 0. Calculate z.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, o: 6, h: 7, k: 1}. What is prob of picking 1 o and 1 h?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 4345*j - 927989. Determine u(204).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 84*k - 3. Let v be t(2). Let j = 22 - 227. Let f = -139 - j. What is the greatest common divisor of f and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1729b5 + 9?\nAnswer: 1729c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 11 - 5. Let x = 70 - 38. Calculate the greatest common divisor of x and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*(sqrt(5103) - -2*sqrt(5103)) + sqrt(5103) + -3 - (sqrt(5103) - (2 + sqrt(5103) + (sqrt(5103) + -1 - sqrt(5103))))**2*5).\nAnswer: -216*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3900625*t**2\/2 + 47400*t - 288.\nAnswer: -(1975*t - 24)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -518 - -868. What are the prime factors of s?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (50 - 50 + 7*s)*(-4*s + 3*s + 3*s) - 4*s**2 + 4*s**2 - s**2 + (-2 - 2 + 2)*(-s**2 + s**2 + s**2) in the form x*s**2 + p*s + m and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u**3 + 0*u**3 - 2*u**4)*(2 + 1 - 2) + (11*u**2 - 2*u**2 - 2*u**2)*(12*u**2 - 1 + 1) to the form w*u**3 + n*u**4 + t + p*u**2 + d*u and give n.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -17539 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22002 (base 3) to base 10\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/55 + (-8)\/(-30))*(17 + -8)*15?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -4. What is the second derivative of 4*n + 4*n**w + n - n**4 wrt n?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) -1\/3 (c) -1\/10 (d) -135\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*y - 31, 0*y - 12 = -2*f + y. Let x = 6 - f. What is the remainder when 19 is divided by 3 + (7 - 1\/x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 224, 529, 954, 1493, 2140, 2889, 3734?\nAnswer: 4669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 13. Let q be f(9). Suppose 754 = q*n + 3*o, -n + 181 = -0*n - 3*o. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**6\/40 + 3*s**5\/20 - 198*s**4 + 11374*s**3 - 395*s**2 - 4*s. Suppose i(l) = 0. What is l?\nAnswer: -47, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 0, -3, -2679, -10 in descending order.\nAnswer: 0, -3, -10, -23, -2679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -958 + 960. Solve -d*h = 5*y + 8, -2*y + 4*h - 1 + 17 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = m - 98, -318*m + 321*m + 3*h - 294 = 0. What is the remainder when 994 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78700 divided by -20?\nAnswer: 3935","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u. Let p(h) = 8*h**2 + 3. Calculate p(m(s)).\nAnswer: 288*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t - 76*t**4 - 5*t**2 + 1558*t**3 + 402*t**4 - 1559*t**3 in the form f*t + x*t**4 + r*t**2 + n*t**3 + b and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 331, 653, 975, 1297, 1619, 1941?\nAnswer: 2263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 153 + -154. What is the second biggest value in t, -5, 7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 - 62 = 5*g - 2*b, -g - 2*b = 52. Let z(f) = -4*f - 181. Give z(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1235, 2553, 3843, 5099, 6315, 7485, 8603?\nAnswer: 9663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/2)\/(330\/(-66))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 620, 1224, 1838, 2468, 3120, 3800?\n\"Answer: n**3 - n**2 + 600*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1946 and 27\/2?\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 + 1042*p + 13166. Calculate h(-13).\nAnswer: -887","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 318\/(-583) - 128\/(-154)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1022, -1, -324 in increasing order.\nAnswer: -1022, -324, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**3 - f**2 + f + 2. Let j be p(-1). Suppose -140 = -j*z - z. Suppose -i - z - 230 = -3*b, -2*b + 186 = 4*i. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*u + 52, 4*u = 5*d - 33 + 80. Let t(c) = -14*c - 340. Let m be t(-24). Which is greater: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -2 + 2 - -31. Suppose 5*c - i = -1. Let h(r) = -r + 7. Let j(b) = b - 6. Let l(a) = c*h(a) + 7*j(a). Let k(d) = 6*d**2. Calculate k(l(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*-1*((sqrt(1216) + 2)**2 + 3 - sqrt(1216)) + 1.\nAnswer: 24*sqrt(19) + 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-134)\/(-80) + 8\/40. Is 0 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = 0, -69*p + 3*i = -72*p + 9. Solve 5*o - p*o - x = -8, 5*o = -4*x - 36 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 5:49 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + 6 - (-1 + -1). Suppose o = -0*y + y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a40 (base 16) in base 8?\nAnswer: 15100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23012.\nAnswer: 2, 11, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qiquuuuq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 11*t**2. Let j be s(1). Let c = j + -11. Is c greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -172 - -1723\/10. What is the common denominator of p and -1 + (-6)\/(-2) - -9*(-130)\/(-312)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Let g = 2 - -1. Let f = -9096 + 9093. Sort g, f, j in increasing order.\nAnswer: f, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 10\/45 - (-4)\/18. Suppose l*i + 6 = 3*i. Solve -i*f - 2 = -t - 3*f, 3*f = -t + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3 - -7*88\/99.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3\/v)**(-1\/33)\/(v*v**(1\/4))**(-20))**(-2) assuming v is positive.\nAnswer: v**(-1646\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3 - 1 = 5*o, 0 = -5*q + 3*o - 42. Let k(a) be the third derivative of a**5\/30 + a**4\/6 + a**3\/6 + 4*a**2. Is k(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*(sqrt(91) - (sqrt(91) + 1*sqrt(91))*1 - sqrt(91))*2)\/(-1*sqrt(252) + (sqrt(7) + (sqrt(7) - (sqrt(700) + sqrt(700)*1)) - sqrt(7))))**2.\nAnswer: -4992\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/93 and 5\/33.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**3 + 49*n**2 - 15*n - 27. Give k(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(272) + sqrt(17) - (sqrt(68)*-1 - sqrt(68))\/sqrt(4) - (4*-1*sqrt(187) - sqrt(187))\/sqrt(11))**2.\nAnswer: 48*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 274\/(-69))*3.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 - ((-651)\/(-5))\/(-7). Let p(b) = -5*b + 100. Let o be p(c). Which is smaller: 73 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 0)*(-5*b + 4 - 4 + (3*b - 4*b + 2*b)*(40 + 70 - 171)) - b + 0*b + 3*b in the form m*b + r and give m.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50100.48 centimeters to micrometers.\nAnswer: 501004800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674991620.\nAnswer: 2, 5, 33749581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63.2 + 51. Let m = 9.5 - -2.5. Let i = m + g. Do i and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(2736) + 0 - 6*(sqrt(19) + -1 + sqrt(19))) + (-1*sqrt(2736))**2*-2).\nAnswer: 21864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178572 + 3.\nAnswer: 178575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/10)\/((-3)\/15). Suppose 0 = -w*c + 3*m - 6, 0 = 3*c + 3*m - 0*m - 24. Let v(k) = 3*k**2 - k + 1. Is v(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -1\/2, 1503, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-81.6.\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 279735 and 5485.\nAnswer: 279735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202203031 - 11?\nAnswer: 202203020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2068753943 to the power of 1\/2, to the nearest integer?\nAnswer: 45484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.94 + -0.06. Let x = -11.4 - p. What is the second biggest value in x, 3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c + 78 + 30 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1044183491?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.123375885 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 66*v + 10 = 4*h - 70*v, -5*v - 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2337 - 2143. Solve 3*f + l = 179 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.158362961 at least 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 25, -54 in increasing order.\nAnswer: -54, 1, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**3 + 2*x**2. Let w be r(2). Let o(f) = f**2 - 4*f - 3. Let z be o(5). Solve 4*b = -0*u - 4*u + w, -z*u = 3*b - 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.98405 - 58.92495. Let k = -163 - -103. Let q = l - k. What is q rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31405, -62243, -93069, -123877, -154661, -185415?\nAnswer: -216133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6445 = -257. Is o 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 {f: 4, y: 8, j: 8}. What is prob of picking 1 f and 2 j?\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 4*v + 2*v - 86, -5*v - 5 = 0. Suppose 4*g - 2 = 22. Calculate the remainder when t is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*x + 155*x - 18*t = -149*x + 418, 5*x + t + 13 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttyttttyyttyttyt. What is prob of sequence yt?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80 - 14*u - 80 - u**2)*(-2 + 2 - u).\nAnswer: u**3 + 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express r + r - 3*r - 2 - 7*r - 2*r + 3*r + (5*r - 3*r - r)*(1 - 1 + 1) as t + z*r and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 18 = -59. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 2*a**3 - a**2\/2 + 3. Let f be c(-4). Suppose -f = -l - 4*l. Calculate the greatest common factor of 8 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 10:43 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*t + 6 = 71*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 8*d - 2*d.\nAnswer: 6*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 9631*k + 19259*k - 9634*k.\nAnswer: -6*k + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9865893 to the nearest integer?\nAnswer: 3141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 z when three letters picked without replacement from {l: 1, c: 4, a: 1, i: 1, z: 8}?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5914\/17 + ((-14)\/119)\/(-1). Suppose -y = -u - 3*u. Solve 4*a - u = -71 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -3 + 4 + 191. Suppose 10*k - l = -6*k. Let m = -82 + 139. Calculate the remainder when m is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*z - 33 = 0, -28 - 24 = -2*i + z. Suppose 3*j - 4*j - 4*d - 1 = 0, 3*j - 3*d - 42 = 0. Calculate the remainder when i is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 0.0562.\nAnswer: -0.1438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103611 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483*t + 89*t - 256*t + 413*t + 37908 = 0 for t.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5664435l to millilitres.\nAnswer: 566.4435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**3*t**2 - 59*n**3*t - 82*n**2*t**2 + n**2 - 2*t wrt t?\nAnswer: -4*n**3 - 164*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16407808?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*(0 + 1)*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 40\/(-15)*36\/16. Let z be 2\/(2\/l*-3). Suppose -5*j + 2*d = -z*j - 3113, 5*j - 5189 = 3*d. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 94 + 34. Let y = -9 + o. Solve y*f - 5*j = f - 15, -2*j - 1 = 5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 17 = -4*w - 58, -j = 2*w + 23. Which is smaller: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28199\/16 + -1761. Find the common denominator of (-79)\/(-20) + 4\/(-10) and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98580 and 1488.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -22*d**2. Let f(l) = 3*l. Give f(r(q)).\nAnswer: -66*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h + 9. Suppose -3*z + 15 = h*j, 4*j = -2*z + 13 + 17. Let p = j - 4. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27113.3 rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69998688 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223 = -6*k + 155. Is 30 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26821, 53642, 80463?\n\"Answer: 26821*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 24*f**2 + 64*f - 418. Determine b(26).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 225, 901, 2039, 3645, 5725, 8285, 11331?\n\"Answer: q**3 + 225*q**2 - 6*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23\/658432 + 334233991\/73085952. Let j = w + -22\/111. Find the common denominator of 93\/8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12657, 25510, 38363, 51216, 64069?\n\"Answer: 12853*v - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 4*b + 2*b + 2*b. Let x(t) be the first derivative of -8*t**3\/3 - 6*t - 330. Give p(x(s)).\nAnswer: 8*s**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.22? (a) -2 (b) -5 (c) 5 (d) -2332\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 193*-0.5\nAnswer: -96.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4*r + 5*k - 378, -5*r + k + 891 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 113 and 4181.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 6 = 6*d. Suppose 4*p = 5*a - 225, -5*a + d*p + 0*p + 230 = 0. Let l = a + -23. Calculate the remainder when l is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148 divided by 2\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3381*t + 125091. What is c(-37)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1394311 (base 12) to base 14.\nAnswer: 742cd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1793925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3399, 5, -2 in increasing order.\nAnswer: -2, 5, 3399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 4202411102?\nAnswer: 4202411110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 899864*v + 786741 wrt v.\nAnswer: 899864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 - -0.71. Let c = 15.11 - n. Let a = c - 14.9987. What is a rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 130223 (base 6) to base 4\nAnswer: 2313213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**5\/10 + 2*x**2 + 13. Let n(g) = 5*g**2. Give -4*n(i) - 3*v(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.120427791 rounded to three decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 295482?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 7*v**5\/60 - v**4\/6 - 7*v**3\/6 + 6*v**2. Let r be c(-3). Suppose -176 + r = -4*h. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*r - 73*r + 432 = 147*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 + -195. Let r = -39 - s. Let g = r + -68. Solve -2*z + z + g = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -889*q**3 + 2*q**2 - 3*q + 6638 wrt q?\nAnswer: -2667*q**2 + 4*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4932850.\nAnswer: 2, 5, 13, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 15*b - 1522. What is the remainder when b is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*m*v**4 - m*v**3 + 25*m*v - v**3 + 5*v**2 wrt v?\nAnswer: -864*m*v - 6*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/5 + 16260144*o - 81300718\/5 = 0. What is o?\nAnswer: 1, 40650359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 15) in base 5?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2087.7 - -2088.9349. Let y = p + 0.3061. Round y to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiimiiimiiiimmimii. What is prob of sequence imim?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 266725 a multiple of 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 - (29 - 14 - 0)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8451, -8462, -8473?\nAnswer: -8484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1661\/136 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z + 5*z + 1 + 4*z - 5*z. Let a(b) = -8*b - 10. What is -a(c) - 10*d(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*p + 25. Is (114 - (0 - -3)) + (-1)\/p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 56 = 4*g - g, -2*g = r - 35. Solve 3*s = -k + g, s = -3*k - 2*k + 29 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43403 divided by 3\nAnswer: 43403\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4 + 41404*h**3 + 41418*h**2 - 248436*h = 0. What is h?\nAnswer: -3, 0, 2, 20703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + -31 + -38 + 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -19*f - 28. Let y be ((-298)\/12)\/(f\/12). Let c = y - 140. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 551230 and 4432.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 2*j**2 - j. Let x be w(-2). Suppose 5*v - x*t - 75 = 0, 2*v - 51 = 2*t + 3*t. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(6 + (-120)\/18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -413 + 435. What is the smallest common multiple of 92 and r?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 4*d - 3. Let o be b(2). Let m be ((-918)\/2)\/o*1. Suppose -4*l - 3*p = -0*l - 155, -4*l = p - m. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -7*x + 1. Suppose -2*f + x*m + 0*m + 632 = 0, 2*f - m - 623 = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 22*t**3 + 2*t + 2. Let y(q) = 30274 + 5*q + 11*q**3 - 30273 - 4*q. What is 2*m(b) - 5*y(b)?\nAnswer: -11*b**3 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2 - 0. Let m be (-3 - 0) + (1 - 0). Let u be 0 + 7 + -2 + m. Put -4, j, u in decreasing order.\nAnswer: u, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/45*10\/(-4). Suppose 4 = 4*g, 3*g - 1 = -5*h + o. Find the second derivative of -2*w**4 + 0*w**4 + w + h*w + w**4 wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 125*f**2 + 4*f - 297. Give j(125).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 33.34, -0.4, 2\/23?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/(-4) - 4\/(-8). Let x be (-2)\/(-5)*15\/a. Solve 0 = -3*u + x - 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-22 - -17) + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5921 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/23341 and -38\/6865.\nAnswer: 116705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 540 (b) 3\/2 (c) -9 (d) 0.5 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/9)\/(10\/(-75))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.2649 and 5.\nAnswer: 11.3245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 199088679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1582, -6303, -14164, -25159, -39282?\n\"Answer: i**3 - 1576*i**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -361.93 - -362. Which is the third biggest value? (a) 5 (b) r (c) -1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -9. Let q = c - 8. Let r be 62\/(-31) - (50\/(-18) + 1). Sort r, -0.04, q in descending order.\nAnswer: -0.04, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19607424 to the power of 1\/2, to the nearest integer?\nAnswer: 4428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1243.708 millennia to centuries.\nAnswer: 12437.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119.6072 centuries to years.\nAnswer: 11960.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 - 36*w**2 + 19*w - 342. Determine t(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 3*n**2 - 5*n - 4. Suppose 4*u + l - 42 = 0, l + 24 = -u + 3*u. What is the remainder when k(5) is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31039 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -10*r - 198. Let i be l(-27). Suppose 3*a - 497 = -2*a - 4*d, 0 = -3*a - 3*d + 297. Let m = a - i. What is the highest common factor of m and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 88, 132, 176?\n\"Answer: 44*z + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105099 is divided by 6217.\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341880812 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5601*w + 4488.\nAnswer: 5601","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.107573142 rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 7*h - 1. Let f be g(-1). Let l(a) = a**2 + 8*a + 3. Calculate l(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470783539 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*h - 736*h - 7538 = 92*h - 34448 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*c = -4, 4*c + 5 + 5 = -d. Solve -4*n = y - d - 8, -5*n + 17 = -y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-270)\/24)*15\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102722 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 96*v**2 - 32*v**2 - 36*v**2.\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 467*c**5*k + 30*c**5 - 21*c*k + 2*c + 2*k - 1 wrt c.\nAnswer: 9340*c**3*k + 600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -744*v**5 - 379*v**2 + 22*v**2 - 274*v**2 wrt v.\nAnswer: -44640*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*p + p**2 + 8*p**3 + 4*p**3 + 8*p + 2*p - 10*p in the form s*p + n*p**3 + t + h*p**2 and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 6:17 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*z**3 + 1 + (-2*z**3 - z + z)*(4 - 3 + 0) + 179*z**3 - 350*z**3 + 61*z**3 + (0 - 2 + 1)*(-3*z**3 + 4*z**3 + z**3).\nAnswer: -116*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-140)\/(-15) - (-1)\/(-3). Solve w - 17 = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3973337 and 0.2.\nAnswer: 794667.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 (base 8) in base 13?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-14))\/(4 - (-45)\/(-12)). What is the closest to 2 in 3, -1, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32816 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 5 + 5 - 116*m + (m + 1 - 1)*(3 - 5 + 4).\nAnswer: -114*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(2\/7))\/k*k*(k\/(k*k**(-2)\/k)*k)\/k)**(-1\/2))**(30\/11))**(-39) assuming k is positive.\nAnswer: k**(15210\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n + 3. Let b(k) = 1. Calculate 3*b(c) - v(c).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**6\/80 - 19*z**5\/40 + 11*z**4 - 39*z**3 - 1421*z**2. Solve w(d) = 0 for d.\nAnswer: -26, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -2\/45*p**5 + 0*p**4 + 0 + 0*p + 0*p**3 - 5\/112*p**8 + 1\/15*p**7 + 1\/90*p**6 - p**2. Let i(w) = 0. Calculate w.\nAnswer: -2\/5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -85*i**2*k + 2*i**2 - 2*i*k**2 - 73*i - 9998*k**2 - 2*k + 2900 wrt k?\nAnswer: -85*i**2 - 4*i*k - 19996*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*(sqrt(637) + 1))**2 + -3 + ((sqrt(468) + sqrt(468) + (sqrt(468) - (sqrt(468) + 1))**2)*3 - sqrt(468)) + -2.\nAnswer: 534*sqrt(13) + 22970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 10*y**3 - 5*y**2 + 6*y - 3. Calculate the remainder when d(2) is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0429? (a) 1 (b) -1\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 142599200 to the nearest one million.\nAnswer: 143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -30522*j + 1281921. Give b(42).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 times -7.2?\nAnswer: -11.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 8. Suppose -m + 2*n = 4*m - 19, -3*m - 5*n + 30 = 0. Let h(w) = 3*w + 2. Let c(v) = 4*v + 2. Determine d*c(k) + m*h(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1997*t**3*u + 9*t**3*y - 42*t**2*y - u - 37*y wrt t?\nAnswer: -11982*u + 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091138 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2118*t - 139*t + 1 - 1908*t.\nAnswer: -4165*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.25 - -4.25. Which is the third biggest value? (a) g (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2271 + 17121*k + 2271.\nAnswer: 17121*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2517 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 35249, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -17*s**2 - 19*s - 23. What is w(-2)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4903 - -4919. What is the smallest common multiple of 192 and g?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12272622841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -368, 5, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7280 divided by -4\nAnswer: -1820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 208\/(-39)*(-2001)\/232\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.15 - 20.15. Let q = 24 + o. What is the third biggest value in q, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w. Suppose 0 = -9*j + 11*j - 2. Let s be n(j). Let i = -1\/20 - 9\/20. Which is the third smallest value? (a) s (b) 3\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -21. Suppose k*r - 45 = -r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 33\/4 + 3\/(-12). Let u = 0 + d. Let y = -28436 - -28440. What is the highest common factor of y and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2562 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = q + 2*k, -35*k = -34*k - 1. Let f be (0 + 1)*q + (-1778)\/(-127). Let y(w) = 2*w - 4. Give y(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4003 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231848 a multiple of 1017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 1 - 21. Let i be (-9)\/(-3) + c\/4. Suppose 5*j + i*r - 378 = -0*j, 0 = -4*j - 3*r + 302. Round j to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/80)\/((-4)\/(-5))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -29, 0.075 in ascending order.\nAnswer: -29, 0.075, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*v + 7, r - 5*r = -2*v. Let w(l) = -4*l**3 - 5*l**2 - 2*l + 1. Let f(k) = k**3 + k**2. Give r*w(q) + 5*f(q).\nAnswer: q**3 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f. Let m(p) be the second derivative of 133*p**4\/12 - p - 14. Give d(m(w)).\nAnswer: 532*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(98) + 4).\nAnswer: 16 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2. Let x(k) = 51739184*k. Give v(x(a)).\nAnswer: -5353886321971712*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148680146.\nAnswer: 2, 74340073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 2, 0, 1.4.\nAnswer: 0, 1, 1.4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, 5, 78, 197, 362?\nAnswer: 573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 12:13 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 8:05 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 12:34 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c + 34. Give g(0).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5)*20820\/222774.\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*r - 2*n, -3 = 5*r - 3*n - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12200201 (base 3) to base 5\nAnswer: -113100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1246?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 297694.999968 - 297684. Let p = 22 + -11. Let a = y - p. What is a rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38988, -64480, -106966, -166446?\n\"Answer: -8497*y**2 - y - 30490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(0 + 2)*3. Let m be (x - (-2 + -154)) + 0. Suppose -5*k + m = -2*k. Calculate the remainder when k is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.85 + -0.15. Let t = x - -13.24. Let b = -0.7 - t. Round b to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4161990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 5, 200, 24.\nAnswer: -5, -4, 5, 24, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5 + 73. Let r(a) = a**3 + 16*a**2 - 20*a + 5. What are the prime factors of r(y)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -20 + (2 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9984 and 936?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 1. Let p be j(0). Let l be (6\/(-9)*-3)\/p. Let y = l + 7. Let a(w) = -w**2 + 4*w + 1. Give a(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 5*g - g. Let z = g - -34. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23534 (base 6) in base 7?\nAnswer: 13015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1314*u + 1315*u - 3 - 15 = 0 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.6 + -5. Let u = -0.5 - k. Let o = u + 19.8. What is o rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17603\/8312941 + -3\/7027. What is the common denominator of 58\/507 and d?\nAnswer: 3549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 7:32 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -22402?\nAnswer: 22365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*y = 243, -3*t + 0*y + 181 = -5*y. Suppose 20 = -3*z + 3*x + t, 8 = 2*z + 3*x. Calculate the highest common divisor of 70 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-33)\/11 + -10 + 13. Solve 4*t + 2 - 10 = f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -889 divided by -1\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/3 + 500044*x\/3.\nAnswer: -4*x*(x - 125011)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.121 and -180650853?\nAnswer: 180650852.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-63 - 37206\/(-594))\/(1\/(22\/(-36))). Determine f, given that -o*f**5 + 0 - 4\/9*f + 14\/9*f**2 - 2*f**3 + 10\/9*f**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*l*q**4 + 18*l*q**3 + 6666*l*q**2 - 2*l*q - 3*q**4 + q**3 wrt q?\nAnswer: -120*l*q + 108*l - 72*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 6*o - 8. Let x be w(-6). Let g = -6 - x. Solve g*p - p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**2 - 13*x - 56. List the prime factors of g(-6).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*q**3*r - q**3 + 3*q**2*r - 79*q**2 wrt q.\nAnswer: -108*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -6 (b) 3\/8 (c) -2\/15 (d) 3 (e) 25.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 887.4 in 5, 3\/4, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 - -47. What is the nearest to c in 2\/9, 40, -3\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f + 11. Let r(k) be the third derivative of k**4\/6 - 2*k**3 + k**2. Let j(p) = 2*r(p) + 3*u(p). Is j(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -720439 and -0.24.\nAnswer: 172905.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6293*b**2 + 67*b + 189 - 68*b + 6292*b**2 - 2*b**2 + 0*b**2 + 5*b**2 + (2*b + 3 - 3)*(b - 1 + 1) as o + l*b**2 + i*b and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5245036011.9999787 + -5245036522. Let b = u + 510. Round b to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8967 divided by 43\nAnswer: -8967\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*a*o**3*y + 25*a*o*y - 2*a*y - o**4*y + 4*o**4 + 4*o*y - y wrt o.\nAnswer: 54*a*o*y - 12*o**2*y + 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 7*w**2 - 9*w + 7. Let p be r(-8). Does 9 divide (-1)\/((-5)\/9)*p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 - (-95)\/(-30). Let t = -0.2 - -0.1. Which is the biggest value? (a) y (b) -0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35572 is divided by 3557.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + y. Let m(j) = -17*j**2 - 8. Let f(a) = 4*l(a) - m(a). Let n be f(3). Calculate the greatest common divisor of n and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 36 = 11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, 0.5, -2\/5.\nAnswer: -2\/5, -0.15, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -21*y + 10. Let i(j) = -66*j + 37. Calculate -4*i(x) + 18*v(x).\nAnswer: -114*x + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xquqjzuzqzq. What is prob of picking 1 u and 1 j?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 139 = -24*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -734\/1001 + 75\/91. Let i(t) be the first derivative of -6\/11*t + 2\/11*t**2 - u*t**4 + 20 + 2\/11*t**3. Suppose i(n) = 0. Calculate n.\nAnswer: -1, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (11 - (7 - -14))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316*v**3 - 4389296 + 4389296.\nAnswer: 316*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -90620093 and 0.3.\nAnswer: -27186027.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-6) - -1)*21. Let y be (-18)\/21*84\/(-18). What is the highest common divisor of v and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8496 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 3*y. Let k be ((-2)\/(-2)*-4)\/(-1). List the prime factors of i(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*f + 31*n + 35 = 33*n - 11, 0 = 2*f - 2*n + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 4\/39*l**3 - 1\/39*l**6 + 0*l + 0*l**4 + 1\/13*l**2 - 4\/65*l**5 + 18. Factor x(h).\nAnswer: -2*h*(h - 1)*(h + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*g - 16 = 0, 5*m - 8 = m + 2*g. Suppose 0 = 4*c - k - 332, 5*k = -m*k - 20. List the prime factors of c.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2889914125?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 7*g**2 - 8*g - 5. Let u be c(5). Suppose 3*w = -u*m + 84, -5*m = -3*w + 50 + 64. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (48 - 36) + 425\/(-36) and 125\/132.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2780*f**2 + 2*f**3 + 1398*f**2 + 1413*f**2.\nAnswer: 2*f**3 + 31*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 187\/55 + (-2)\/5. Suppose u*q - 105 = -12. What are the prime factors of q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-4410)\/28)\/(-35))\/(3\/4). Let l(x) = -x**3 + 5*x**2 + 5*x + 12. Give l(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 555.1974 decades to centuries.\nAnswer: 55.51974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a milligram in micrograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 689085?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1479 + 121 = 0. What is n rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 289*s - 299*s - 2*u, -s + u + 2 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33031313 (base 4) in base 14?\nAnswer: -189dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166984698 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -27*j + 2*j + 14*j. Let k be i(-7). Suppose -211 = -8*y + k. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*u + 42*u - 20*u - 3276 = -83*u for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 964.4086 weeks in hours?\nAnswer: 162020.6448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q**2 - 289 + 576 - 284 - 46*q)*(-3*q**2 + 4*q**2 + 0*q**2) as w*q**2 + x*q + h*q**4 + o*q**3 + z and give o.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00224 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i + 3*i - 9*i)*(-568*i**2 + 1964*i**2 - 925*i**2).\nAnswer: -471*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005929547312 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 8, 31, 70, 131, 220, 343, 506?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 - 22*s - 2. Let t(g) = g**3 - 11*g**2 + 82*g + 8. Determine -9*q(o) - 2*t(o).\nAnswer: -2*o**3 - 5*o**2 + 34*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 348677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 896057.4 to the nearest 1000.\nAnswer: 896000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.019 - 5.581. Let d = -5.643 - i. Round d to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-24)*(26\/312)\/((-4)\/64).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 >= -80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 986, 2059, 3132?\nAnswer: 4205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1711.7 less than -2624091?\nAnswer: -2622379.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -6 - (21 + -21)) + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 102 = -6*i. Find the common denominator of (-241)\/(-35) - 2\/7 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1348816 is divided by 448252?\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 2308*b - 2297*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -2602, 0.46.\nAnswer: -2602, 2\/5, 0.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**4\/12 - 29*p**3\/6 + 99*p**2\/2 + 9*p + 8. Let k be s(-32). Solve 43 = -k*l + 28 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4620 and 32956140.\nAnswer: 362517540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 282 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y + 16. Let l be w(5). Suppose h + 30 = 4*h. Put 2, h, l in increasing order.\nAnswer: l, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**3\/7 - 54*q**2\/7 + 117*q\/7 - 60\/7 = 0. What is q?\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-1) - -3) + 16. Let b(d) = -d - 15. Let n be b(-7). Let l = n + v. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o + 3*o)*(0 + 3 + 0) + 2349*o - 1877*o - 4145*o - 2609*o.\nAnswer: -6279*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1337 is divided by 484?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*x - 74 = 0, -x + 79 = 2*f + 4*x. Differentiate 29 + 233 - 8 - f - 87 + 106*z**2 with respect to z.\nAnswer: 212*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, v: 4, z: 6, l: 2}. Give prob of picking 2 l and 2 v.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 237 + -229. What is the greatest common divisor of a and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94485528*n**3 - 3*n - 121180638?\nAnswer: -566913168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 - (-2)\/4. Let n be (21*-2)\/(58 + 29). Is o at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 4, 40, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2. Let y(z) = -2*z**2. Let j be 2*(0 + -3 + 2). Let w(v) = j*y(v) - 5*l(v). Let g(m) = -4*m**2. Give g(w(x)).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3822 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - 2551?\nAnswer: -2534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.208272 to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 7 + 7)*(r + 2*r**2 - r)*(2 - 3*r + 2*r - r).\nAnswer: -44*r**3 + 44*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1454 - -7172. Let r = m - -9191. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 1651888.\nAnswer: 1651888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from doommdodrumdddrurd. What is prob of picking 1 m, 1 o, and 2 d?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 5*c - 23 = -7, 0 = 4*c + 12 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1462 divide 330967560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 22313?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -144.612036 to 0 decimal places.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(1*sqrt(8)) + (sqrt(176) + 0 + sqrt(176))**2 + -5 + 4.\nAnswer: sqrt(11) + 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**3 + c**2 - c + 3. Determine m(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/16200 and -91\/50.\nAnswer: 16200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 1 = -3*d. Let r(h) = 4*h**2 - 10*h - 3. Let x(p) = 7*p**2 - 21*p - 5. Let t(z) = d*x(z) - 5*r(z). What is the second derivative of t(l) wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1814 (b) 0.02 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 3003855.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2217*o + 33309. Give x(15).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/3)*c)\/c)**(-38\/7) assuming c is positive.\nAnswer: c**(-76\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 375\/30 - (-6)\/(-4). Let n(m) = m**3 - 11*m**2 + 4. Give n(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 124541 - 45831027\/368. Find the common denominator of -27\/16 and i.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010091 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9858438 a multiple of 2021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + ((-4)\/10)\/((-5)\/(-10)). What is the closest to -3 in -2, -1, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269, 530, 791?\nAnswer: 1052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6234 <= 6232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence caja when four letters picked without replacement from {c: 1, a: 3, l: 1, j: 2, z: 3}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7959?\nAnswer: 3, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -200603 + 200602.916179. Let h = r + 0.083. Round h to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4732 + 163570 = 21*j + 20966. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 minus -13?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 11:56 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 14907 (b) -4 (c) 5 (d) 4\/9 (e) 4 (f) 1\/9 (g) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1237, -1228, -1209, -1180?\n\"Answer: 5*a**2 - 6*a - 1236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*c - 58*c = 3*c - 125. Is c greater than -4\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4821 < 342202\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c. Let u = 138 + -83. Let f(p) = -u + 55 + p - 3*p. Determine f(z(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9749.829 years in centuries?\nAnswer: 97.49829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*g**3 + 5*g - 1 - 46*g**3 - 1 + 27*g**3 in the form j*g**3 + v + u*g**2 + a*g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 6*x = -9*x + 6, -5*a = 3*x + 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.3, -0.11, 0.5, 4, 1\/4, -0.4?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 2*z**2 + 20 + 107 - 37 + 106 to s*z**2 + f*z + a and give a.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1 - 3*d**2 - 21 + 16*d - 12 - d**3 + 16*d**2. Calculate u(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**5 + 894098*t**4 + 17*t**2 - 86174*t - 252 wrt t.\nAnswer: 40*t**3 + 10729176*t**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 1 + (0 + 1 - 2)*(0 + 3 - 2))*(4 - 4 - w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**5\/60 + n**4\/8 + 2*n**2. Let u be f(-3). Let r be 4 + -1 - (-1)\/1. Solve u*q - 20 = -r*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2. Let j be -2 - (0 + 20\/(-5)). Let b = 2 - -3. Let m(c) = b*c**2 - 3*c**2 + 9*c**j. Give m(f(t)).\nAnswer: 11*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 53*x**2 - 1749*x + 91. What is q(76)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 195*p + 13 = -197*p, -p - 9 = 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 8 - 14\/7. Let o = -14 + 20. Which is bigger: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 2, 4, 3, 0, 30 in ascending order.\nAnswer: 0, 0.06, 2, 3, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6.88 or -1983?\nAnswer: 6.88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.35 - 5.4. Let r = 0.05 + h. Let f = r + 0.7. Which is the second smallest value? (a) 3 (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -34*t - 11*t + 33. Suppose -j - 15 = -3*z, -2*z = 2*z + j - 20. Let o = -5 + z. Solve t*k + 4 - 7 = o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + w - 42 + 2*w.\nAnswer: -w - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49154351 by 271571.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2 - 3. Let l(a) = -5*a**2 - a - 4. Let n(h) = -6*d(h) + 5*l(h). Give n(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 666*y - 1564*y + 466867 = 7015*y for y.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 25 + 5. Let s = 7 + -2. Suppose -s*v - k = -7, -2*v - k + 3 = v. Is v greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 18*q**2 - 61*q - 103. What are the prime factors of o(24)?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -441\/5 - 1407\/10*p - 9\/2*p**3 - 569\/10*p**2 - 1\/10*p**4 = 0.\nAnswer: -21, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 563.22 to the nearest 10.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x - 39. Let z(i) = -i**2. What is z(v(n))?\nAnswer: -100*n**2 + 780*n - 1521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 172881819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18467 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.08 (b) -0.2 (c) 3 (d) 11.12 (e) 1\/4 (f) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 51*r**2 + 2*r + 2. Calculate the remainder when o(1) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*s**2*w - 352*s**2 + 16*s*w + 732*s + 166*w + 205408 wrt s.\nAnswer: 10*s*w - 704*s + 16*w + 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - k**2 - 3*k + 3. Let f be g(2). Let p be 2*f\/(-3)*-3. Suppose r - 2 + 0 = p*d, -d = -5*r + 28. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-8))\/((-30)\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**2 - 75*w - 130 = 0.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2. Let v(m) = -m**3 - 8*m**2 - 6*m + 7. Let o be v(-7). Let f(z) = z**2 - 2*z**2 + 4*z**2 + o*z**2. Give f(j(w)).\nAnswer: 75*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2622, -2626, -2630?\n\"Answer: -4*v - 2618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4*4)\/1. Let t = 7 + h. Let x = 47 - -16. Calculate the highest common divisor of t and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51913\/72 - 721. Let w(y) be the third derivative of 1\/120*y**6 + 0*y + y**2 - 1\/630*y**7 + 0*y**3 - 1\/60*y**5 + 0 + n*y**4. Find z, given that w(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 - n**2 - 3*n - 6. Let t be 14*(1 + 1\/(-7)). Suppose -4*h + 4 = 3*m, -2*m + 4*h = 12 + t. Is d(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a micrometer in nanometers?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1337, 0.5, 2, -2\/51, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334108330 is divided by 752.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from cmmllepmlllm.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 2)\/((-2)\/67). Suppose 4*g - i = 2*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.52 take away 83774?\nAnswer: -83776.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*h + 6 + 14, -n + 26 = 4*h. Let t = h + -11. Sort 1, t, -2 in decreasing order.\nAnswer: 1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-4*4)**2 - 5*(sqrt(19) + 0 + 4)**2.\nAnswer: -40*sqrt(19) + 19281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 298 = -67. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -24 + 0 + (-295 - -304)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**5 + 2240*c**4 - 22096*c**3 + 52888*c**2 - 48428*c + 15400 = 0. What is c?\nAnswer: 1, 7, 550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 13*r - 18. Let m be n(9). Suppose 19*a = m*a + 7. Suppose -2*j - 14 = 5*t, 0*j + t - 8 = 5*j. Put a, j, -1 in descending order.\nAnswer: a, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 6*a + 7*a - 1)*(554*a - 945*a + 837*a).\nAnswer: -446*a**2 - 446*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 2683435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 6486.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 5:43 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {n: 2, z: 4, y: 2, g: 2, k: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 2*x + (-13 - 9 - 3)*(-4 + 4 - 2*x) to the form f + h*x and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 9:36 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73\/(-5) + -1 + 6525\/10875.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8861 is divided by 2101?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 0*t**4 - 3\/20*t**5 + 69*t + 25\/6*t**3 + 73\/2*t**2 + 0. What is the derivative of h(s) wrt s?\nAnswer: -9*s**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from fcccffffccfffffccccf.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 110249554.9 to the nearest one hundred thousand.\nAnswer: 110200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccgp when four letters picked without replacement from {w: 2, c: 6, u: 3, g: 2, p: 1, n: 4}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 874277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 - u. Let d be q(-1). Let n be (-164)\/21 + (-16)\/(-24). Let x = n - -7. Is x < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 22*o**2 - 71*o + 325. Determine v(19).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1031, -2082, -3131, -4178, -5223, -6266, -7307?\nAnswer: -8346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1462924361?\nAnswer: 19, 23, 3347653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/26)\/(w*(w*w*w**(22\/9)\/w)\/w) assuming w is positive.\nAnswer: w**(-797\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 321083 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a milligram in micrograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 12*r**3 + 87*r - 169. Calculate the remainder when 4241 is divided by p(2).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -7 + 27 - 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/87 and -91\/342.\nAnswer: 9918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(2916) - (3*sqrt(2916) - sqrt(2916))) + sqrt(2916) + sqrt(2916) - sqrt(2916))\/sqrt(12) + (sqrt(972)*3)\/sqrt(4)))**2 + 0.\nAnswer: 19683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.9 - 9. Which is the closest to d? (a) 1\/5 (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1191.5 and -262860324?\nAnswer: 262859132.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59407 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 4 + 0 + (-92)\/(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/21 - 92\/(-207)*18\/(-84). What is the fourth biggest value in -109, -4, b, 0.1, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by ((-280)\/16)\/(5\/(-12))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w - 2*i = -14, -5*i = -5. Suppose -2*f + w*f - 34 = 0. Suppose 5*h - 2*b = f, 2*h - 1 = -2*b - 3*b. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.7 - 14.7. Is 27 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)\/a)**(-19\/6))**(-3\/10) assuming a is positive.\nAnswer: a**(-57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.4 + -18.4. Let n = -1.5 - t. Let l = -10 + 5. Sort n, l, -0.09 in descending order.\nAnswer: n, -0.09, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**7\/70 + r**5\/60 - 31*r**3\/3 - r**2 - 44. What is the derivative of l(q) wrt q?\nAnswer: 12*q**3 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*c - 230*c + 473 = 0 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 238214265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - -10133?\nAnswer: 10114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 661919 <= 5957260\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*s + 1)*(62975*s - 31491*s + 1664 - 31488*s).\nAnswer: 8*s**2 - 3328*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 23601968.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*p - 4 = 0, -4*p = -5*z - 5*p - 10. Let k be (5\/(-2))\/((-1)\/2). Let r be (-8)\/k + (-4)\/10. Is z not equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -500*i + 1297*i - 334*i.\nAnswer: 463*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*n + 15 = 66*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 5*i**2 + 3*i - 2. Let t be r(4). Let w = 8 + t. What is the lowest common multiple of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0 + h)*(186 - 540 + 171 + 183 + 3665*h**4).\nAnswer: 3665*h**5 - 3665*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*c**4 + c**3 + 12*c**2 + 5.\nAnswer: 744*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1343314811 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.38 + 1.696. Let l = j + -0.016. Let y = 18 + -20. What is the nearest to 0.1 in l, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 2*q + 1. Let o be b(3). Does 19 divide 2\/o + 300\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 744 = 3*u, -5*p + 1256 = -4*u + u. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 0*m - 18. Let o = m + 8. Let x be (-2 - (-11 + -2))*o. What is the highest common factor of 242 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -6, -4\/11, -632.3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1 (b) 11 (c) -0.2815\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 4251*s + 72520. Calculate x(-17).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 22. Suppose -133*j - 10 = -131*j. Let y = 16 + j. What is the greatest common divisor of w and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9351877408.\nAnswer: 2, 1361, 214729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 937*r**5 - 7*r**4 + 2098*r**3 - 1965*r**2 + 3*r - 13?\nAnswer: 56220*r**2 - 168*r + 12588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 7*d + 2*d + 2*d + 2*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 404? (a) 2 (b) -0.7 (c) 0 (d) -2\/1509\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**4\/54 + 106*d**3\/27 + 2809*d**2\/9 - 5*d + 17. What is z in i(z) = 0?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64347 divided by -3.\nAnswer: 21449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.31 - 0.01. Let o = -0.8 + i. Let m = -0.9 - o. Sort 3, m, 2\/7 in ascending order.\nAnswer: m, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*t + 6. Let g be (t\/4)\/(2\/(-52)). Suppose z = 2*z - n - g, -2*n = 0. What is the remainder when z is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686.5911536 rounded to 2 dps?\nAnswer: 686.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, r: 2, q: 7, g: 8}. Give prob of sequence qr.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41663507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -28 - (-156 - -128)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 8\/(-20)*-5*(-10)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -154a43 (base 11) to base 8\nAnswer: -726305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 54.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31757?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 22. Does 10 divide -3 + (-1 + q - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1147 and 4.5057212.\nAnswer: 1151.5057212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 94705?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 110371.4.\nAnswer: -3311.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -33. Suppose r*k - 3*k + 17 = 0. Let d be ((-42)\/(-56))\/(k\/(-4)). Solve 2*x + 0*p + 2 = -2*p, -d = -x + 3*p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 70?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 15. Let r be i\/(5\/2) + 2. Solve 4*x + 20 = r, x + 2 = -4*p - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 11. Let h = y - -18. Solve -h - 1 = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -233268, -234486, -235704, -236922, -238140?\n\"Answer: -1218*m - 232050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -262 + 375. Let o = 115 - m. Solve -2*y = o*d, 2*y + 0*y + 3*d - 3 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17938878, -17938863, -17938824, -17938749, -17938626, -17938443?\nAnswer: -17938188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (66*-1)\/(6\/4). Suppose -3*s = -6*s + 48. Let y be s\/24 - c\/6. Solve 4*i = 2*i - y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 6. Let s be c(0). Let g = 7 + -6. Let y be 162\/45*(g + 4). Calculate the highest common divisor of s and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3 - 7*d**2 + 5*d - 2. Calculate p(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g**3 + 2*g**3 - 51*g**3 - g**3 + g - g + (0*g - 3*g + 2*g)*(g**2 + g**2 + 0*g**2) - 3*g**3 - g**3 + 2*g**3 + 0*g**2 + 0*g**2 - 2*g**3.\nAnswer: -63*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 31. Let i(x) = -2*x + 2. Let w(z) = -3*g(z) + 24*i(z). What is the tens digit of w(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 7*l - 16 = -3*l, 5*u + 16 = -4*l. Suppose -m + 3*m - 226 = u. Is m a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 4 - (-7 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a hour in seconds?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 6:49 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3158\/(-4 + 4 - 2\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 8888472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07173*4.\nAnswer: -0.28692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, x: 2, j: 4, t: 2}. What is prob of sequence xhjx?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 21*a - 30*a - 95795, -4*b + 76677 = a. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbvvbvvbvhvgvvvbv. What is prob of sequence hhbv?\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhf when three letters picked without replacement from {f: 6, a: 1, m: 3, h: 1, j: 2}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 28*o. Let s be p(-5). Let x = -48 - s. What is the second derivative of -x*l - 6*l**5 - l**5 + 90*l wrt l?\nAnswer: -140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30613 + -25?\nAnswer: 30555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(2\/(1 + 1)). Let r(k) = -k**3 - k + 3. Let m be r(j). Solve 5*y + 5*g = m*y - 8, 4*g + 8 = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70*c**3 + 3*c**2 - 35*c?\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -100*m + 99*m + 2*n, m - n - 104 = 0. What is the least common multiple of m and 1617?\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907 is divided by 283?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -360806891058 and 4.\nAnswer: -360806891054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45763*v**3 - 13254.\nAnswer: -137289*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l. Let b(a) = -17*a. Let c(x) = -2*b(x) + 9*m(x). Let v(w) = -7*w. Calculate v(c(k)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -50*w**2\/11 - 821560*w\/11 - 3374804168\/11 = 0?\nAnswer: -41078\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4566588*u**3 - 15145*u**2 + 30296*u**2 - 4566595*u**3 - 15151*u**2.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1885200690?\nAnswer: 2, 3, 5, 37, 1698379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.39 (c) 0.189 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y + 7. Let t(l) = 13*l + 6 - 10 - 10. Let r(s) = 7*h(s) + 3*t(s). Suppose 5*p - 25 = -0*p. Determine r(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - x. Let s = -14 + 15. What is o(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35263, 70561, 105859, 141157, 176455, 211753?\nAnswer: 247051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1867*s + 1 + 504*s + 1461*s.\nAnswer: 98*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4 - 6. Let q(n) = 1. Let i(u) = 6*u - 20*u + 10*u + 0 - 1 + 3*u. Determine v*i(p) - 5*q(p).\nAnswer: 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 22. Let k(b) = 5*b - 1. Let o be k(1). Suppose -26 = 2*c - o*w, 7*c - 3*c - w + 38 = 0. Is g(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/(-62)*44\/11. Let v = 392\/465 + j. Let s = -3\/23 - 37\/69. Which is the nearest to s? (a) 0 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 342 and 481473927.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 66*u**2 - 7*u + 5. Let w be l(1). Suppose w*a - 66*a + 540 = 0. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134 + -140. Which is the biggest value? (a) -0.2 (b) f (c) -3\/2 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.452912 kilograms in milligrams?\nAnswer: 5452912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 6*d**5 - 578*d**4 + 2942*d**3 - 2718*d**2 - 1108*d + 1456 = 0.\nAnswer: -2\/3, 1, 4, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 n when four letters picked without replacement from isfbnebiffnibnn?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/84)\/((4\/(-10))\/((-200)\/(-625)))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 3. Let p(l) = -l + 3. Let k be p(2). Let g be d(k). Suppose -2*x - 8 = 0, -v - g*x = -0*v - 81. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 10*w - 4. Let n be d(8). Let q = 8 + n. Calculate the smallest common multiple of q and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 776, 0, -322, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(833) + 3 + 2 + sqrt(833) + -1.\nAnswer: 4 + 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*1\/(-6))\/(2\/3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + n)*(-47*n + 3*n + 17435 - 17560 - 19*n) to the form b*n**2 + c + f*n and give f.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 0.1, -3, 62?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/15 + 908\/6810. Put n, 3, 6, -1, -5 in ascending order.\nAnswer: -5, -1, n, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cclccclllclccllc. What is prob of picking 2 l and 1 c?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 39b1?\nAnswer: -39b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21781923161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 11 - 25. Suppose -f - t = -4*f. Let j(n) = -2*n**2 + 5*n - 4. Calculate j(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 9:35 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-22347)\/(-18) + 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -302*q + 909. Let x be f(3). Let z = 36 - 19. Suppose -z*d + 16*d = 0. Solve d = x*c - 5 - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -242 (c) 3 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1022 divide 116300534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = 102 - 294. Calculate the highest common divisor of 456 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7493351251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 9:50 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t - 41*t - 15*t.\nAnswer: -69*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 0.3973, -1.\nAnswer: -1, -3\/5, 0.3973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -106*w**3 - 2*w**2 + w + 2. Let y be x(-1). Let l be 12\/15 + (-69)\/y. Let n = -0.7 - 0.3. Which is the closest to -2? (a) l (b) 0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000030995 rounded to 7 dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 748 (base 10) to base 15\nAnswer: 34d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-636 - -589) + 12 + 116.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1293980 = -5*q + 2*y + 2*y, 2*y = -2*q + 517610. Suppose 15*r - 19*r = q. Round r to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 22908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -680 and 0.562.\nAnswer: -382.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**2\/11 - 684*o\/11 - 3370\/11 = 0.\nAnswer: -337, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 84*b + 439 = 88*b, -5*b = -r + 121. Suppose 11 + r = 8*u. What is the remainder when 55 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -3*o**2\/2 - 2*o + 22. Suppose -3*m + 4 - 13 = 0. Let z(k) = -15 - 6*k + 8 + 3. What is m*z(v) + 7*s(v)?\nAnswer: -3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 4:06 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2\/54725877 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 12\/31, -5, 0.1, 0, -3695?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 4*v - 1916, 0*q = 5*q + 3*v - 2419. Suppose 5*b - q = -87. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 8 = -0*g + k, 2 = 3*g - k. Suppose -5*n - 3*c = -11 - 2, 2 = g*n + 2*c. Solve 2*a = n*i - 5, -3*a = a - i + 19 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -39*a**2 - 3*a - 266. Let d(h) = 10*h + 19*h**2 + 134 - 4*h + 6*h - 10*h. Let z(i) = 5*d(i) + 3*r(i). What is the derivative of z(c) wrt c?\nAnswer: -44*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609697?\nAnswer: 11, 43, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5700 minus 28772965836?\nAnswer: -28772971536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventy-four thirds of a day?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 376017 (base 8) to base 15\nAnswer: 2880d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 359130, 1436505, 3232128, 5746005, 8978142, 12928545, 17597220?\n\"Answer: n**3 + 359118*n**2 + 14*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*z + 340 + 576 = 0, -600 = -2*u - 4*z. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64606003+25008\nAnswer: -64580995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22, -104, -244, -448, -722, -1072?\n\"Answer: -n**3 - 23*n**2 - 6*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -7228516 and -7228515 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 6, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y + 1339 - 9 = 0. Let q be 3*(-15)\/6*112\/y. Put -3, 5, q, 2 in descending order.\nAnswer: q, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19a5989 (base 14) to base 7\nAnswer: 213353332","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Three letters picked without replacement from azaazz. What is prob of picking 1 z and 2 a?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 5, -5437, 3 in descending order.\nAnswer: 5, 3, 1, -5, -5437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**4 + 2504*v**3 + 174416*v**2 + 1531104*v + 2384640 = 0?\nAnswer: -54, -8, -2, 690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + sqrt(44) + 1)**2 + 1.\nAnswer: -8*sqrt(11) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100 or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*-14846.\nAnswer: 16330.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(675\/(-18)) + 8\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 19*w**3 - 4*w**2 + 3*w - 4. Suppose -3*b - 5*b = -416. Let v be 41\/13 + (-8)\/b. Is u(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q + 3 - 3 - 16*q**2 - 5*q. Calculate l(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*u + 233 = 715 + 228. What is the lowest common multiple of u and 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4204811736?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256 and 151.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.61, 4\/7, -1\/2, -0.3, -8.\nAnswer: -8, -1\/2, -0.3, 4\/7, 0.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/9, 3\/4, -0.128, 13, 4.8?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1615 and 5423?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 434?\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1412*j**2 + 22584*j - 128 = 0.\nAnswer: -16, 2\/353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-1))\/(1\/(-1173)*-92)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1442 and -15813.\nAnswer: 22802346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 0*k - 2*k + 18 = 0, 3*d - 5*k = 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -785\/2 - -393. Sort -0.06, u, -0.5 in descending order.\nAnswer: u, -0.06, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**2 + 4*r + 8. Let t(w) = 6*w**2 - 5*w - 9. What is -7*l(d) - 6*t(d)?\nAnswer: -d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 0 (b) 0.01 (c) 3\/5 (d) 0.2 (e) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.037 + -0.137. What is the fourth biggest value in 0, -2\/13, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 768605906?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.3. What is the second smallest value in d, -6, -1\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3022868*o - 3802077*o + 0 - 4725777*o + 1.\nAnswer: -5504986*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/10)\/(14\/(-35)). Let z(s) = -s. Let q be z(-4). Let r(n) = -n**2 - 4*n + 8. Let l be r(-6). Put d, q, l in decreasing order.\nAnswer: q, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8510*z**2 - 17704*z**2 + 5012*z**2 - 5936*z**2.\nAnswer: -27138*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3129497.\nAnswer: 7, 37, 43, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*m + 2*z, 7*m + z = 2*m + 5. Let t(a) be the second derivative of -a**2 + 1\/12*a**4 + 1\/6*a**3 + 0 + 296*a. Determine t(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28420a (base 11) in base 14?\nAnswer: -b815c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51164*v - 51162*v = 2*q + 10, -4*q = -3*v + 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 1\/16, 0.2, 10, 1\/233, 2\/5 in decreasing order.\nAnswer: 10, 2\/3, 2\/5, 0.2, 1\/16, 1\/233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 132039866 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5746*s**3 + 7*s**2 - 23*s + 22. What is the tens digit of l(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2. Let f be ((-3)\/12)\/(12\/(-288)) - 6. Let a(q) be the second derivative of 0*q**3 + 0*q**2 + 7*q + 1\/2*q**4 + f. Determine a(x(s)).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45 in -2\/13, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -2, 103.\nAnswer: -2, 2, 3, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41 + -b6?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 20*h**2 + h - 17. Let n be d(20). Solve -3*f = -3*k - 6, n*k + 10 = f - 0*f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a + 494179 = 9361*a + 81*a + 173593 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 278880909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5 = -0*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16 - -12) + 40 + 1. Suppose -7*c + 33 + w = 0. Calculate the least common multiple of c and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdu when three letters picked without replacement from xezzudzgzgezxex.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69 + -69 + (-4 - 21)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 52*g**2 + 427176992*g + 65719536 = 0.\nAnswer: -8214942, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.5 + -2. Let v = -632.43 + 627. Let c = v - -0.43. What is the smallest value in c, s, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + p**2 - 5 + 2*p**2 + 2*p + (-p + 3*p + 0*p)*(1 - 3*p - 1).\nAnswer: -4*p**2 + 2*p - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvxvvvvgpxss. What is prob of picking 1 x and 1 p?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2571*y - 4674*y + 7248*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a3 + 96bc8?\nAnswer: 96b25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/v**(-1\/6))\/v))**(-5\/2)\/(v*v**2)**(-2\/19))**(1\/29) assuming v is positive.\nAnswer: v**(-403\/6612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 11:45 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*l**3 + 2*l**4 - 71*l**3 + 2*l + 180*l**3 + l**2 to h*l**2 + c + x*l**3 + q*l**4 + r*l and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*q**2 - 5139*b*q - b + 1870136*q**2 - 369*q wrt q?\nAnswer: -2*b + 3740272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100 + 100 + 10*c)*(2*c - c + 0*c)*(-c - 3 + 12*c - 9*c).\nAnswer: 20*c**3 - 30*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76 - -76) + -1 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1)*(c - c - 2*c + (3 - 1 + 0)*(-c - 4*c + 3*c) + (4*c + 9*c - 5*c)*(1 - 1 + 1) - c + c + c) as y*c + j and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6647016.\nAnswer: 2, 3, 419, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o**2 + 3*o. Let l(p) = -23891 + p + 23891 + p**2. Determine -h(t) + 3*l(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8dcc20 + c?\nAnswer: -8dcc13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -10. Let o = -4 + m. Suppose -3*t + 5*t = -o*w + 49, 2*w + 5*t = 7. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(20\/4))\/((-6)\/2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 + -149882443?\nAnswer: -149882443.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -36890032.49 - -6.92\nAnswer: -36890025.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 76, -1 in decreasing order.\nAnswer: 76, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnv when three letters picked without replacement from {v: 4, f: 1, q: 3, t: 4, n: 2}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*p**4 - 11*p**4 - 46*p**4 + (-2*p**2 + 0*p**2 - p**2)*(19 - 5 - 5*p**2 - 11) as t + w*p + z*p**2 + j*p**4 + o*p**3 and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -5 + 74\/12. Let i = -13\/3 + h. Put i, -3, -5, -3\/4 in decreasing order.\nAnswer: i, -3\/4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 2983908.\nAnswer: 5967816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 times 1.6892?\nAnswer: -0.439192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -23*o - 166. Let y(x) = -159*x - 1161. Let w(t) = 15*g(t) - 2*y(t). What is the tens digit of w(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -12054*f. Let w(b) = 2*b. What is w(v(s))?\nAnswer: -24108*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.62467 less than -1?\nAnswer: -88.62467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/4886 and 21\/501164.\nAnswer: 3508148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-504)\/100)\/1)\/(-3 + -1) and -2\/15?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 - 12*h - 5. Let j be t(-5). Suppose -2*v = -4*w + 108, -2*w - j*v - 130 = -7*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(22)\/sqrt(50)) + -3.\nAnswer: -3 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/(-10))\/(18\/(-90)). Let k = p - 13. What are the prime factors of (268\/k)\/(2\/(-6))?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19.72 from -0.01832.\nAnswer: 19.70168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.26 in -1, 3, 2, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.3424 + -71.2144. Round g to one decimal place.\nAnswer: -67.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3688816819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2011927178?\nAnswer: 2, 811, 1240399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 27*k - 8 = 0. Suppose 5*b - 1 = 9. What is the lowest common multiple of k and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 5*q - 15. Let h be (-50)\/330 + (-5)\/((-110)\/(-4)). Let i = 0.068 - -0.932. What is the nearest to h in i, 3, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4186573 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -11*(-3 - (0 + 6))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h**3 + h**3 + 694*h + 2*h**2 - 2*h**4 - 693*h to p + m*h + y*h**3 + u*h**4 + k*h**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((-75)\/10)*5. Suppose -5*x + 4*u + 2 = 0, -2*x = r*x - 3*u - 2. Solve x*o = -2*o + 2*a, 0 = a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 434*s**3 - 31*s**2 - 131926*s wrt s.\nAnswer: 2604*s - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 12 - -7) + -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 216 + 72 = 0. Solve -5*o = 4*n - 17, -3*n + 4*o = -n + l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 - 3*b + 158*b**3 - 156*b**3 + 15*b**2 - 2 + (4*b - 4*b - 2*b**2)*(5 - 5 - 2*b).\nAnswer: 6*b**3 + 12*b**2 - 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.78689?\nAnswer: 3.14756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346074 to the power of 1\/2, to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 17684826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-4 + (8 - 8) + -2 + 31)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-765)\/612*(-3)\/(6\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 2:35 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 968295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -7 - (4 + 1 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a + 30. Let z(f) = -f**2 + 3*f + 3. Let n(b) = b**2 - 4*b - 4. Let m(k) = -3*n(k) - 4*z(k). What is g(m(j))?\nAnswer: -2*j**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2) + (1 + -4 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzj when three letters picked without replacement from {z: 7, j: 1, n: 3, r: 1}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 20*a - 43. Let u(g) be the third derivative of -g**5\/60 + g**4\/4 - g**3\/3 - 3*g**2. Calculate u(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1373.2 + 1372.9. What is the biggest value in 520, t, 3\/4?\nAnswer: 520","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2\/16) + 2 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 65*h**8\/168 - 4*h**7\/105 - 1885*h**4\/24 + 4*h**2 - h + 30. What is the second derivative of z(x) wrt x?\nAnswer: 2600*x**3 - 96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25014 (base 7) to base 11.\nAnswer: 49a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14376745?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.451 - 0.549. Which is the biggest value? (a) y (b) 1\/5 (c) 0 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/181, 1, -2\/1675, -4, 0.3, 4 in decreasing order.\nAnswer: 4, 1, 0.3, -2\/1675, -3\/181, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 > -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -467*k + 127*k + 0 + 106*k + 150*k + 2.\nAnswer: -84*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -4 in ascending order.\nAnswer: -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/(-4*sqrt(20)))\/(-5*(sqrt(160)\/(sqrt(4)*-2 - sqrt(4)))\/sqrt(8)).\nAnswer: -3*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*(((-2 + sqrt(208))*5 + (sqrt(208) - -5*(-2 + sqrt(208) - sqrt(208))))*-3 + 0)**2.\nAnswer: -8640*sqrt(13) + 70996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -8*d**3 + 2*d**2 - 6. Let w(z) = -23*z**3 + 7*z**2 - 17. Let m = 31 + -14. Let x(a) = m*i(a) - 6*w(a). What is the third derivative of x(o) wrt o?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -852, -1704, -2556?\nAnswer: -3408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-24)\/y*y))\/y*y*y**(-3)*y*y*(y*y**(2\/15)*y*y*y*y)**(-18) assuming y is positive.\nAnswer: y**(-342\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -257*x**4\/4 - 5449*x**2. Let f(r) = -r**2. Determine f(d(l)).\nAnswer: -2377764*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57.96672 + -6.21924. Let f = -0.00596 - h. Let d = f - -9.92. What is d rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 5*h**6\/24 + 3*h**5\/2 - 135*h**4\/8 - 45*h**3 - 9*h**2 - 113*h. Suppose r(f) = 0. Calculate f.\nAnswer: -6, -3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 + 20*a - 3. Let l(p) = -5*p**2 - 42*p + 5. What is 4*l(s) + 7*t(s)?\nAnswer: s**2 - 28*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 4*n**2 + n + 25. Let j be l(5). Suppose 0 = z - 3*v - 12, 0*v = -4*z - j*v - 20. Solve 3*f - 6 + 9 = z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5\/4593 and 2912 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 8231331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184016?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14514 = 27*p - 86*p. Calculate the greatest common factor of 3034 and p.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 385, 1210, 2811, 5446?\nAnswer: 9373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 102 - 136?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.13 - -16.13. Let z = k + -16.1. Let n = 0.29 - 1.29. Sort n, z, -0.08 in ascending order.\nAnswer: n, z, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 + f - 154. Let s(l) = l**2 + 77. Let h(o) = 2*m(o) + 5*s(o). Is h(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + (3 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -540*u - 2209. Determine p(-4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qquu when four letters picked without replacement from uuuqluququql.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3549208 to the nearest integer?\nAnswer: 1884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/15 of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6827161\/30 + -227538. Let p = 172\/15 + o. Let k = -985\/187 + 105\/17. Calculate the common denominator of k and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -26\/33577?\nAnswer: -26\/33577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*((-88)\/(-33))\/((-2)\/6). Solve 17*o - g*o = 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21146 and 194.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7216 and 128?\nAnswer: 57728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**6\/45 - a**5\/90 + a**4\/72 + a**2. Let b(s) = 0. What is s?\nAnswer: -1\/2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12112 - 11?\nAnswer: 12101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 - 1265*l + 1261. What is k(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, v: 5}. What is prob of picking 3 v and 1 u?\nAnswer: 20\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -0*t + 4*t + 5, 3*q = -2*t + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43134 rounded to the nearest one hundred?\nAnswer: 43100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177 = 2*s - m - 172, -2*s - 17 = 3*m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -139616 - -139616.0070223. What is o rounded to five decimal places?\nAnswer: 0.00702","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {h: 8, a: 2, e: 3, y: 6}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 150 = -27. Calculate the remainder when 68 is divided by c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -158490?\nAnswer: 1\/79245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 2*y**2 - 10*y**2)*(5*y**3 + 28*y - 28*y).\nAnswer: -45*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134545044 (base 6) to base 5.\nAnswer: -1201014340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 0) + (1 - -72). Let q be (13\/2)\/((-10)\/100). Let o = q + y. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*u = -k + 4, 2*k = 4*u - 14. Let w = k + 4. Suppose 0 = 9*z - 3855 + 3855. Solve n = t - 2 - z, -2*t = -n - w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*t - 398*t - 18187 = 20273 for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102332210 + -2?\nAnswer: 102332202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2096*i**3 - 2*i**2 + 14*i - 20. Let z(y) = -698*y**3 + y**2 - 5*y + 7. Let c(k) = 3*t(k) + 8*z(k). What is the hundreds digit of c(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -3\/8 (c) 1\/6 (d) 29 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*v + 80 = 5*v, 4*v - 156 = 4*n. Let j = n + 43. Suppose -5*m - 45 = -j*m. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -1352*y - 8107. Calculate w(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 2, w: 1}. What is prob of sequence wv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.35 - 0.55. Let p = 4 - -3.8. Let u = x + p. What is u rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -406949\/8 - -51080. Let x = u - 211. Find the common denominator of -55\/9 and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22279328*w**4 + 46*w**2 - 5*w + 9611?\nAnswer: -534703872*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p + 4*o + 148 - 1 = -13*o, -30*p + 33*p + 2*o + 17 = -0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 442 - 438. Let u(j) = -j**2 + 2*j + 2. Calculate u(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, -19, -2, 55, 164, 337, 586?\n\"Answer: 2*d**3 + 2*d**2 - 31*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -37*h. Let p(x) be the first derivative of 31*x**2\/2 - 2*x + 7575. Determine d(p(t)).\nAnswer: -1147*t + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 92781096 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 1. Let u be v(-1). Suppose 2*n = -4*c - u*n + 324, -9 = 3*n. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43182 is divided by 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 382, 361, 340, 325, 322, 337, 376?\n\"Answer: i**3 - 6*i**2 - 10*i + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r + 4*s + 3 = 0, r - 2*s + 1 = 0. Let j(d) = 0*d**2 + 4*d**2 - 3*d**2 - 4*d. Let x be j(r). Solve 5*i - 3 - 17 = x*w, -3*i + 18 = 3*w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 51*g + 100. Let s be z(-2). Which is smaller: s or 260?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*f + 16, 5*l + 15 = -0*l. Let d be ((-2)\/(-4))\/((-6)\/(-36)). Suppose 2*s + 5 = -3*s + m, -5*s = d*m + 25. Is s >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.01, -5, -0.4, 1\/6 in increasing order.\nAnswer: -5, -0.4, 0.01, 1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 1\/6*l**4 + 5\/6*l**3 + 0 + 7\/6*l**2 + 1\/2*l = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429835 a multiple of 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 410 - 474 = 0. Suppose 17*s + k = -18. Sort -5, s, -21 in increasing order.\nAnswer: -21, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127*(-1 - 10\/(-5)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -431748 divided by -1074?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6876 - 6866. Solve -5*b = -u + 7, 3*b = -2*b - h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - 5)*(-6)\/2. Calculate the remainder when -66*9\/(-6) - z is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2965 a factor of 357833990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b**2 + 20513*b - 20513*b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -147, -184, -279, -462, -763, -1212, -1839?\nAnswer: -2674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -31*m**3 + 63*m**2 + m + 4. Calculate the least common multiple of l(2) and 656.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*g + 4*q + 48, -2*q - 4 = -11138*g + 11137*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*-1 - (6 - 1). Let b be 168\/32 + 2\/j. Calculate the highest common factor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 22, 23, 26, 31, 38, 47?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 142 - 120. Let j be (-2)\/12 + (-125)\/(-30). Let z be r\/(-2 + j) + 22899. What is z rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.55 - -0.6. Let d = g + 0.05. Let n = 2.1 - d. What is the smallest value in -2\/5, -0.1, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267 + 579 = 94*w - 346 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*g - 7 = 0, 5*y - 3*y - 5*g - 9 = 0. Let p(v) = v - 1. Let a(w) = -w**2 - 13*w + 4. Let f(s) = a(s) + 3*p(s). What is f(y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 60, 2, -2 in decreasing order.\nAnswer: 60, 2, -2, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 25623268.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 21. Let f be v(16). Suppose -5 = -f*i + 400. Let o = -409 - i. What is o rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 4063*c**4\/4 + c**3 + 2*c**2 - 4. Let t be h(-4). What is t rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -29*o**3 - 2*o**2 - 3*o + 4. Suppose -i = -5*t + 19, 3*t + 11 = i - 6*i. Let c be k(i). Suppose -n + 519 = -c. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 1\/60*l**6 + 0 + 1\/30*l**5 - 5*l**2 - 1\/6*l**4 + 0*l + 0*l**3. Let y(h) = 0. What is h?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (1 + 1 - (-1050)\/231)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -7*o + 9*o. Let w = o + -1. Is (-1)\/(132\/(-64) - w) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**3 - 191*v**2 + 124*v + 136. Let y = 40 - -48. Calculate the remainder when y is divided by x(63).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.7 and 4553?\nAnswer: 4550.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-186)\/(-14) + 2\/(-7). Let d be r\/4 - 21\/(-28). Suppose -13 = -d*c - 1. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 103*q. Let p(g) = -9106*g. Calculate f(p(y)).\nAnswer: -937918*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 771448.5 litres to millilitres.\nAnswer: 771448500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22000100 - -2000?\nAnswer: 22002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -156035 + 406264. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -72 - 48. Suppose -2*f + 75 = 3*f. Solve 0 = 5*p + 5*z + f, 4*z = 4*p - z - d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292389869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 145, 147, 149, 151, 153?\n\"Answer: 2*c + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + m = 140, 0*m - m + 2 = 0. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-6)\/16*3 - (-1 + 782\/16).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 14*p**2 - 7*p - 1. Let c(n) = -n**3. Let q(u) = 2*c(u) + m(u). Is q(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -3. Suppose -60 = w - r*w. Is 5 a factor of (1 + w\/2)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 49127882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 30 (b) 2\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5662.118*0.7.\nAnswer: -3963.4826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21900 minus 2?\nAnswer: -21902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*h - 5*s, 2*h - 4*s - 3 - 13 = 0. Solve h*w - 23 = 3*a, 0 = 2*a + 2*w + 2*w - 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*t - 15. Suppose 2*q - 15 = t*o, 0 = -2*o + 4*q - 1 - 1. Let n(r) = r + 10. Let k be n(o). Solve -k*y - 5 = -8*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/12 and -47\/183?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 6*g + 11. Let p be x(7). Let y(i) = 10*i - 12. Let o be y(2). Solve -p*v + o = 0, -2 = 3*u - 2*v - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1376*u - 3*u**4 - 4*u**4 + 1362*u wrt u?\nAnswer: -84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3651 is divided by 118.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u = 2*p - 1865, -2*p + 18 = 6. Solve 6*k + u - 151 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(1\/2 + 1). Let j(g) = -3*g**2 - 3*g - 1. Let o(c) = -7*c**2 - 5*c - 2. Let l(u) = 5*j(u) - 3*o(u). Is l(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199 + -108. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97263 - -18615.\nAnswer: -78648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 713*f + 25722 - 25563 - 25636 = 50101 for f.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(18))\/sqrt(6))**2 + -4 + sqrt(3) + sqrt(18)\/sqrt(6))*4.\nAnswer: 8*sqrt(3) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64.993 - 65. Let g = u - 0.0142. What is g rounded to 3 decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 6. Let s = 24 + v. Calculate the smallest common multiple of s and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 546 - 374. Suppose 2*d + 336 = -d. Let m = x + d. What is the highest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3576269 and 3576266 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -98, 44, 412, 1114, 2258, 3952?\n\"Answer: 18*w**3 + 5*w**2 + w - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -116\/621?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 - -1a?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10)*(-20)\/(-36)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 3*l, -5*l + 13 = -q - 3. Suppose 4*d = 4*f + 68, -6*f = 2*d - q*f - 30. Calculate the lowest common multiple of 0 + (12 - 6\/3) and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g**(-2\/5))\/(g**0)**(-4\/15) assuming g is positive.\nAnswer: g**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342552 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/(-11))\/(5976\/3652). What is the nearest to d in -1, 153, 3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037242 to the power of 1\/2, to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/266 - -545\/3458. Suppose 4*k = 3*n + 6*k - 13, -19 = n - 4*k. Let f = 2 - n. Is f smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 a when four letters picked without replacement from {l: 2, s: 5, n: 1, v: 2, a: 10}.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffnfznffznnnnfnnfn. Give prob of sequence fzf.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.4 - 1.4. Sort -3, 2\/19, s.\nAnswer: -3, 2\/19, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 25 = -5*m, f - 1 - 9 = -2*m. Let t be (49\/(-14))\/(29 - 1). What is the closest to -5 in t, m, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433282 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -163.43 times -5620?\nAnswer: 918476.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 41343 in ascending order.\nAnswer: 1, 5, 41343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*k + 11539 = 232*k - 10546 - 1275 for k.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23119*i + 46230*i - 23109*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(8) + sqrt(96)\/sqrt(192)) + (sqrt(1088) - (0 + sqrt(1088) + 5))**2.\nAnswer: 4*sqrt(17)\/5 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -896 + 992. Let v be (1 - 2)*2*-49. Let u be 8\/(-32) + v\/8. Calculate the highest common divisor of u and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -202*y**5 + 4*y**4 + 18*y**2 - 2*y + 4. Let p(s) = 2*s**5 - s**4 + s**2 - 1. Let g(o) = -4*p(o) - v(o). Find the third derivative of g(t) wrt t.\nAnswer: 11640*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13983497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**7\/630 + 5*r**4\/24 - 2*r**2. Let z(x) be the second derivative of f(x). Let h(s) = -3*s**2. Determine z(h(i)).\nAnswer: 36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(108) + sqrt(12)) - ((sqrt(20))**2 + -4).\nAnswer: -16 + sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = c - 2*s - 10, -5*c = -2*s - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**2 - 35880*q + 107685 = 0. What is q?\nAnswer: -7179, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**4\/102 + 137*t**3\/51 - 138*t**2\/17 - 2520*t. Factor q(r).\nAnswer: 2*(r - 1)*(r + 138)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2)*j*j**(-5))**30 assuming j is positive.\nAnswer: j**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24 (b) 4 (c) 3 (d) 0.3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k - 42. Suppose -9*i + 3*i = 774. Let h = -123 - i. Let v be o(h). Solve -4 = -2*q - 2*g, -3*g + v*g = q + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3284483 minus 50.32?\nAnswer: -3284533.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 + 222101?\nAnswer: 221012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61504*s**2 - 11167 wrt s.\nAnswer: 123008*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.291 + -4.709. What is the closest to 0.02 in 0.2, -1\/6, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 24 + 30. Solve -t = -6*k + k - 24, 0 = -2*k + r*t - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 0) + (-10)\/2. Let h = a + 8. What is the second derivative of -h*o + o**2 + 6*o**2 - 5*o**2 - o**2 wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 5:25 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 184.97 to zero dps.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 96*m = -97*m + 89, 5*x - 145 = -35*m for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54996 and 214908?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 36*h - 263. What is r(-7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 1:18 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9*k + 4. Suppose -b - 10 = -6*b. Let h(u) = 8*u + 4. Let x(v) = b*h(v) - 3*y(v). List the prime factors of x(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1408 and 17149.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t**3 + 6*t**3 - 5*t**3.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30551800 rounded to the nearest 100000?\nAnswer: 30600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + j - 2*j - j + 1 in the form i*j**2 + m + x*j and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 87? (a) -16 (b) 0 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -74\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 338\/585*114\/247?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h**4 - 196*h**3 + 1324*h**2 - 1976*h - 1344 = 0. What is h?\nAnswer: -1\/2, 3, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/13, 0.1, -11\/169?\nAnswer: -11\/169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*r - 73*r + 45 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1\/6 (b) 0.02 (c) 5\/4 (d) -2\/7 (e) -2.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1749571*f**3 + 3504538*f**2 wrt f?\nAnswer: 10497426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136561566 and 13810?\nAnswer: 682807830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (332 - 311) + (-1 - 0)*-5. Solve 0 = 16*l + 38 + j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6314213 to the power of 1\/2, to the nearest integer?\nAnswer: 2513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 47 = -8. Let j(k) = -k - 3. Let r be j(-6). Suppose -3*f + 25 - 4 = -3*l, r*l + u = f. What is the smallest common multiple of 2 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 520 + 135*s**2 + 19*s**2 + 167*s**2 - 14*s**2 + 345*s**2 wrt s.\nAnswer: 1304*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*i = 43*i - 51198. Calculate the remainder when i is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -0.26241?\nAnswer: 37.73759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y = 465 - 689 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -33*x - 39*x + 12*x**3 - 5*x**2 + 67*x - x**3. Let h(i) = -39*i**3 + 18*i**2 + 18*i. Give -5*h(a) - 18*z(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/6 (b) 0 (c) -0.7 (d) 11 (e) 5 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481901159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -149*u + 1. Let g be t(0). Put 47, 6, g in increasing order.\nAnswer: g, 6, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 803175053 to the power of 1\/3, to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5*q - q + 0 + 0*q.\nAnswer: 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5521, -21959, -49311, -87577?\n\"Answer: -5457*q**2 - 67*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-30))\/((-9)\/((-108)\/(-8)))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-50)\/4 + (-4)\/8. Let n = -17 - j. Is 729\/21 - n\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 2070.\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -576ab5?\nAnswer: 576abd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 573930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30030312 (base 6) in base 11?\nAnswer: 526a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g - 38. Let f be k(-4). Suppose f*r - 405 + 2305 = 0. What is r rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - -178. Let h = 223.99999818 - y. Round h to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 371.8 * 5199.\nAnswer: 1932988.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 13941000 to the nearest one hundred thousand.\nAnswer: 13900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.92 + -2.08. Let q = -2.99989 - o. Round q to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19, 115, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -535998 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -785 - -2360\/3. Let k(q) be the first derivative of 0*q - 2*q**2 + b*q**3 - 1. What is the second derivative of k(g) wrt g?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3088 - -3087.9. Let n = 3.3 - 3.8. Which is the second smallest value? (a) 1\/3 (b) n (c) r (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvmmvameammbmlmmmmvm. Give prob of sequence vb.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*d - 26 - 18 = 0, 2*i = 3*d + 23. Suppose -i*s + 6*s = 4. Let r = 6 - s. Calculate the greatest common divisor of 28 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n**2 + 7*n**2 - 70*n**2.\nAnswer: -75*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 4190 = 652. Is 59 a factor of ((-12)\/16)\/((-12)\/32) + f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1687*x**3 + 1 - 1688*x**3 - 1.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/133437961 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*b**4 - 2*b**4 + 2*b**4)*(1 + 2 - 4 + (2 - 6 + 2)*(1 + 2 - 2) + 0 + 3 - 1 + (-1 - 4 + 3)*(1 + 5 + 0)).\nAnswer: -130*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/24 and -11\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*i = -19, 3*b - 39 = 5*i - 2*i. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 11*m + 72. Let h be (-2)\/(2 - (-24)\/(-10)). Calculate the common denominator of 78\/m*h\/18 and 1\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 8:01 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2\/3 - 30*f + 575\/3.\nAnswer: -5*(f - 5)*(f + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -47 (b) -0.4 (c) -5 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2221 + -11002?\nAnswer: -21000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**3 - 30*k**2 + 1. Let c be b(-6). Let y be (-12)\/30 + (-1)\/(15\/(-36)). Solve -c = y*i + 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y**2 + 0*y**4 + 0*y**3 + 0*y + 0 - 2\/17*y**5.\nAnswer: -2*y**5\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785818.\nAnswer: 2, 11, 23, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*b = -12. Suppose -4*t + b*s = 16, 3*t = -5*s - 21 - 4. List the prime factors of 458\/8 - t\/(-20).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*s + 204911 = 2291*s - 32399 for s.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28004?\nAnswer: 2, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, y: 5, e: 1, w: 1, a: 3}. What is prob of picking 1 b and 1 a?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 225 + -215.5. Let x = -72 - -143\/2. Which is smaller: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190584672292680 minus 3?\nAnswer: -190584672292683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/5)\/(6\/75). Let j(z) = -z**2 - 11*z + 43. Is j(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -21*b + 1\/12*b**4 + 0 + 17\/2*b**3 + 11*b**2. Let w(m) be the first derivative of t(m). Let v(k) = 2*k**2. What is v(w(c))?\nAnswer: 8*c**2 + 408*c + 5202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 760 (base 13) to base 16\nAnswer: 4ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 6)*(-7*j + 7*j + 3*j**2) - 325*j + 19*j**2 + 325*j + (-j - 3*j + 2*j)*(-8*j + 6*j + 8*j) to the form q + u*j**2 + l*j and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - -64 - (-1 - -21).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, d: 2}. Give prob of picking 2 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 5*b - 18. Let m be (-68)\/7 + (-4)\/14. Let z be j(m). Calculate the highest common divisor of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-44)*-2)\/((-126)\/6).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -23709785?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (13 - 17\/(-34)*8)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**4 - 2*l**3 + 2*l - 1 = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02123 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {g: 2, c: 4, z: 5, l: 4, m: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23182\/(-282682) - (-6)\/57.\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -19\/10*j**6 + 0*j**5 + 0*j**2 + 13*j**4 + 26*j + 2 + 0*j**3. What is the third derivative of x(k) wrt k?\nAnswer: -1368*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -1363401.\nAnswer: -6817005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18259?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7 - 7 - 40*m + 14*m - m. Let c(w) = 2*w. What is d(c(y))?\nAnswer: -54*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.100662 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -1106453?\nAnswer: -1106451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-8) - 2\/4. Suppose -2*y = -4*h + z*y, 0 = -5*h - 2*y. Let j = -51 - -48. Sort h, 1, j in decreasing order.\nAnswer: 1, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*c + 24*c + 22*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*p**2 - 22*p**2 - 12*p**2)*(-3 - 6*p + 4 - 2).\nAnswer: 120*p**3 + 20*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -119*n**2 - 5*n - 10. Let m(f) = -361*f**2 - 16*f - 30. What is 19*l(i) - 6*m(i)?\nAnswer: -95*i**2 + i - 10","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (616 - 0)*2\/4. Let n = x - 474. Let y = -87 - n. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/sqrt(396) - (sqrt(114)\/sqrt(6) + 5).\nAnswer: -5 - 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**(-25)*n))\/n*n**(-15)*n*((n*n**(6\/7))\/n)\/n*n\/n**2 assuming n is positive.\nAnswer: n**(69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/3)*c*c*c*c\/((c*c**(-1\/4))\/c*c)*c**(5\/4)*c\/(c*c*c*c*(c\/(c*c*c**(2\/21)*c*c))\/c*c)*c*c)**(-2\/7) assuming c is positive.\nAnswer: c**(-97\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 4*v - 90 + 42, 4*g + 5*v - 59 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 398499?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 29. Let a(q) = -2*q - 5 + 9 - q. Let s be a(-3). Let b be h(s). Solve 20 = -4*v - 7*i + 3*i, 4*v - 5*i = b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 3\/4, -1.4, 2\/3, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 7:29 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3 + (-88)\/(-6). Suppose -5*o + l + 31 = 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 3. Let o(z) = z**3 - 2*z**2 + 1. Let n be o(x). Suppose n = -v - 4*v + 45. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 = 11*z - 142 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -36. Let x = i - -33. Let w = x - 21.9999989. What is w rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98730 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 14. Let i = -13 + y. Solve -i*d - 15 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*q + c = -23, -3*q + c = -59. Calculate the highest common divisor of q and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66*c**4 - 156*c wrt c?\nAnswer: -792*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 17 = -3*l + 2, 13 = a - 3*l. Solve w - g = -a, -2*g - 33 = 5*w - 0*g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 9 - 9 + (2 - 4 + 4)*(2*g - 4*g + g) - 2*g - g + g + (4*g + 5*g - g)*(2 - 2 - 2) as p*g + d and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35002*c**2 + 11635*c**2 + 11782*c**2 + 12197*c**2.\nAnswer: 612*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 422864135 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -82268, -329069, -740406, -1316279, -2056688, -2961633, -4031114?\n\"Answer: -82268*x**2 + 3*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-52281.\nAnswer: 261405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 564915?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 3*u - u)*(221 - 177 - 138) + (-u - 1 + 1)*(-2 + 5 - 1).\nAnswer: -190*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5383*k - 5372*k + 5*x = 59, 4*k = -5*x + 31 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/6 + 1\/(-3). Suppose -o = j*o + 5*b - 33, 3*b = -3*o + 24. Suppose 4*w + o = -13. Sort 5, -2, w in decreasing order.\nAnswer: 5, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-24)\/(-126))\/(9\/(-126))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1\/7, 0.14?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + (1 - (3 - 0)). Let o(g) = 24 + 2*g - 6 - w - 8. Determine o(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 2\/9*i**2 - 2\/15*i**5 - 1\/27*i**6 + 2\/9*i**3 - 1\/18*i**4 + 155 + 0*i. Solve r(m) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*n**2 - 23 + 36 - 14 as f + p*n**2 + a*n and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 14 (b) 21 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3336201 and 0.4.\nAnswer: -3336200.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -4.95.\nAnswer: -9.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -82*m**2 + 1427 + 3*m**3 - 278*m**2 + 769 - 524*m + 140*m - 3*m**2.\nAnswer: 3*(m - 122)*(m - 2)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2103 divided by -584.\nAnswer: -2103\/584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 6*w + 12. What is h(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.5, 0.08 in decreasing order.\nAnswer: 3, 0.08, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-9 - (-6 - (-11 + 9)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f - 1. Let u be t(1). Let v = 258 - 257.9. Let j be 468\/(-630) + (-3)\/(-5). Which is the closest to v? (a) u (b) j (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 5*c - 10*c + 6, -26 = -5*g - 3*c. Let d be (-1)\/(-4) + 38\/8. Let y(a) = g*a - a - d*a + 0*a. Let t(m) = 10*m. Give t(y(v)).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**4\/4 + 8*j**3\/3 - 5*j**2 - 16*j + 8. Let w be b(-9). Let u(m) = m**3 + 6*m**2 - 6*m + 2. Calculate u(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 7 + 1 - 2. Let s be h(6). Put 3, s, -0.9 in decreasing order.\nAnswer: 3, s, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146333.\nAnswer: 11, 53, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -36*(4 + 56\/(-12)). Which is the closest to -1? (a) n (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -19 and -3\/65 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 14*o + 361. Let g be n(-23). Solve -11*s + 24*s = g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z - z + 0*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11671094 divided by 79939.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(21\/(-15)))\/(6\/21)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 9*b + 14. Let g be y(-10). Let k = g + -21. Solve 0 = -4*q + k*d - 9 - 4, 3*q - 5*d + 18 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from qqqlqqqqql.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + -11 + (17 - 12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.804112236 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 4:15 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**4\/24 - x**3\/6 - 101*x**2 + 2. Let l(p) = 9*p - 12. Give -6*f(u) - l(u).\nAnswer: -3*u + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 24*b - 22. Let w(g) = g - 1. Let d be (-48)\/27 - (-4)\/(-18). Let m(u) = d*l(u) + 44*w(u). Let i(y) = -2*y. Calculate m(i(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 49*w**2 - 88*w + 137. What is the hundreds digit of h(46)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3321140 a multiple of 1015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(1 + -3) - 30\/15. Suppose -223 = -4*f - 5*r, 5*r + 149 = -q*f + 2*f. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/1334 (b) -29 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 3 + -63 + -10 + 23?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 246*c**2 + 12*c + 174. Let w(s) = -124*s**2 - 7*s - 88. Let l(o) = -4*j(o) - 7*w(o). What is the second derivative of l(y) wrt y?\nAnswer: -232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*a + 31*a = -3*q, 0 = q - 4*a - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -67389 - -0.176?\nAnswer: -67388.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -57, -111, -191, -297, -429, -587, -771?\n\"Answer: -13*z**2 - 15*z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*a + 53, -5*p - 4*a = -3*a - 65. Suppose 3 = -2*w - 3*t + 2, -5*w = -t - 23. Solve -w*k = q + 12, q + p = -0*q - 5*k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.8829 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-482)\/(-18) - (-2)\/9. Let j(i) = -i + 7. Suppose 5*g - 20 = 0, 0 = o + 2*o - g - 8. Let f be j(o). Solve -f*d + 3*n = -c, -d - 2 = -2*n - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 631086 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 5. Let w(v) = -v**2 + 8*v + 5. Let p be (1 + -4)\/((-7)\/21). Let u be w(p). Determine x(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7306 (base 8) to base 10\nAnswer: -3782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*m - 35, 0*b + m - 18 = -3*b. Let h(v) = 3*v - 10. Let l be h(b). Solve 3*w + 8 = 5*z - 15, 0 = l*w + 2*z - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 - (-7 - (-3 + -40) - 19)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s - 4 + 4)*(-3 + 1 + 3) + 3*s + 6 - 6 - s - 10*s - 5*s + (0*s + s + s)*(-3 + 1 + 1) - 6*s + 4*s + 13*s to i + a*s and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 3*l + 3*l)*(-4*l + 2*l**3 + 4*l).\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 5245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 20 - 3 - 5)*(141*x**4 - 5*x**4 - 42*x**4) in the form h*x + l*x**3 + i*x**2 + o + m*x**4 and give m.\nAnswer: -1692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 29 = 3*g, -5*i + 3*i + 5*g = -21. Let o = 38 + -24. What is the lowest common multiple of o and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1663501 and 20825?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408064387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2434002.\nAnswer: 2, 3, 405667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o = -4*o - 10640. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*-8227.\nAnswer: 230356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 + 50*a + 7*a**3 - 12*a - 17*a + 59*a in the form o*a + s + h*a**2 + v*a**3 and give o.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 3) + (1 - 0). Suppose -a - 8 + u = 0. Let m(q) = -15*q - 11. Let z(w) = -8*w - 6. Calculate a*m(s) + 11*z(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7c4 - -35?\nAnswer: 7f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 6) + -4 + (3 + 0 - 3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-22 + 11 + 11284)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 8 - 41. Let y = -6 + v. Suppose -y*m = -185 + 60. Calculate the remainder when m is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -20*p**3 - 2*p**2 - p. Let i be 1 - (-9)\/(-3) - -1. Is n(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84040 = 768*x - 1392*x - 1477*x for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 2:20 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.16 and -2418679?\nAnswer: 2418679.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 672964952?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -498168.2 and 0.12?\nAnswer: -59780.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19694.46 kilometers in nanometers?\nAnswer: 19694460000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*p + 21*p - 44*p + 21*p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-2))\/(1 + (-80)\/82). Let a = p + -244. Find v, given that -6*v**4 - 13\/3*v**3 + 2\/3*v + 0 + 7\/3*v**a = 0.\nAnswer: -1, -2\/9, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m*m**(-1))\/m*m*m)**(-7)\/(m*m\/((m**(-1)*m)\/m)*m*m*m*m\/(m*m**12)))**(-1\/30) assuming m is positive.\nAnswer: sqrt(m)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 26 = -2*u, -198*v = -200*v - 2*u + 18 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(2 + 332\/(-160)). Let h = -54 + y. What is the lowest common multiple of 6\/15 - (-8)\/5 and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -143, -215, -287?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-147)\/(-14))\/((-3)\/(-922)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**5\/30 - 3*l**2. Let m(b) = -51*b**2. Determine m(v(g)).\nAnswer: -204*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-29))**(-6\/5)*(t\/t**(-4\/7))\/t*t**(-4\/25) assuming t is positive.\nAnswer: t**(-6228\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -34 (b) 9 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 - 54\/(-6) - -16. Calculate the highest common factor of p and 2464.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - v + 0*v. Let b(o) = -3*o. Calculate u(b(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532021 is divided by 5960.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -852582*j**2*k**2 + 22*j**2 + 2*j*k**2 + j + 18098 wrt k?\nAnswer: -1705164*j**2*k + 4*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/6)\/((-26)\/(-897)). Let w be (4\/(-2))\/(-1) + 57. Let c = w - u. Calculate the highest common divisor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**8\/1008 - r**7\/84 - r**6\/16 - 21*r**5\/20 + 2*r**2 - 12. Let w(y) be the third derivative of b(y). Solve w(v) = 0.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5196.70318 to the nearest ten.\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -651*w**4 + 381*w wrt w?\nAnswer: -7812*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259*a - 259*a + 532*a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.1 + 4.6. Put t, -0.1, -1\/3 in ascending order.\nAnswer: -1\/3, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43 - -24?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 91*d**5\/10 - d**4\/12 + 37*d**2\/2 - 236*d. Find the third derivative of p(u) wrt u.\nAnswer: 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30303 - 30608.11. Let m = -305 - y. Which is the nearest to m? (a) -0.2 (b) 0 (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 6:19 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, 4, -3 in increasing order.\nAnswer: -7, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 11 = 21. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4325353 and 1041407.\nAnswer: 6389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**2 - 12*j - 14. Let t be (-12)\/(-9) - 1 - 28\/3. Let i(n) = -16*n**2 + 50*n + 57. Let d(c) = t*a(c) - 2*i(c). Let d(x) = 0. What is x?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14858 divided by 23.\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 + -32. Suppose n = -l - 5, n - 6*n = 25. Suppose 3*s + l*s - 21 = -v, -2*s = -2*v + 26. What is the remainder when r is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -12*z**2 + 120*z + 8. Let i(u) = -19 + 3 + 10 + 40*u - 4*u**2 + 9. Let r(s) = -8*i(s) + 3*n(s). Let r(o) = 0. What is o?\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 162*f - 31. Is j(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -49\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00472859 rounded to 5 decimal places?\nAnswer: -0.00473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -4.95. Let n = i - 0.02. Let k = 4.93 - n. Which is the nearest to 1\/2? (a) 0.5 (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, m: 1, u: 1, g: 1, d: 1}. Give prob of sequence ug.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33291 is divided by 8319?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -33*a + 48. Let l(c) = 17*c - 31. Give 5*l(q) + 2*s(q).\nAnswer: 19*q - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 15 = -4*q. Suppose 0 = -3*g + 6, -4*f + 4*g = 6 - 30. Is q less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**8\/48 + z**5\/6 + 35*z**2\/2 + 3*z. Let u(r) be the first derivative of o(r). What is the third derivative of u(p) wrt p?\nAnswer: 420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4066321 is divided by 523?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(27) + (sqrt(24)\/(-4*sqrt(8)) - sqrt(3)).\nAnswer: 2 + 7*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-6)\/(-20) - (-20 + 20)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17934389 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 220332300 (base 4) in base 3?\nAnswer: 22112020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1130, 2286, 3442, 4598, 5754?\nAnswer: 6910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 2\/7 (b) 6\/11 (c) -4 (d) 1\/3 (e) -344\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**2*x**3 + 24*q*x**3 + 3*x**3 - 12 wrt q.\nAnswer: 4*q*x**3 + 24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3540\/(-42) - 4\/(-14). Let z = -53 - s. Calculate the remainder when z is divided by ((-30)\/8 + 1)*-4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2 - 52*f = 0. Calculate f.\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12100 + 2?\nAnswer: -12032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6297 (base 10) in base 11?\nAnswer: -4805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14650 (base 9) to base 13.\nAnswer: -472b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 8*x - 61478 = -2*s, -3*x = 2*s - 36890. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 10:53 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t + 519 = -47*t - 84*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5599602 - -1.56. What is m rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2630 divided by -17883\nAnswer: 2630\/17883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2878944 != -2878944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 11. What is the nearest to l in -0.4, -3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*h - 101, h = 3*u - 3 - 24. Let n be -38*(h\/(-6))\/(-7). Suppose -n + 57 = 2*x. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 2. Suppose -4*o = -s - 3*s + 28, 3*s - v*o = 27. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*z + 1856, 752 = 2*a - 3*z + 5*z. Let o = a + -337. What is the smallest common multiple of o and 30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44625 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 6*h**2 - 4*h - 1. Determine n(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (616\/(-165))\/14*25\/10?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/(-25))\/((-1)\/5). Let c be (-58314)\/20 - (1 + u). Let r = 2918 + c. Find the common denominator of r and -63\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 271\/3, -0.5, 0.05?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 16, t: 2}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 33*f + 75. What is the tens digit of m(23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*t + 1278, 5*c - 1695 = 19*t - 23*t. Calculate the greatest common divisor of t and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 10:25 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 91*c**3 + c**2 + 15*c - 16. Give d(1).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**3\/3 - 4*s + 13. What is the remainder when 79 is divided by f(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16208, -32481, -48754, -65027, -81300, -97573?\n\"Answer: -16273*u + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*n - 27*n - 2 + 2.\nAnswer: 44*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -47 - ((4 - 109) + 31).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6272*v - 1167. Is q(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18392\/(-20216) - (-100)\/(-525)*(-9)\/2\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3662 greater than 1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 5:37 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 t when four letters picked without replacement from ttttxtttttttttxxtt.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -11 + 26. Suppose -2*b = -2*a, 0*b - a = -g*b + 2. Suppose 5*c - 21 = -b. Solve -3*r - 17 = -2*r + 5*l, -c*r + l - 5 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -9*d**2 + 510*d + 390. Give k(57).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 + 10. Let i be (-4)\/16 + b\/8. Let u = i - -4. Solve -o - o + 10 = u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -9*w**4\/4 - 7*w**2\/2 - 7*w + 65. Let q(f) = 4*f**3 + 3*f + 3. Let k = 3 - 0. What is k*u(p) + 7*q(p)?\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 13391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**3 + 965*j**2 + 55040*j + 776580 = 0. Calculate j.\nAnswer: -86, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)\/(s*s\/(s*s**(-4\/5))))**31*(s*s\/(s*s*s**(1\/4)*s))\/s**3*(s\/(s*(s\/((s\/(s\/s**1))\/s))\/s))**(2\/47) assuming s is positive.\nAnswer: s**(-3681\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -64334138 times 2?\nAnswer: -128668276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -611, -1416, -2211, -2996, -3771, -4536, -5291?\n\"Answer: 5*y**2 - 820*y + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**4 + 11899635*f**3 - 71397690*f**2 + 142795300*f - 95196840 = 0.\nAnswer: 2, 2379921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39867?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 285 = 3*y, -3*n = 2*y - 7*n - 190. Let f(z) = 9*z**3 + 3*z**2 + 2*z + 2. Let h be f(-2). Let v = y + h. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -239*g**4 + 8*g**3 + 150*g**2 - 3*g - 1 wrt g.\nAnswer: -5736*g + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2. Suppose -2*z + 2*y + 4 = -10, 0 = -3*z - y + 13. Let p(b) = -7*b + 5. Let h(v) = 6*v - 4. Let x(w) = z*h(w) + 4*p(w). Determine m(x(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 822, 1626, 2430, 3234, 4038, 4842?\nAnswer: 5646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by -650.\nAnswer: -47\/650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 11*k + 25. Let d be (66\/55)\/(4\/30). Let n be b(d). Solve t - n = -2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -l + 53, -4*l - u = -176 + 153 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3952 + 1340?\nAnswer: 5092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64 + -34 - -4) + -4.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1908828601 to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (301\/129)\/((-14)\/(-12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0909 + -135.0909. Let w = -135.5 - b. Sort -2, w, 1.4 in decreasing order.\nAnswer: 1.4, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 13*k - 33 = 0. Calculate the highest common divisor of k and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268 = -108*v + 56 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608865?\nAnswer: 3, 5, 40591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, 1, -0.5, -3 in ascending order.\nAnswer: -3, -0.5, 1, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -6 - 9) + (-22 - -7 - -10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/5100 and 39\/122.\nAnswer: 311100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/((sqrt(2) - (sqrt(6)\/sqrt(3) + sqrt(2)))*4)*-5.\nAnswer: 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3 + 3*l - l + 2*l - 3*l. What is k(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htffhthhhththff. Give prob of sequence tth.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 + 357*o + 9459. What is p(-40)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 10:10 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2 + 2*q. Suppose -3*i - 4 - 15 = -5*w, 3*w + 6 = -4*i. Give t(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3505531 (base 6) to base 8\nAnswer: 537637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((9\/(-12))\/3). Suppose 6*p = 4*p + v. Solve 3*t = p*q + 1, -2*q - 7 = 4*t - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, l: 1, t: 2, b: 3, r: 4}. Give prob of picking 2 b.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 13*a - 87. Let n be d(18). Suppose -3*k - j = -2*k - 22, -4*k + n*j + 67 = 0. Solve -5*i - 1 - k = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 187092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -20. Solve 0*s + s + 6 = -4*z, 4 = c*s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193304214.\nAnswer: 2, 3, 19, 389, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 0*a + 175. Let x(d) = 107*d**2 + 3 + 31*d - a*d + 9. Is x(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 199364887.\nAnswer: 199364888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**4 - 180*c**3 - 1252*c**2 - 2556*c - 1480 = 0. What is c?\nAnswer: -37, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43307 and 8184?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 4*w + 3. Let c(d) be the first derivative of d**3\/3 - 3*d**2 + 5*d + 1. Let b be c(6). What is the units digit of y(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**1 assuming p is positive.\nAnswer: 1\/p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 8. Let t be x(9). Is (8 - 7)*t*36293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 308 and -1*7 + (8120\/10)\/4.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 6*o - 2. Let f be b(-4). What are the prime factors of 70*(90\/27)\/(4\/f)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/3 + 6599*a**2 - 13199*a + 19799\/3.\nAnswer: (a - 1)**2*(a + 19799)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifty-five quarters of a second?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*v + 17. Let q = 13 + v. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104 - (2 - 1 - 0).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j - 7. Let p(l) = -33*l + 789. Let q be p(24). Give t(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.6? (a) -1\/8 (b) 0.1 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 2*k**3\/3 - 2*k**2 + 3*k + 6. Calculate r(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2765)\/(-1185))\/(7\/(-108)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f + 5*f)*(-f + f + f)*(-f**2 + 0*f**2 - f**2).\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/18 - (-25)\/2. Suppose 4*n - 5 = t. Suppose 4 = -m, -5*m - 35 - 25 = -n*o. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y = y + p, 4*y = p. Is y greater than 6\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148906, -297885, -446862, -595837, -744810, -893781?\nAnswer: -1042750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 353, 529, 705?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2945 + -73623\/25. Which is smaller: -9\/26 or d?\nAnswer: -9\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 236 - 167 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 - 17 + 17 in the form z*d + h*d**2 + g and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 136, 1 in decreasing order.\nAnswer: 136, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 3*h - 6. Let f be r(-5). Suppose 0 = f*b - 10*b + 1146. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 + 2.3. Let v = 4 - t. Suppose 0*i = -3*i + 15. Put i, v, -3 in increasing order.\nAnswer: -3, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32503674?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + g - 432 = 0. Suppose 3*x - g = -4*z + 2*x, 0 = 4*x. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.655 + 15.865. Which is the nearest to 3? (a) -1 (b) -11 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -71.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124 - -109. Suppose -3*a = -10 - 23. Let c = a + n. Is c greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 11*s - 15*s + 57, s = 3*v + 23 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o. Let n(s) = -7*s**2 - 2. Calculate n(x(y)).\nAnswer: -28*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p**2 - 41*p - 49. Let n be z(8). Solve 42*m + 105 = n*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -5024835.\nAnswer: -2009934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743854129?\nAnswer: 29, 31, 1939771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.498 + 16.498. Sort 0, 2\/5, u, -0.3, -10 in increasing order.\nAnswer: -10, -0.3, 0, 2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8511, 8529, 8551, 8577, 8607, 8641, 8679?\n\"Answer: 2*y**2 + 12*y + 8497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 22, 47, 80?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 3*h + 1. Let y be (6\/(-5))\/((-3)\/(-10)). Let d be w(y). Find the third derivative of -v**5 + 3*v**5 - v**d + 2*v**2 wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1502*y + 68*y + 639 = -2229 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 71131 + -2?\nAnswer: 71129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3253 = j + 4*f, 4*f + 1412 = -2*j + 7890. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27353*x - 27286*x - 27301*x - 27343*x + 136508*x - 27349*x.\nAnswer: -124*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.458 + -201.542. Let y = l + 201.19. Let k = -1.35 - y. What is k rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 6. Let h be (-1 + (-4 - -4))\/(r + 2). Let c be -5 + 3 - (61999\/1 + h). What is c rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*36447.\nAnswer: 1457.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 1)*(2 + f - 2) + (f + 0*f + f)*(-5 - 5 + 4))*(2 - 4 + 0).\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1535, -3061, -4587?\nAnswer: -6113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 932a40 (base 13) in base 15?\nAnswer: 47c4c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/40 and -25\/1248.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4 - -26 - (8 - (20 + -5))) + -7\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 1, z: 1, i: 2, e: 2}. What is prob of picking 1 i, 1 z, and 1 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 2108692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 42736*n. Let u(z) = -3*z**2. What is c(u(r))?\nAnswer: -9*r**4 - 128208*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -863*k**7\/105 + 259*k**3\/6 + 490*k**2. What is the derivative of b(q) wrt q?\nAnswer: -6904*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b - 5 + 5)*(2 + 1 - 6)*(-4 - 1 + 4)*(3 + 0 - 1) to the form q + g*b and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 218423941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 270457372*j**4 + 44*j**2 - 3521981*j wrt j.\nAnswer: 6490976928*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411923?\nAnswer: 411923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - c1e?\nAnswer: -c24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26469341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -50*c**3 - 92*c**2 - 20*c + 4. Let v(g) = -3*g**3 - 2*g**2 - g + 1. Let o(n) = p(n) - 4*v(n). Factor o(s).\nAnswer: -2*s*(s + 2)*(19*s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6264*q + 25288*q + 10176*q + 3418*q.\nAnswer: 32618*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 32*i = 102. Solve i*t + 2 = 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, v: 5, j: 4}. Give prob of sequence jnn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53782 is divided by 689?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1 - 1 - o - 4. Let u be h(0). Let i(g) = g**3 + 3 + 0*g**2 + 5*g**2 - 2*g + 7*g. Determine i(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015114 to five decimal places.\nAnswer: 0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*i + 393 - 856 = 573 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2\/3 (b) 1 (c) -92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, 1, 42?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*o + 3*h - 2*h, -5*o = 2*h - 6. Suppose -u + o*u = -5*m, -3*u = -4*m. Let w = 20 - 18. Solve m = -w*b + 7*b - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.19 (b) 0.4 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 413*l - 252*l + 1071*l**4 - 1010*l - 1942*l - 476*l wrt l?\nAnswer: 12852*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*3\/(-6)*98\/(-49).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 7461, -0.8, 0.3, 207, -2 in decreasing order.\nAnswer: 7461, 207, 0.5, 0.3, -0.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0707 + -291.0707. Let c = -291.00000927 - w. What is c rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/28026 and 49\/31140.\nAnswer: 280260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3002, -3085, -3176, -3281, -3406, -3557, -3740, -3961?\n\"Answer: -u**3 + 2*u**2 - 82*u - 2921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 376\/6580 + (-519)\/(-105). Let w = -2 + -1. What is the nearest to t in 2, w, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.411 at least 2\/78727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -655701 >= -655700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 - 2*w**2 - w. Let j(y) = -318*y**3 + 12*y**2 + 4*y + 1. Give -j(b) - 6*v(b).\nAnswer: 330*b**3 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + p + 197 - 855)*(2*p**2 - 2 + 2 + (4*p + 0*p - 5*p)*(p + p - p)) to the form a*p**2 + z*p**3 + t + c*p and give a.\nAnswer: -652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34143 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -5987 = -86\/121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 7:25 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 960ab (base 12) in base 6?\nAnswer: 4120335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.794 rounded to 1 dp?\nAnswer: 9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 10*f**2 + 5*f + 8. Let o be l(-9). Let k = o - -102. Do -17 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-7.5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**4\/12 + p**3\/6 - 7*p**2\/2 - 8*p. Calculate x(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -242 - 2?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 12*x - 4. Let f be l(2). Suppose 2*y - 5*s + 3*s - f = 0, -3*s = 0. Suppose 11*v - 2640 = -13*v. What is the highest common factor of v and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/40 + (-1 - (3 - 0))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147937 divided by -121.\nAnswer: 147937\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1521 divide 1277468127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2. Let y(q) = 9*q**2 + 11*q**2 + 13*q**2 - 28*q**2. What is h(y(x))?\nAnswer: -50*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 92, 126, 166, 212?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*((-10)\/6)\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**(-34))**5*(g\/((g**(9\/4)*g)\/g))\/g*g*g\/(g*g\/g**(-40)) assuming g is positive.\nAnswer: g**(-789\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u - 5. Let p be d(2). Let c = -66.7 + 53. Let a = 14 + c. Sort a, 0.4, p in descending order.\nAnswer: p, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-14))\/(52\/182)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 6*w - 9*w**2 + w**3 - 3 + 3*w**2. Give f(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4}. Give prob of picking 4 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2698911 by 6.\nAnswer: -899637\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73*g*i*j**3 - 3*g*i - g*j + 426*i*j**3 wrt g.\nAnswer: 73*i*j**3 - 3*i - j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -407*r**4 + 213*r**2 wrt r?\nAnswer: -9768*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*v**3 + 88*v**3 - 753*v**3 + 342*v**3.\nAnswer: 33*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from {q: 8, o: 3, m: 4, y: 2, x: 2}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-80))\/(10\/(-24))*(-4)\/(-13)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 116*p**4 - 20*p**4 + 139 + 111 + 121*p**4 - 28 wrt p?\nAnswer: 868*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/5*(-4 - 1). Suppose 2*w + q = 3*w. Let x(p) be the second derivative of p**3\/6 - 3*p**2\/2 - 78*p. Calculate x(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + m**2 + 1. Let i(r) = 6*r**3 - 2*r**2 - r - 2. Give -2*g(w) - i(w).\nAnswer: -4*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 3*z**2 - z**2)*(482*z + 477*z - 975*z - 61).\nAnswer: -16*z**3 - 61*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 14*d**2 + 12*d - 14. Let a be m(-13). Let h(w) = 154*w**2 - w. Is h(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/1044 and 79\/348.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o, -5*o + 4 = 2*i - o. Suppose -5*p + 20 = -135. Suppose i*z - p = 17. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s - 2*s)*(0*s**2 - 2*s**2 + 4*s**2) + 195*s - 3*s**3 + 2*s**3 - 258*s + 3*s + s**3 - 3*s.\nAnswer: -4*s**3 - 63*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134644 (base 7) to base 11.\nAnswer: -18351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*q + 47 = -7, -5*q = -3*s + 30. Let n(r) = -r**2 - r + 6. Let m be n(0). What is the highest common factor of m and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2700*j + 1662 wrt j.\nAnswer: -2700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b = 2*s + 8, 4*s + 16 = b. Suppose 3*p - 10776 = -b*p. Let l = p + -5592. What is l rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3123.\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-20) - (-38)\/(-56).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -45 + -1187625.5464\nAnswer: -1187670.5464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 5*m**2 + 2*m - 7. Let n be b(5). Suppose 164 = 2*t - 2*p, -88 = -t - n*p + 7*p. Is 22 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u**3 - 4200*u**2 + 7*u + 1001. Let i(n) = -3*n**3 + 2100*n**2 - 4*n - 546. Calculate 6*d(h) + 11*i(h).\nAnswer: 3*h**3 - 2100*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*8\/60*-6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 29978 and 3387436\/113 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 157 + -1279\/8. Let r = y - -61\/24. Which is the fourth smallest value? (a) 1\/4 (b) -3.5 (c) 0.3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -5*g**8\/168 - 11*g**4\/24 + 14*g**2. What is the second derivative of m(d) wrt d?\nAnswer: -200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 365*o**2 + 458*o - 236*o - 222*o to the form k*o + m + l*o**2 and give l.\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 11940 = -3*q, -4*q - 6443 - 5495 = -b. Suppose -12*v + b = -6*v. Let h = v + -580. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7192?\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**4\/6 + 7*i**3\/6 - 3*i**2. Let x(f) = -2*f - 3. What is -4*p(s) - 9*x(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22928 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 4*r + 24, 5*f - 20 = 5*r + 15. Let c(m) = 2*m**2 - 5*m + 6. Let s(j) = 5*j**2 - 107234 - 14*j + 214423 - 107172. Calculate f*s(i) - 11*c(i).\nAnswer: -2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -29 + 21 + -22 + 11 + -2 + -8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -899*c**2 + 376 - 918*c**2 + 1813*c**2 as x*c + p + w*c**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by -40116.\nAnswer: 20\/10029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by 72.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*j - 177, -7*a + 2*a + 118 = 2*j. What are the prime factors of j?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.464098 kilometers?\nAnswer: 5464098000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2714.7 + -2446. Let x = -268 + s. What is the biggest value in 2, -3, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 73568, 147156, 220756, 294374, 368016, 441688?\n\"Answer: w**3 + 73581*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (13 + (25 - 19))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*208121.\nAnswer: -20812.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*1*(-2)\/(-1). Suppose -21*u + u = 0. Suppose u = -i*v + 326 - 78. List the prime factors of v.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + 2*k**3 - 2*k**3 + (-2*k + k**2 + 2*k)*(2*k - 6*k + 5*k))*(-k - 2*k + 0*k)*(4 + 0 - 2).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srr when three letters picked without replacement from {f: 6, s: 2, z: 1, d: 5, r: 3}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2109 = -3*u, 0 = -34*u + 31*u + 5*s + 2105. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = -20*u + 4*z - 2, 3*z = -u. Let l(t) be the first derivative of 0*t - 1\/6*t**4 + 7 - 2\/45*t**5 - 2\/9*t**u - 1\/9*t**2. Factor l(o).\nAnswer: -2*o*(o + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 4*i - 26, -78*k + 83*k - 4*i = -47 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 430819.8 nanometers to meters.\nAnswer: 0.0004308198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 1 + (-5)\/7. Let n = s - 57\/28. Solve -1\/4 + 3\/4*o - 3\/4*o**2 + n*o**3 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(3\/(24\/20))*2\/(-4)*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42223.\nAnswer: 42223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrt when three letters picked without replacement from rctdq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((l*l**(-2)*l)\/l)))**(7\/5))**(3\/28) assuming l is positive.\nAnswer: l**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 81318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*(2 + sqrt(208) + 1 - sqrt(208)))**2*1 + (6*(sqrt(208) + sqrt(208)*1)*-1*-4)**2.\nAnswer: 479243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 19 = 5*b + 18, b = -4*n + 7. Suppose -112 = -2*f - 344. Let u = 118 + f. Solve -u*v + n + 1 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 - (-594)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n**3 + 746*n**2 - 992*n + 945. Determine p(123).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/20 - 852\/(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 672*i**2 + 7*i - 5*i - 685*i**2 - 6*i - 2. Give h(-3).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/100 - 13\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-20969\nAnswer: 83876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, p: 4}. Give prob of sequence tt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - 21*t**2 - t**2)*((0 + 1 - 2)*(-t - 3*t + 2*t) - 1 + 1 + 2*t + 3*t + 3*t - 2*t + (-2*t + 2*t - 2*t)*(-3 + 1 + 0)).\nAnswer: -288*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1110779110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6630, -13160, -19690?\nAnswer: -26220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - -9 - -63) + -8. What is the highest common factor of 940 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036018317 + -0.0621562?\nAnswer: -0.098174517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*t + 1969345 = -104*t. What is the ten thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(8\/15)*(-17 + (-1470)\/(-90)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -930, -1886, -2836, -3780, -4718, -5650?\n\"Answer: 3*i**2 - 965*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 6:56 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000369997 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 9:51 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*t - 19, -42*t - 3*o = -38*t - 29. Solve 5*q + t*n = -7 - 13, -3*q - 2*n = 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -19\/10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/73))**49\/(l**27*l*l*l**10) assuming l is positive.\nAnswer: l**(828\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 714756 (base 13) to base 3.\nAnswer: 11222000011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 23. Let l(d) = 8. Let n(u) = -6*a(u) + 17*l(u). Let c be n(-1). Solve z = -i - 3, 0*z - i = -c*z - 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**3 + 1\/3*m**4 + 1\/20*m**5 + 0 - 3*m**2 + m. Suppose -10 = 2*a - 0*a. Calculate o(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 13. Let x(z) = -13*z**2. What is x(y(f))?\nAnswer: -13*f**2 + 338*f - 2197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 11 = -5*z, 10 = -3*a - 5*z - 36 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(176) + -1 + 4 - sqrt(176) - sqrt(176)) + 0))**2.\nAnswer: -384*sqrt(11) + 2960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(-6*sqrt(10)*3 + sqrt(10)).\nAnswer: -sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + -3 + -4*(sqrt(1216) + (sqrt(1216) - (-1 + sqrt(1216)))))*-4.\nAnswer: 120 + 768*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61781657 divided by -22057.\nAnswer: 2801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -333 divided by 111\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 25, 4*y - 26 = -0*u - u. Let p(i) = -i**3 + 3*i**2 + 19*i + 12. Calculate the remainder when 69 is divided by p(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10592 divided by -2648?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4823749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(6\/5))**(-7\/6)\/(p\/(p**34\/p)*p*p\/(p**(-18)\/p)) assuming p is positive.\nAnswer: p**(253\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -0.1, 3 in descending order.\nAnswer: 4, 3, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 866\/(-5196)*18*1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4000 and (12 - 15) + -6 + 13.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7407085212593\/1274520 - -249901766\/43. Let a = l + 3\/2470. Calculate the common denominator of a and 113\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 16 = 0, -q = z - 6*z + 19. Suppose -55779 = -0*h - z*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 71 - 2*1\/(-2). Suppose v = 4*j - 1 + 39, -4*v - 4*j = -o. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 8*t**2 + 9*t - 14. Let n be x(-6). Suppose 5*z + 4*v - 74 = 0, -n*v = -2*v - 2. Calculate the remainder when 25 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 18*b + 198 = 24, -4*q - 2*b - 6 = 0. Suppose 33\/7*n**2 + 32\/7*n + 44\/7*n**4 - 113\/7*n**q + 4\/7 = 0. What is n?\nAnswer: -1\/4, -2\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0750069 millilitres to litres.\nAnswer: 0.0000750069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 56880 = 2*g, 42*g - 18960 = -n + 37*g. List the prime factors of n.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 6. Let z = b + 1. Let d = z + 15. What is the remainder when d is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000827684 rounded to seven dps?\nAnswer: -0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -81\/2*j**2 - 13\/5*j**5 + 1\/2*j**4 + 0*j + 0*j**3 + 115. Find the second derivative of i(b) wrt b.\nAnswer: -156*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159184 divided by -65.\nAnswer: 159184\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - d + 31 = 4*d, 2*r + 3*d - 33 = 0. Suppose -2*v + 0*v + r = -2*o, -2*o = 5*v - 66. Suppose -5*q + v = -2*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(88) - sqrt(88))\/sqrt(8) - -1*-5*sqrt(99).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-501)\/334)\/((-42)\/180)?\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45293\/3 or 15099?\nAnswer: 15099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 39*r**2 + 98*r - 65. Does 19 divide l(44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**6\/2 + 9*j**5\/5 - 9*j**4\/4 + j**3 - 50. Factor v(c).\nAnswer: -3*c**2*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -3\/4, -3, 0.19, -289.\nAnswer: -289, -3, -3\/4, 0.19, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*w = -11, -4*u - 11 = -5*u + 2*w. Let n(f) = 2 + u + 2*f + 20*f**2 - 4 + f. Let m be n(-3). What is m rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3153 = 9*k + 28086. Let a = 20705\/6 + k. Let c = -163975\/12 + 13656. Find the common denominator of c and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*q**2 + 3648*q - 3648*q.\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4\/13)\/h**(-1\/2)*(h\/(h*(h\/(h\/(h\/h**(4\/7)))*h)\/h))\/h**13 assuming h is positive.\nAnswer: h**(-2409\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25615782*l + 76707864 wrt l.\nAnswer: -25615782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*r + 38*r + 7460176 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -123, -206, -289, -372, -455, -538?\n\"Answer: -83*v - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/10475696 and -61\/24879778.\nAnswer: 199038224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 6*r**2 - 6*r + 9. Let v be q(-7). Let k = v + 3. Solve t + 4*t = -2*y + 10, 0 = -k*t - 3*y + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10796 + 225824 = -3982*c for c.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 55.78. Let r = n + -0.12. Which is smaller: r or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5514815903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/172140 and -47\/556.\nAnswer: 23927460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11 + -1)*35\/14. Let h = v - -96. Let u be (1\/(-21))\/((-77)\/h). Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -818, -1197, -1576, -1955, -2334?\n\"Answer: -379*b - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 245.6522 from 19160.3318.\nAnswer: 18914.6796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1085 - 546. Let n = 544 - s. Put n, 12, -2, -4 in descending order.\nAnswer: 12, n, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*z, 2*z = -2*i + 14 + 4. Differentiate 115*u**4 - 9*u**3 + 9*u**3 - 127 - 299*u**i with respect to u.\nAnswer: -736*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -14. Let m = v + 41. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6775311um to kilometers.\nAnswer: 0.0000000006775311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26569195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1040\/3328)\/((-1)\/4))\/((-250)\/32*2)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 + 6*r + 6. Let o(w) = w**2 + 3*w + 3. Let q(p) = -2*c(p) + 5*o(p). Let k = -10 + 15. Give q(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33708\/20334351)\/((-2)\/(-19))\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 3\/35*m**5 + 0 - 2\/21*m**3 + 0*m**2 - 4*m - 2\/147*m**7 + 1\/105*m**6 + 1\/42*m**4. Find g, given that v(g) = 0.\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + -43. Let t = b - -179. Suppose -3*z + 19 + t = 0. What is the remainder when z is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -10*f**5\/9 + 82*f**4\/9 - 56*f**3\/3 + 8*f**2\/9 + 160*f\/9 = 0.\nAnswer: -4\/5, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -36?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1878 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304429640.\nAnswer: 2, 5, 7610741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453*k - 5*i + 193 = -439*k, k - 5*k = -8*k + 4*i + 28 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (-6 + 4 + -3 - 1) + 41 + -34?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -5*k + 12 - 1, -y = 2*k - 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4 = 6*b. Let u be ((-13)\/1 - 1) + 0. Let h be (-2 - u)*4\/36. Which is bigger: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.3324 rounded to one decimal place?\nAnswer: 9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - 8*a**2 - 13*a - 13. Let n be l(-4). Suppose v - n = q, 5*v + 3*q - 2*q = 213. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 25*t**2 - 47*t - 31. What is b(-26)?\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 8*h + 12. Suppose -4*z - 10 = 3*n, 10 = -2*n - 3*n - 5*z. Suppose -n*q + 2 = -16. Is u(q) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - o**2 - o**2)*(-1 + 0 - 3 - 1 - 1 + 0 + (1 - 2 + 2)*(-5 + 1 + 2) - 2 - 3 + 3 - 2 + 0 + 1).\nAnswer: 44*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 37 = -4*g, 5*d + g = -g + 31. Solve -2*w - 4 = d*h + w, -8 = 4*h + 4*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 - 106 = 5*l. Suppose 0 = -b + l*b. Solve 3*t + 9 = 3*s, -3*s + 2*t + 9 - 3 = b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + (2 - 1 - (83 - 85)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -37 - (10 - (35 - 18))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + -3*2\/3. Let b = 11 - f. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22534 (base 11) to base 8.\nAnswer: 77512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, v: 7}. What is prob of sequence uuv?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from aagaqaaqhqqhaaqh.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -267*z + 278*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2468338?\nAnswer: 2, 839, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/21 + 1760\/14. Let j = -36 + u. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*5\/30)\/(1\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -625*g**2 + 169*g**2 + 109*g**2 + 3*g**3 + 178*g**2 + 169*g**2.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1481270 - -1478593.077. Let r = a + 2678. Let d = -1.15 + r. Round d to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -733, -4, 5 in decreasing order.\nAnswer: 5, -4, -733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09181 - 218.\nAnswer: -218.09181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 0 + -45 - -46.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(8\/(-24) + 1\/(-6)). Suppose s = -3*q - q + 8. Solve -4*g = -2*g - q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1886, 7265, 16218, 28739, 44822?\n\"Answer: -g**3 + 1793*g**2 + 7*g + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + 3 + -4 + -4 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63110430.\nAnswer: 2, 3, 5, 701227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**4\/12 - z. Let i(j) be the first derivative of -4*j**3 + 211. What is t(i(d))?\nAnswer: -144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 800*f**2 - 800*f**2 - 44*f**3 - f - 2*f**3 + f + 3*f - 3*f - f**3 + (0*f**2 + 2*f**2 - 3*f**2)*(-3*f - f + 5*f).\nAnswer: -48*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1568 - 879*q**2 + 309*q**2 + 423*q**2 - 1692*q**2 - 410*q**2 wrt q.\nAnswer: -4498*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35454 and 258659322.\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3735662 + 3743*t - 3747*t + 3735662.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -1\/4, -434, -0.01, -405?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4938 - 9499\/2. Let k = -188 + v. Factor 0 + x**3 + k*x**5 - 2*x**2 + 2*x**4 - 3\/2*x.\nAnswer: x*(x - 1)*(x + 1)**2*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -15*r**2 + 2*r + 1. Let y(o) = 46*o**2 - 6*o - 3. Give 11*g(v) + 4*y(v).\nAnswer: 19*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 0 + 1\/15*m**6 + 11\/6*m**3 - 135*m - 1\/2*m**2 + 0*m**5 + 17\/12*m**4. Find the second derivative of p(z) wrt z.\nAnswer: 24*z**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2703)\/(-2) + -3 + 2\/8*-2 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 0, -4*h - 32 = -0*k - k. Let c = 14 + h. Calculate the remainder when 11 is divided by c*1\/((-9)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 57765?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + 1 + sqrt(1584) - (2 + (sqrt(132)\/sqrt(4))\/sqrt(3)))*-3 + 0)*-4)**2.\nAnswer: 6336*sqrt(11) + 192240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + 5*p = -102. Let y be p\/(-7)*(-54)\/(-36). Determine v, given that -12\/7 + y*v + 3\/7*v**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 6:10 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/1)\/((-10)\/6)*(-1480)\/222?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3*z, 3*z = 86*k - 85*k - 18. Solve 15*j - k = -9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/(1309\/(-140)) + (-2)\/(-11). Suppose 0 = 21*l - u*l - 76. Sort l, -0.1, -0.6 in ascending order.\nAnswer: -0.6, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5 - (-6 - -2))*-919?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(84))\/sqrt(12) + (sqrt(7) + (0 + sqrt(7))*2 - sqrt(7)) - (0 + 1*(-1 + sqrt(1008)) + sqrt(1008)))**2.\nAnswer: -50*sqrt(7) + 4376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 65*r. Let u be y(1). Let k be 4\/(-26) + 335\/u. Suppose -102 + 22 = -16*m. Solve -a = -g + m, -3*a - 14 = -k*g + 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-21 - (-19 - -11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.430004332 to four decimal places.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 268961249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + d - d)*(3 + 4 + 0) + 5 - 5 - d + 9 + 10 + 25*d - 21 to the form m*d + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 1. Let u = -2 + -2. Let w be 6*((-12)\/9)\/u. Solve w*d + d = -r - 7, d - a = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6\/23)*b\/b**10*(b*b**(-1\/11))**12)**(-8\/7) assuming b is positive.\nAnswer: b**(-3336\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 155*v - 11 + 12.\nAnswer: -155*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, w: 1, l: 1, n: 6}. What is prob of sequence nlnw?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -893, -913, -935, -959?\nAnswer: -985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*((-51)\/(-8))\/((-3)\/(-20)). Let s = k + 471. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7374*j + 277088 - 277088.\nAnswer: -7374*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*c = -40, -4*k + 5*c - 8 = -6*k. Suppose h = k - 4. Let l = h + -3. Solve 0 = 5*d + 20, -3*i - l*i + 2*d + 18 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 13, c: 6}. Give prob of picking 2 k.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*p + 211, -2*p + 358 = -3*n + 282. Calculate the greatest common divisor of 423 and p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.452656 years to millennia.\nAnswer: 0.000452656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-1)\/(-1))\/((-14)\/14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1895*g + 1923*g = -532. Sort -1, g, 24, 4.\nAnswer: g, -1, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 7.1. Let i = 5 + -2. Let v = i - 3. Which is smaller: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/846 and -91\/846.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*p = 48*p + 84*p - 483930. Calculate the greatest common factor of 171 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/1695 and 64\/45.\nAnswer: 5085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 8:50 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-8))\/((-5)\/(-60)). Suppose -5*f - 5*o = -g, -4*f + 5*o - 4*o = -22. Suppose 455 = f*m - 3*w, 28 = -m + 5*w + 119. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.097 * 420897.\nAnswer: -40827.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from ppzp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zww when three letters picked without replacement from ddzwwdd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18445151 to the nearest integer?\nAnswer: 4295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + 6774*j**2 - 1315*j**2 - 5*j + 7*j.\nAnswer: -2*j**3 + 5459*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (0 - 2) + (-5 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04756 + 0.3537. What is r rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37037 times -2\nAnswer: 74074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 3. Let i be f(-5). Let w(n) = 5*n + n - 3*n - i*n. Let g(u) = 3*u**2 + 9*u. Let o(z) = g(z) - 12*w(z). Determine p so that o(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1623, -3275, -4945, -6633, -8339, -10063?\nAnswer: -11805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174623 and 1048.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 14 + -3 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -11*a**2 - 13*a + 589. Give n(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53865466 to the power of 1\/2, to the nearest integer?\nAnswer: 7339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4693\/3 + -1563. Let r = 88 - 173\/2. Let d = r - 23\/18. Which is the closest to g? (a) 2 (b) 1\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1258761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t**4\/11 - 4*t**3\/11 + 98*t**2\/11 + 112*t\/11 + 24\/11 = 0. Calculate t.\nAnswer: -2, -1, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**3 + 34*j**2 + 91*j + 3. Let u(d) = -4*d**3 - 31*d**2 - 92*d - 3. Let w(m) = -4*u(m) - 3*y(m). Is w(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 7*v - 133. What are the prime factors of v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*b = -2*b + 31, 0 = 2*b - 6. Let h(y) = y + 3. Let j(m) = -4*m + 21. Let s be j(6). Let n be h(s). Solve -4*d + n*d = -g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7*z**2 + 6. Let f(u) = -u**2 + u + 1. Let i(b) = 144*b**2 - 4*b - 123. Let h(g) = 4*f(g) + i(g). What is -6*h(m) - 119*k(m)?\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522 = j + 519 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfacgpgppgppp. Give prob of sequence afp.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25408, 50729, 75836, 100621, 124976, 148793, 171964?\n\"Answer: -18*c**3 + c**2 + 25444*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 317887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2)*(g**3 - 2*g**3 - 5537*g**4 + 5446*g**4 - g) in the form f*g**2 + v*g + a + b*g**4 + i*g**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 30 = -3*i. Find the third derivative of 8*k + 7*k**2 - 6*k + 2*k**i - 2*k wrt k.\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12312 is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1077 or 1076?\nAnswer: 1076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-19)\/4)\/((-7)\/28). Let u(p) = 1 - t*p - 2 + 18*p. Let s(a) = a + 1. Calculate s(r) + 3*u(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.03939 rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -3*g + 3, -5*w + 94*g - 97*g = 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1676896 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -30106*y + 179. Is l(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72148 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4279 (base 13) in base 7?\nAnswer: -35620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4690163828 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -301 and 3.54858.\nAnswer: -297.45142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1255858 is divided by 1659.\nAnswer: 1654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(272) - (-5 + sqrt(272) + 2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*q + 3. Suppose -q*n + 127 = -31. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 244834.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + u = m + 7, 4*m - 4 = 2*u. Suppose -z - 4*a = 11, 0 = 2*z + 3*z + m*a + 4. Let p be 0 + 1 + z + -2102. What is p rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 + 43*f**2 - 23*f - 19. Let i be r(-22). Find the common denominator of i\/((-352)\/40 - -8) and -59\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 + (-7 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1281633 is divided by 3580?\nAnswer: 3573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a*h**4 + 2*a*h**2 + 275488*a*h + 3*a - 200397*h**2 + 23*h wrt h.\nAnswer: 48*a*h**2 + 4*a - 400794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984691 is divided by 1927?\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 258585799 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 418715.2 millennia?\nAnswer: 5024582400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -809*14\/126 - (-4704)\/(-1512).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-20)\/(-1296)*12\/5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 276\/523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 470980537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*s + 3*s + 20, 20 = 5*v + 5*s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 7. Let f be -96*(46\/l - -1). Let c = -497 - f. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/2*72\/30. Suppose u + 210 = -g*u. Is (0 - -562)*u\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -852*a**3 - 142*a**2 + 142*a + 284. Let k(r) = -2*r**3 - r**2 + r + 2. Calculate -142*k(n) + q(n).\nAnswer: -568*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111121 - -2121221202?\nAnswer: 2121110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 473176535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -82155*t**2*u + 90*t*u**3 - 72045497*u**3 wrt t?\nAnswer: -164310*t*u + 90*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*t - 41 = 0, -2*t = -3*t - 1. Let a = 30 - f. Suppose -r + 3*l = -10, -2*l + a = 4*r - r. What is the smallest common multiple of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21031866.\nAnswer: 2, 3, 389479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22940759 is divided by 229?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -9. Let t be (-9)\/15 - 459\/(-15). Suppose 0 = 2*o - 3*r - 9, 0*o - a*r = 2*o - t. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.474 + 0.644. Let h = 6.8300003 + u. Round h to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 19*l**2 - 20. Let g be p(-19). Let t = g - -26. Solve -t + 1 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/5)\/((-6)\/(-8)). Let u = 0.04 - -0.16. Let j be 35\/(-2)*(-50)\/175. What is the second biggest value in u, j, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 491, 465, 413, 329, 207, 41?\n\"Answer: -t**3 - 7*t**2 + 2*t + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -2 - (1 + (-202)\/(-4)). Let j = -51 - q. Let -j*d**2 - 1\/4*d + 1\/4*d**5 + 0 + 0*d**3 + 1\/2*d**4 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -7*p + 4 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4619239?\nAnswer: 1481, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 16*l**2 + 17*l + 4. Let u be h(17). Suppose 3*x + 0*c - 7 = 4*c, 4*c = -u*x. Let f = 0 + -3. Sort -1, x, f.\nAnswer: f, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 12 = 0, 292*q = 2*s + 293*q - 92. Let f = -13 + 55. Which is smaller: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*n - 5*k, -7*k + 2*k = 5. Let w(g) be the third derivative of 0*g**n + 0 + 0*g - 1\/270*g**5 + 2*g**2 + 0*g**3. Suppose w(b) = 0. What is b?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 > -18479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*z**2 - 3 - 2*z - 4*z**3 - 24*z**2 + 3 as x*z**2 + k + m*z**3 + f*z and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79\/30 - 33\/10. What is the third biggest value in 2\/11, 1\/6, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-108\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 79525391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.023089 - 0.03572. Round j to four decimal places.\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9226 = -11*n + 278. What is the common denominator of (-1)\/(1\/25)*16\/n and -125\/66?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 11:05 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c + 4. Let k(w) = 5*w - 3*w - 3 - 5*w. What is 4*f(s) + 6*k(s)?\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 2\/7, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4613.196 - -4613. What is the nearest to 0.1 in 4, u, 1, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 18*i**5 + 3642*i**4 - 28678*i**3 + 63262*i**2 - 33156*i + 5040 = 0.\nAnswer: -210, 1\/3, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (18 + -30 - -24) + (16 - (198 + -21))\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21.89998 hours?\nAnswer: 1313.9988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, p: 2}. Give prob of sequence rr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14184133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-624)\/(-780))\/((-8)\/(-320)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 27182553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18104, 18082, 18046, 17996, 17932, 17854?\nAnswer: 17762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-5*(sqrt(1088) + sqrt(1088) + sqrt(1088) + -2 + sqrt(1088)) - sqrt(1088))**2*-1 + (sqrt(1088)*2 + 5)**2 + sqrt(1088) + 3)*-1.\nAnswer: -1426584 + 10584*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 91805?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*u - 106*u + 712 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 2. Let y(d) = -6*d**3 + 11. Calculate -11*a(i) + 2*y(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5 - 150581*c**4 + 1656512*c**3.\nAnswer: -c**3*(c - 11)*(c + 150592)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - a = -626, -a = 4*o - 6*o + 1258. Calculate the remainder when o is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2 + 22. Let w be (-2)\/8 + (-29)\/s. Is 0 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*20\/30\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -477, -952, -1427, -1902?\nAnswer: -2377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-20)*(-10)\/(-4). Suppose 0 = 3*u + k*u - 2825. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 9:21 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -175 - -144. Which is smaller: -33 or g?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-126)\/(-1071) + (-66)\/(-17). What are the prime factors of (-192)\/(16\/d)*(-97)\/3?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2784*g + 9*a - 1 = -2785*g + 10*a, -9*g + 6*a - 21 = 3*a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**2 - g. Let a be f(-1). Let l = a - 1. Solve -j - 2*z - l = 0, -2*j = -3*z + 4 - 27 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -9 - (23 - 28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 - 0.45. Let y = -211 + 205. Let p be 4\/y*(-39)\/(-26). Sort 0.9, p, m.\nAnswer: p, m, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z + 2. Let i be w(4). Let b be (12\/10)\/(3\/i). Solve 4 = 3*k - b*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g*g**1)\/g)**(9\/7))**(-1\/10))**(-5\/6))**31 assuming g is positive.\nAnswer: g**(93\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a milligram in micrograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 19*u**2 - 55*u + 5022. What is the tens digit of g(46)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j + 121. Let o be l(36). Suppose -377*f + 12 = -o*f. Put 4, 31, f in decreasing order.\nAnswer: 31, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, -21, -84, -179, -312?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.01 (b) -6 (c) -2\/5 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*1)\/14 - (-180)\/84. Let f be (-1)\/(4\/(-32)*p). Solve 3*t = f*t - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + h - 1. Let d(w) = 14*w**2 - w + 1. Let a be d(1). Let m be (40\/a)\/((-6)\/(-21)). Suppose m = 3*q - 8*q. Calculate x(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.753*77286.\nAnswer: -58196.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 + 7*n**2 + 26. Let l be b(4). Solve -4*z - 2*c + 14 = 0, l*c - 8*c + 14 = 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z**(-2\/45)*z*z)\/z*z*z*z*z**(-9\/4)*(z\/(z**(-1\/15)*z))\/z*z**(6\/11) assuming z is positive.\nAnswer: z**(8549\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011397 to five decimal places.\nAnswer: -0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p\/(p**21*p))*p\/(p*p\/(p**(-38)\/p)*p)*(p**(1\/18))**(-1\/5) assuming p is positive.\nAnswer: p**(-1621\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 138884987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r + 2. Suppose 3*a = -r*x - 7 - 4, 12 = -3*x - 3*a. Let w(u) be the second derivative of 7*u**5\/20 + u**4\/6 - u**3\/3 + u**2\/2 - u. Give w(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + l + 5537 = 0, -39*c + 36*c + 3325 = -2*l. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455 minus 1174?\nAnswer: -719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**3 + 4*r**2 + 6. Let y be (-1 - -10)*(-10)\/6. Let v = y + 11. Let o be (-1)\/(-4) - 5\/4. Let s(g) = -g**3 - g**2 - 1. Give o*n(b) + v*s(b).\nAnswer: b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-4))\/(6\/2). Let z be (8\/3)\/((-50)\/(-4620)). Let i = z + -246. Which is the closest to l? (a) 2\/15 (b) i (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 1:15 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**4 + 492*d**3 - 1964*d**2 + 2548*d - 1024. Let w(x) = 4*x**3 - 11*x**2 + 1. Let y(k) = -c(k) - 8*w(k). Find t, given that y(t) = 0.\nAnswer: 1, 2, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 44061 + 12595 = -2*n, 0 = -2*n - 5*v + 31462. Suppose 7*k - 4753 = n. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220120 to the power of 1\/2, to the nearest integer?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-4)*1896\/(-10507)*19?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171207 and 1512?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdh when three letters picked without replacement from {d: 2, p: 2, h: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-301548)\/(-2615349) + (-1)\/11?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -505*p**4 + 641 with respect to p.\nAnswer: -2020*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 7:56 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13208\/14 + 9\/(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10652536 + -1\nAnswer: -10652537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011822113 to six dps.\nAnswer: 0.001182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -1)*4\/2. Let s = -1123 - -2298. Suppose 0 = -p*a - 3*a + s. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93)\/(-4)*75\/(10575\/(-188))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 715 = -3*s - 237, -3*z = -6. Suppose -2*x + 79 = v, 5*x - 5*v - s = -0*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v**3 + 9*v**2 - 37*v + 9. Let p(j) = 3*j**3 + 5*j**2 - 18*j + 4. Let m(z) = -4*g(z) + 9*p(z). Factor m(t).\nAnswer: -t*(t - 7)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77.06 - 77. Which is the nearest to 0.3? (a) 5 (b) t (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73996066 is divided by 5923.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.4 - 16.5. Let k = q + 13.7. Let s = k - 7. What is the smallest value in s, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -97, -145, -195?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98438 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -268072, -527444, -786814, -1046182, -1305548?\n\"Answer: p**2 - 259375*p - 8698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2. Let r be (-3)\/(-6) + 7\/(-2). Let n(d) = 10*d**2 - 6*d + 6. Let s(m) = 9*m**2 - 5*m + 5. Let f(w) = -5*n(w) + 6*s(w). Calculate r*k(b) - f(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 218*j + 2 + 217*j)*(-8*j + 4 - 4) + 0 - 4*j**2 + 5*j**2 + 1.\nAnswer: 9*j**2 - 40*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8*j - 8. Let c be g(-2). Is c < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -810617*-429.\nAnswer: 347754693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/7 (b) -66\/7 (c) 0.9 (d) -2 (e) 0.2 (f) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -119 divided by -2065\nAnswer: 17\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4363, 5014, 5665?\n\"Answer: 651*b + 3712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41*(-2 + 3)*(-16 - (-357)\/21)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 2*l**2 - 6*l**3 + l - 13*l**2 + 6*l**2 - 7 to the form i*l**2 + n*l**3 + a*l + o and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - ((18 - (-4 + 26)) + 12).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2352) + -1 + (sqrt(2352) + 1)*-5)**2.\nAnswer: 2016*sqrt(3) + 84708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4 + 0)*(3*v**2 + 0*v**2 - 2*v**2) + 2*v**2 + 7*v - 7*v + (-v**2 + 2*v**2 + 0*v**2)*(-1 - 1 + 4) in the form a*v + h + y*v**2 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4492007\/90 + 49912. Calculate the common denominator of a and 59\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -333241024?\nAnswer: 333241030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (3371823\/28)\/13 + (-3 - (-60)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/36*(-9 - 351\/(-45)). Let q be (2\/6)\/(11\/(-6)). What is the closest to w in 5, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 49147*b**3 - 3*b**2 + 6*b - 5. Is p(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 268 = -2*k, 0 = -9*g + 3*k + 1615 - 892. Suppose 980 + 812 = 4*z. Calculate the remainder when z is divided by g.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166 or 162?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -5*f + 15, -2*f - 71961*q + 71960*q + 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2290 is divided by 381.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h**3 + 577*h**2 - 68*h + 141. Give g(72).\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048584041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6378678386\/3405 + -1873327. What is the common denominator of 24\/95 and j?\nAnswer: 64695","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3))**(-14) assuming f is positive.\nAnswer: f**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 56. Suppose -4*t + 3*w - r = 0, -4*t + w - 4*w = 5. Which is the closest to -1\/4? (a) 2\/7 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76.01 times 142\nAnswer: -10793.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19370 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12912 and 4?\nAnswer: 12912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89 + 3*d + 89)*(-4 + 3 + 4) + d + d - 4*d + 3*d - 3*d + 2*d + (1 + 2 - 6)*(2*d + 0*d + 0*d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 1:54 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 2*h + 10, 4*h - 9*h + 20 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 1.2. Suppose -5*p + 8 = -p. Suppose p*o = -c - 10, 0*c - 10 = 2*o - c. What is the smallest value in -1\/4, v, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5111?\nAnswer: 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4441 (base 8) to base 6\nAnswer: -14453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 14. Let t = -31 + 33. Let c = l + t. What is the nearest to -0.2 in c, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.871 - -1.371. What is the fourth biggest value in 2\/17, t, -1, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 + -20 - 26 - (7 + 1)) + 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - i, -5*c - 2 = -2*c + 2*i. Suppose 5*j + 4 = 3*k, j - 2*k - 5277 = -5289. Solve c*m = 8 - j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25875 + 5795985\/224. What is the common denominator of h and 35\/298?\nAnswer: 33376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -377296\nAnswer: -5\/94324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, w: 4, b: 6}. What is prob of picking 1 p and 1 b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1275 + 155 = 0. Suppose 11*q = 617 - 474. Calculate the highest common divisor of p and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k**3 - k**2 - 13*k. Suppose 0 = 12*n - 25*n - 78. List the prime factors of v(n).\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -3*t. Let k be 3*t + 0\/(-4). Factor -g + 4*g**3 - g**3 - 2*g**k.\nAnswer: g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -380.6652 less than or equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**5\/20 - 7*k**4\/6 + k**3\/3 + 10*k**2 + 35*k. Let y be f(-14). What are the prime factors of (262*4\/y)\/(-1)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, d: 1, w: 2, h: 3}. Give prob of sequence hwjh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 0*m**2 + 3*m**2 + 0*m**2 + 5 - 2 - 5*m. Let f be y(3). Calculate the greatest common factor of 135 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 1.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000767693 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*m - 38880 + 9747 = 11527 for m.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m + 566 = 636 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(99)*-3)**2.\nAnswer: 90*sqrt(11) + 916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(1452) - (sqrt(1452)*1 - sqrt(1452)) - sqrt(12))*-1)\/((sqrt(150) - (sqrt(150) + sqrt(150)*-1)*-2) + 1*sqrt(150)*-2))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7*i**2 + 2*i + 2. Calculate the lowest common multiple of 6 and x(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 6. Let i be 18 - (4 + (-13 - -5)). Let f = 17 - i. Let o(q) = -1. Determine f*y(p) - 30*o(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -232, 9, -3, 1, 45 in descending order.\nAnswer: 45, 9, 1, -3, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v - 43. Let l be 4 + ((-2)\/10 - (-483)\/115). Let j be x(l). What is the third biggest value in -0.23, -1\/6, j?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x. Let w(t) = -13430*t**2 - 1106*t + 553. Let r(q) = -73*q**2 - 6*q + 3. Let j(k) = 553*r(k) - 3*w(k). Give v(j(l)).\nAnswer: -237*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t**0)\/(t\/(t**(3\/2)\/t)*t))**(-2\/9) assuming t is positive.\nAnswer: t**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13012 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {m: 3, j: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1298714240 to the nearest 1000000.\nAnswer: -1299000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -86 - -2 - (-7 + (18 - 7) - (2 - -16))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**2 - k + 374. List the prime factors of t(0).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/4 - 167*g**4\/4 - 2137*g**3\/2 - 4533*g**2 - 5130*g = 0.\nAnswer: -18, -3, -2, 0, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 = -7. Let o be (2\/4)\/((-2)\/(-20)). Suppose -o*d - 22 = -d + 5*f, 0 = d + 2*f + 7. Sort d, -2, l.\nAnswer: l, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -7*w**4 + 18*w**3 + 23. What is the third derivative of v(h) wrt h?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(343)*-1)**2.\nAnswer: 56*sqrt(7) + 359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*o - 7 = 0, 4*o = 2 + 2. Put s, -1\/10, -1\/3 in descending order.\nAnswer: -1\/10, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + -53. Let d(z) = -z + 1. Let l(s) = 4*s - 1. Determine g*d(f) - l(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**5*k**(-1)\/k)\/(((k*k*k*((k\/((k**(-2\/7)\/k)\/k))\/k)\/k*k*k)\/k)\/k**(1\/8)))**33)**(-3\/8) assuming k is positive.\nAnswer: k**(11979\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -31004016?\nAnswer: 31004012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.445 - -10.505. Which is the nearest to s? (a) -2.4 (b) -5 (c) 0.3 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9014987 and 1234.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (118\/649)\/((-32)\/44*(-12)\/16).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -51470886880.\nAnswer: -51470886876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22780 and 198560.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.72318 centimeters to meters.\nAnswer: 0.0672318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281372793.\nAnswer: 3, 13, 1499, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**2)\/i**(-2\/9)*(i*i**(1\/3)\/i)\/(i\/i**(-10)))**(-9) assuming i is positive.\nAnswer: i**103","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*l + 10 - 20 + 10.\nAnswer: 59*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -44*p**4 - 160*p**2 + 4*p - 4. Let j(l) = -43*l**4 - 159*l**2 + 5*l - 5. Let f(x) = 4*j(x) - 5*q(x). Find the third derivative of f(a) wrt a.\nAnswer: 1152*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 155613, 1244875, 4201445, 9958977, 19451125, 33611543, 53373885, 79671805?\n\"Answer: 155609*b**3 - b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*g - 8*g. What is the lowest common multiple of 33 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-5)*-9 - 1. What is the smallest value in -16, 1.5, y?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*p - 99, -4*p = -7*l + 4*l - 53. Does l = -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9550 - 3810 = 205*x. Let l be -6*1*(-658)\/3. Calculate the highest common divisor of x and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28163.9548 + -28164. Which is the third biggest value? (a) -0.01 (b) 0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -10*i**2 + 157*i + 10177. What is m(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one halves of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 342 and 266?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*3122.\nAnswer: 624.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 34*-0.063607\nAnswer: -2.162638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i - 1. Let m be ((-16)\/(-40))\/((-7)\/(140\/8)). What is v(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-10)*f)\/f**(-22))**(-49) assuming f is positive.\nAnswer: f**(-637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 124647 - -2?\nAnswer: 124651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -363 + 1058. Suppose -21846 = n*r - 701*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**2\/2 + 12. Let b(r) = 6 - 4*r - 6. What is b(w(o))?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/12))\/(b**(1\/2)*b)*b**(4\/9)*b**(2\/3))**(-19) assuming b is positive.\nAnswer: b**(-361\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2849 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/15279 and -31\/1122?\nAnswer: 519486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 405324 and 13344?\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of ((-270)\/8)\/(121543\/24320 + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -9 (b) -2.6 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -182.6 + -5.4. Let l = k - -191. Put 2\/5, 6, l in increasing order.\nAnswer: 2\/5, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -v - 2*q + 10, 0 = -3*v + 4*q - 14. Let r(c) = 0*c - c**2 - 2*c + v*c. Let n(k) = -7*k. What is n(r(p))?\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-865\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*n + 38 - 135 + 697 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -705, -718, -727, -720, -685, -610?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 - 47. Calculate the remainder when 204\/68*(-4)\/3 - -601 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*g - 0*g. Suppose 5*j + 0*j + 778 = -s, 3*s + 774 = -g*j. Let c = j - -341. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 806 and -1067623457.4.\nAnswer: -1067622651.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -6*x - 6. Suppose -2*g + 65 = x*g. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 4*l + 3 = 21, -2*j - 4*l = 22 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*s + 3*f, 4*f + 5 + 15 = 0. Let h = -173 + 182. Solve -9 = -d + s*b, d + b = -b - h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 418.761ug?\nAnswer: 0.000418761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 44. Let g = -3 + t. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1288 + 24.6\nAnswer: -1263.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 202234 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/15*h**2 + 124\/3*h - 622\/15.\nAnswer: 2*(h - 1)*(h + 311)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -1 - 202)\/(10 + -9). Let z = j - -199. Let c(h) be the first derivative of -h**4\/4 - 5*h**3\/3 - 7*h**2\/2 - 4*h + 1. Calculate c(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 28 = 45*r - 41*r, 4*g = -20. Which is the nearest to -49? (a) -1\/3 (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.01845 and 35.91.\nAnswer: 35.92845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from yfqcpyx?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1586.2 - -1586. Let l = 4723\/35 - 135. Which is the second smallest value? (a) 1\/6 (b) l (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {h: 2, s: 1, d: 2, w: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/3))**(-33))**(2\/11)\/((k**(-1\/3)\/k)**(5\/6)\/((k*k**(2\/7))\/k**1)) assuming k is positive.\nAnswer: k**(-38\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express s**4 + 685*s**3 - 6929*s + 2*s**2 - 6924*s + 13855*s - 2*s**2 as o + n*s**4 + y*s**3 + c*s + r*s**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91003035.\nAnswer: 3, 5, 6066869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.2, -3050, -1.3 in descending order.\nAnswer: -1.3, -2.2, -3050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 1565610*j - 40704508.\nAnswer: -2*(j - 782779)*(j - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*y + 5379, -3*y = -3*o - y + 4034. What is the lowest common multiple of 18 and o?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.022 and -5888526534.\nAnswer: -5888526533.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 7:54 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*d + 20 + 116*d - 96.\nAnswer: -2*d - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -5275263\nAnswer: 5275260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 8*a**2 - 86*a - 268. Let r be q(-3). Let z(j) = -j + 50. Give z(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, z: 4}. What is prob of sequence fzfz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -169 + 131. Let t = z + 107. Is 69 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -235 - -175. Let s be 1\/((-6)\/q + 0). What is the greatest common divisor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - ((-8)\/2 + 2). Find the second derivative of -2*a + a**h + 6*a**4 + 5*a - a wrt a.\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -117*f**3*t - 14*f**3 - 2*f with respect to t.\nAnswer: -117*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3 - 1 = 0. What is the nearest to r in -0.2, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49559011 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -27*h. Let y(t) = -5*t**2. Calculate y(u(j)).\nAnswer: -3645*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**3*n**2*s*t - 131*i**3*s*t - 3*i**2*s + 524633*i*n**2*s**2*t - 4*i*n*s*t - n*s**2 - 13*s**2 wrt n.\nAnswer: 2*i**3*s*t + 1049266*i*s**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4\/19 (b) 0.4 (c) -261078 (d) -2\/19 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/233730208 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(1331) + -4 + ((-2*sqrt(1331)*-3)**2 - sqrt(1331)) - (-2 + sqrt(275) - (-6*sqrt(55)\/sqrt(5))**2)).\nAnswer: -162*sqrt(11) + 289860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/(-252)*-6)\/(1236\/927))\/(1\/14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**6\/120 - t**5\/10 - t**4\/24 + 7*t**3\/6 - t**2. Let j(o) = -o**3 + 28*o**2 - 6*o + 163. Let r be j(28). Determine x(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8640 and 3800.\nAnswer: 820800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 409*b**5\/20 + b**4\/8 - 472*b**3\/3 + 1004*b**2. What is the derivative of a(g) wrt g?\nAnswer: 2454*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50551234 + -110?\nAnswer: -50551344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -764131\/192894 + -1\/7419. What is the common denominator of y and (13\/66)\/1*3?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -43983, -88295, -132607, -176919?\n\"Answer: -44312*o + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5625 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -289 (base 10) to base 8.\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 8*p**2 + 13*p - 9. Determine l(9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.07164 times -689\nAnswer: 49.35996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*c - 93*c - 103*c**3 + 41*c**3 as h*c**3 + t + q*c**2 + j*c and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -154b690?\nAnswer: -154b688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 5:16 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 10*l + 71. Determine t(8).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**4 - 783*m**3 + 10*m**2 - 2*m - 18388033 wrt m.\nAnswer: 4*m**3 - 2349*m**2 + 20*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 14*b - 5\/6*b**3 + 0 - 2*b**2. Let u(f) = -9*f - 7. Suppose -2*n - 1 - 9 = 0. Calculate n*w(h) + 3*u(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 403\/39 + (-4)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 1. Let s be z(7). Let x(n) = -6*n - 46. Let w be x(s). Solve 3*c - 4 - w = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(875)*3)\/(sqrt(70)\/(sqrt(10)*-2) + sqrt(7) - sqrt(7)).\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000066737 rounded to six dps?\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, y: 7, k: 4}. Give prob of sequence ki.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((6*2*sqrt(200) - (sqrt(200) + 0)*2 - ((sqrt(200) - (sqrt(200) + 2 + -3) - sqrt(200)) + 3))*3)**2*1.\nAnswer: -7920*sqrt(2) + 217943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 19 + -4 + (704\/(-336) - 4\/(-42))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9184 divided by 224.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -34*a**2 + 31*a**2 + a - a. Let z(c) = 4*c**2 - 5*c. Let i(d) = -2*d**2 + 2*d. Let n(g) = -5*i(g) - 2*z(g). What is r(n(f))?\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*j - 176*j = 1500. What is the remainder when j is divided by 119?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -21*z - 167. Suppose 54*w + 26 = -5*l + 52*w, 0 = 2*l + 5*w - 19. Determine m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -119, -9, 60 in increasing order.\nAnswer: -119, -9, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*g + 2*w, -g - 3 + 0 = w. Let x = -8.1 + 8. Which is the nearest to x? (a) 2\/11 (b) 2\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -309 - -7 - (-1 - 3). List the prime factors of (-2)\/8 - a\/8.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.36 + -0.48. What is c rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/5028 and 65\/12999.\nAnswer: 21786324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b\/(b**(-12\/7)\/b)))\/b**(-1))\/(b**(2\/25)*b*b**(-11)\/b))**(3\/25) assuming b is positive.\nAnswer: b**(5358\/4375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4322463 (base 7) to base 9\nAnswer: 882503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v*v**(1\/16))*v**(4\/13)\/v assuming v is positive.\nAnswer: v**(51\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*w - 663 = 1382, 3*w + 6126 = 3*j. Suppose j = 3*i - 3*f, 6 = -3*f + f. What are the prime factors of i?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r. Let a(l) be the second derivative of -l**6\/72 - 2*l**3\/3 + 2*l. Let i(c) be the second derivative of a(c). What is i(k(t))?\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*sqrt(132)*6*-2)\/((5*sqrt(36)\/sqrt(3) + sqrt(108)\/(sqrt(36)\/sqrt(4)))*-5))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 8 + 0)*(-10*l - 8*l + 14*l) + (l - 3*l + 0*l)*(0 + 3 - 2) - 3 + 3 + l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 79644, 79640, 79636?\n\"Answer: -4*h + 79648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 196 and 3258402?\nAnswer: 6516804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -21. Calculate the remainder when 19 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*n + 2*z - 18, 5*n - z - 43 = 0. Let s be (-1704)\/(-30) + n\/(-10). Let g(f) = -19 - f - 16 + s - 20 + 8*f**2. Determine g(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.31353042.\nAnswer: -0.094059126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-6)*8\/(-3). Suppose 5*d = 2*a - 5, -4*d + 4 = 4*a + 8. Suppose x*j = -a*j + 60. What is the smallest common multiple of 30 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -11, 2, 4 in increasing order.\nAnswer: -11, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) 4\/5 (c) -0.145 (d) -0.3 (e) -0.05 (f) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.08, -2\/7, -0.03639, 5, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + (sqrt(72) + sqrt(72)*2)\/sqrt(2))\/sqrt(12).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6)\/i)\/i*i**(-2))**43 assuming i is positive.\nAnswer: i**(-430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142472\/880 - 2*1\/(-20) is divided by (4\/3)\/(4\/102)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1\/4 (c) 2\/19 (d) -188.47 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 87\/2*f**2 - 117\/2*f + 3\/2*f**4 - 27\/2*f**3 + 27.\nAnswer: 3*(f - 3)**2*(f - 2)*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*u = 21, 0*o + 3*u = 4*o - 3. Let f be o\/(-4) + (-1 - -2). Suppose -5*q - 3*h - 2 = 0, 5 = 5*q - 2*h + 12. Which is bigger: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43566822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*q - 836 = 0, 3*q - 7*q = 4*m - 656. List the prime factors of m.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j**2 + 4*j + 84. Is 4 a factor of s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.236859 rounded to 1 decimal place?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/714 and -65\/5307196.\nAnswer: 111451116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/8 (b) 0.2 (c) 21 (d) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56900911?\nAnswer: 43, 173, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -119682 and -5689644.\nAnswer: -5809326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 = 0, -3*v = 5*i - 19 - 49. What is the remainder when 39 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 53 + 28 - 147*m**2.\nAnswer: -147*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-8)\/(l\/l**(1\/7)) assuming l is positive.\nAnswer: l**(-62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/6 - 419*g\/3 + 1170488.\nAnswer: -(g - 2264)*(g + 3102)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 3*q**2 - q**2)*(0 + 1 - 2) - q**2 - 3*q + 3*q + q + 1524*q**2 + 5153*q**2 + 6629*q**2 - q.\nAnswer: 13304*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 36309*n**2 + 41935*n**2 - 78245*n**2 - 2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5 + 285*d**4 - 2917*d**3 + 9695*d**2 - 11784*d + 4720 = 0. What is d?\nAnswer: -295, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, s: 2, i: 1, z: 2}. What is prob of picking 1 p and 1 s?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20027, 80430, 181207, 322358, 503883?\n\"Answer: 20187*m**2 - 158*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220 + 4*k - 5*k + 600 - 166 - 214.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3\/5 - 744*w**2\/5 + 15095*w - 85170 = 0. Calculate w.\nAnswer: -835, 6, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**5 - 7178*g**4 + 335775*g**3 - 4408398*g**2 + 10257408*g + 80095392 = 0.\nAnswer: -3, 12, 26, 7131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2900389+-4147545\nAnswer: -1247156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -13, -1, -1081, 2\/3, 0.2, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2)*-3*2. Let c be -4 + -4 + 34 + 3. Let u = c - z. Calculate the remainder when u is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/117655 and -43\/4517952.\nAnswer: 22589760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11339631, -22679259, -34018887, -45358515?\nAnswer: -56698143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 100013 in 0.3, -2, 0.07, -3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94279 is divided by 31024.\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqihh. Give prob of picking 1 q and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 272.2+-5\nAnswer: 267.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*(m**7\/m)\/m)\/(m\/(m**(-6)*m)))\/((m\/m**(5\/4))\/(m*m\/m**1)) assuming m is positive.\nAnswer: m**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -655239, -655242, -655245, -655248, -655251?\n\"Answer: -3*c - 655236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 223 - 221. Let u be 3*(-5 + 75\/18*y). Solve 12*h + 10 = u*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 98*w**4*z**2 + w**2*z**2 + 84*z**2 wrt w.\nAnswer: 392*w**3*z**2 + 2*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6*7\/210)\/((-27)\/(-345)) and -11\/69?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 5*g**2 + g. Let z be (-1)\/(-2) + (-30)\/(-12). Let h = 2 + z. Let v be u(h). Solve v*b - b + 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -5. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 9. Let s = 3275 + -3269. What is the third smallest value in p, 0.1, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)*2 - sqrt(52)\/sqrt(4)*-2.\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4561, -1, 28 in increasing order.\nAnswer: -1, 0, 28, 4561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2412, 2409, 2404, 2397, 2388, 2377, 2364?\n\"Answer: -t**2 + 2413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*k + 53748 + 45148. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8*((-210)\/(-28) + -7). What is the highest common factor of 2164 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**5\/60 + 109*h**3\/3 + 82. Let l(o) be the third derivative of n(o). Let k(p) = -3*p. Determine 3*k(g) + 2*l(g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, 359, 5.\nAnswer: 0, 5, 7, 359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p - 642 - 1447 = 4661. What is the highest common divisor of 465 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97669174 a multiple of 1783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y**2 - 61*y - 9. Let f(a) = 30*a**2 - 19*a + 14. Let t(c) = 53*c**2 - 37*c + 24. Let d(x) = 7*f(x) - 4*t(x). What is -9*d(z) - 2*j(z)?\nAnswer: 4*z**2 - 13*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - 1703*p**3 - 5*p + 4887*p**3 - 3187*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 27 (b) 7 (c) -5 (d) -8.27 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108288 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 4*i**2 - 11*i + 15. Let q(t) = -365*t + 2184. Let z be q(6). Determine x(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, f: 2, g: 3, u: 6, m: 1}. Give prob of picking 1 f, 1 m, and 1 r.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2863580599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1270744 to the nearest integer?\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34633204.\nAnswer: 2, 1129, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q. Let m(c) be the second derivative of 1\/2*c**3 + 0 - 39*c + 0*c**2. What is m(i(p))?\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/16*(4212\/(-180))\/39)\/(12\/(-20))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwccxwwwcywwwxwywccw. Give prob of sequence wxc.\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 44 = 64. Calculate the remainder when 70 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/(-100))\/(1 - ((-880)\/(-96) + -8)).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/18 and -101\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3066*h - 3 + 3699*h - 614*h.\nAnswer: 19*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -a76 (base 11) to base 12\nAnswer: -8b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = 5*w. Suppose -2*j = -3*b + 9, j + w = 4*b - 11. Find the third derivative of 11*o**4 + o**2 + 2*o**3 - 5*o**b + 3*o**3 wrt o.\nAnswer: 264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1238 divide 40543262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 195 = 317. Calculate the remainder when (-24)\/(-26)*80 - h\/208 is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 2*n - 2. Let s = -4 + 6. Let w = -4 + s. Let v(q) = 2*q**2 - 5*q + 5. Calculate w*v(i) - 5*h(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.3725 to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 337425 or 337789?\nAnswer: 337789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 46 (c) 47 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x - 4. Suppose 19 - 3 = -4*v + b, b = -x*v - 8. Let i(f) = -2*f**3 - 6*f**2 - f + 5. Does 11 divide i(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 522669480 to the nearest integer?\nAnswer: 22862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a + 0*a)*(2 - 2 + 2) + 0*a + 0*a - a - a + 0*a - 5*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.28, 119, 0.23, 50?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 126555 - 1626?\nAnswer: 124626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7330717 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**3 + 376*l**2 + 10416*l + 70560 = 0?\nAnswer: -42, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*q. Suppose -4*s - 5 + 33 = q. Calculate the remainder when 11 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-55)\/(-5) + -3 + 16291*(-2)\/(-2)?\nAnswer: 3, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 + -93. Suppose -i = q*i - 30. What is the least common multiple of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17711, -17710, -17709, -17708, -17707, -17706?\n\"Answer: b - 17712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**6\/120 - f**5\/30 - f**4\/8 + f**3\/2 - 2*f**2. Let n be m(-3). Let l = n + -15. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -707 + 720 - (-1 + -3 - -33)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/792 and 14\/20445.\nAnswer: 5397480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 40*w**4 - 4265*w**3\/3 + 2711. What is the third derivative of t(j) wrt j?\nAnswer: 960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 309, 0.5.\nAnswer: 2\/7, 0.5, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*n + 5*w - 35, -4*n - 17 = -5*w. Solve 4*y - 5*y = -n*h - 13, -2*y + 22 = -3*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 24*g + 461. Let v be f(-17). Solve 0 = v*h - 24*h - 58 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 395619?\nAnswer: 395618.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*l + 156, -3*f + 29 = l - 0*f. Suppose l*t + 84 = 44*t. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.042, 2\/13, -28\/3?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -339 minus -687516433.09?\nAnswer: 687516094.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6.29, -24.5, 6, 1\/5 in descending order.\nAnswer: 6.29, 6, 2, 1\/5, -24.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 4*t**2 - 5*t - 5. Let d = 16 + -10. Let z be i(d). Let k = z - 22. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -125 bigger than -5475\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 42 + 17 = 0. Suppose -f = -4*x + 19. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 - 13. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 12:58 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3666.85509 rounded to the nearest 10?\nAnswer: -3670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**5\/120 - s**4\/12 - s**3\/3 - 10*s**2. What is n in t(n) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 1 - -4) + -5. Let o be 12\/z*(-4)\/6. Calculate the remainder when 3\/o - (-49)\/4 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 2*t**2 - t. Let s be v(1). Let l(w) = w**3 + 2*w**2 - 2*w - 2. Let i be l(-2). Suppose j + 15 = 6*j, -i*u - 3*j + 83 = s. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2389, -2414, -2437, -2458?\nAnswer: -2477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3507 is divided by 179?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -62605470 times 0.5\nAnswer: -31302735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.9 in 3\/8, -2, -2\/3, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**5\/5 + 28*o**4\/5 - 22824*o**3\/5 + 580832*o**2\/5 + 250624*o = 0.\nAnswer: -89, -2, 0, 40, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, g: 7, n: 4}. Give prob of sequence sg.\nAnswer: 49\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -16*f**2 + 0*f**5 + 5\/8*f**4 - 1\/60*f**6 + 0*f**3 + 0*f + 0. Find the second derivative of r(l) wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*i - 249 + 225 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 334, 305, 274, 241, 206, 169?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + t - 6 = -0*t, 3*u + 5*t + 14 = 0. Suppose -3*c + r + 875 = -r, -5*c + u*r + 1465 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*w**4 - w**2 + 17*w - 7?\nAnswer: -768*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2008, -1981, -1966, -1969, -1996, -2053, -2146, -2281?\nAnswer: -2464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*b - 1119 = 7681 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*c - m - 25, -3*m = c + 2. Let o be (-2)\/(-1) - (c - 9). Suppose -o*v = v. Solve 5*k - 21 = 4*f, -3*k = 3*f - v + 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3862814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 178*b**3*m**3*p + 5947*b**3*m*p - 2*b**3*m - 634*b**3 + 2*b**2*m + 32*b**2 + 14*b*m**3 with respect to p.\nAnswer: 178*b**3*m**3 + 5947*b**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 53. Let u(n) = -n**2 - 24*n + 3. Let c be u(a). Suppose -8*d + c = -182. What are the prime factors of d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*5\/(-135) + 212\/18 + -14?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i + 3. What is h(9)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 4*d**2 + 3*d + 5*d - d**4 - 7*d as q*d**3 + c*d**4 + t + h*d + z*d**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 8*i**2 - 2*i + 10. Let a be g(8). Suppose 2*w + 5*l = -1, -2*w + 1 = l + 6. Calculate the remainder when (-248)\/a - w\/(-9) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3420 (base 7) to base 3.\nAnswer: 1200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(5 + -4 + 1). Suppose u = -2*z - 3*x + 76, 5*z - 5*x = 250 - 10. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1389*z - 799*z - 3381*z to c + x*z and give x.\nAnswer: -5569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -9 + 6 - 4*i + 0*i**2 - 5*i - i**2. Let c be b(-8). Suppose f - 15 = -c*g, -3*g + 2 = -f - 15. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/1 + 1116 + 35.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/39300 and -191\/6150?\nAnswer: 1611300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c**4\/c))**5*(c*(c\/(c\/c**7*c))\/c)**(3\/7) assuming c is positive.\nAnswer: c**(-122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7135? (a) -20 (b) 2\/3 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 3. Let w(x) = x**2 - x - 1. What are the prime factors of w(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10116342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or -58.0924?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6960 and 290?\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 z when two letters picked without replacement from oomymymzmomm?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -48\/13 <= 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/231 - -211\/1155. Put 2, 0.086, u in ascending order.\nAnswer: 0.086, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -181\/73 - -18644\/365. Which is the nearest to q? (a) -1\/4 (b) -3\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 7\/2*o**5 + 0*o**3 + 34 - 1\/3*o**6 + 0*o + 9\/8*o**4 + 0*o**2. Find x such that w(x) = 0.\nAnswer: -1\/4, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27225 and 14619.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1\/2, 0, 0.8677, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1101210121?\nAnswer: 1101210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + j = 2*t - 21, -2*t = 3*j - 33. Solve -2*n + 6*n = t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10946049493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -90 - -93. Solve 4*q + 1 = -c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 + -38. Suppose 4*y + t*y = 602. List the prime factors of y.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.05, 0.1, -2, 0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.06907 milligrams in grams?\nAnswer: 0.09706907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*s - s + 4*s)*(299 - 1939 + 425 - 2861 + 59) to m*s + g and give m.\nAnswer: -40170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7443 is divided by 41.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11*v**3 + 64*v**2 - 13*v + 223. Let n(k) = k**3 - 5*k**2 - 22. Let z(f) = -10*n(f) - r(f). Suppose m + 2*m = 39. Calculate z(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 4) to base 3.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 45\/4 of a kilometer?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/7, 3, -0.420033, 0.1 in descending order.\nAnswer: 3, 0.1, -0.420033, -16\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b - 44. Let l be s(-23). What is the third derivative of -4186*u**3 + 0*u**2 + 4199*u**3 + 67*u**l wrt u?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3577803 and 3844.\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (110971\/(-22092) - -2) + (-2 - -7) + -2 and 51\/44?\nAnswer: 34716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 4*a**2 - a - 70. What is g(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = -21*p + 34*p. What is the smallest common multiple of 7 and p?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (64\/48)\/(10\/45). Let n(v) = -v**2 + 5*v + 9. Calculate n(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 5*p**2 - 2*p + 1. Determine s(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5 = 3*f, 4*f - 4 = -4*x - 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*h - 162 = -22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 12 = 2*b. Solve w + b - 5 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*g**3 + 5*g**3 - 7*g**3 - 2*g**2 + g**3 + 3*g**4 - 1 in the form y*g**2 + r + i*g + f*g**3 + z*g**4 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*v - 182*v - 16 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 + 12*v + 5. Let x = 69 + -75. Let p be g(x). Let m = p + -46. Is 0 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {a: 4, e: 15}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from {s: 3, h: 2, j: 1, k: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l**2 - 3 + 5*l - 2*l**2 + 6*l**2 - l**2. Let u = -9 - -6. Let b = u - -6. Calculate f(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0 + 0)*(4 + 0 - 3)*(-144*r**3 + 179380 - 179380) - 5 + 5 + 4*r**4 + (3*r**3 + 0*r**3 - r**3)*(r - 1 + 1).\nAnswer: 294*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 9*q - b + 8, -2*q + 4 = -4*b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7175 and 197575.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43979 - 23512. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 4392549.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 0 + (31 - 56 - -5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**3*p + 8*j**3 - j**2*p + 88*j - p wrt j?\nAnswer: 18*j*p + 48*j - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 626?\nAnswer: 14\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1993*p - 22620 - 28539 - 18097 - 32387 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119 - 111*h - 79 + 1687*h - 40.\nAnswer: 1576*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178 - 0.0055.\nAnswer: 177.9945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + b + 1. Let r be (-1 - (-6)\/(-15)) + (-8)\/(-20). Let t(w) = -w**3 - 2*w**2 + w + 3. Give r*t(o) + 3*p(o).\nAnswer: o**3 - o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010001101 (base 2) in base 16?\nAnswer: a8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/18*57\/(-19)*(-69)\/8280.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2435 + (0 + 20\/(-5) - -5). Suppose -209*c + 202*c = -b. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177500992.9 rounded to the nearest 100000?\nAnswer: 177500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 + -3.1. Let g = -357\/2024 + -1\/184. Sort g, 3, c.\nAnswer: c, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r**2 - 2. Let l(s) = -6571 - 120*s**2 + 3268 + 3268. Suppose -18*n + 169 = 1429. Calculate n*w(g) + 4*l(g).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8175 + -8217. What is the nearest to s in -0.3, -2, -0.047?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26998\/535 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -378 + 606. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.571 less than 54.8766?\nAnswer: -34.6944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((7 + -4)*2\/36). Is 2 a factor of a\/(-12)*(-48)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57459217 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 11 - 9 - l + 9 + 12. Suppose 2*u = -y - 2*y, 5*u = -3*y. Is a(y) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1120\/(-14) - -73)\/((-35)\/185).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**2 - a - 70 + a.\nAnswer: -8*a**2 - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 281867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21337 - -102540?\nAnswer: 61201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*j - 3*j. Suppose -16 = -j*b - 1. Suppose -5*f = 4*k - 11, 3*k - b*f - 13 = k. Solve 0 = -v - k*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -4. Suppose -4*o - 323 = -t, -2*o = l*t - o - 1343. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d5d2b5 - 0?\nAnswer: d5d2b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95)\/(-152)*12\/3*-6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -10, -13, -14, -13?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458964 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1935 is divided by 92.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -222627720 divided by -22556?\nAnswer: 9870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 13*i**2 + 3*i - 3. Let h be p(2). Let g(j) = -23*j + 1. Let v be g(-1). Let m = h - v. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**3 - 2*d**2 + 2*d - 1. Let o be c(1). What is the second derivative of -4*w**3 - w**5 + 4*w**3 + 0*w**o + 2*w wrt w?\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3975.664cm to micrometers.\nAnswer: 39756640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 6*d**2 + 5*d - 1. Let m be q(5). Let j = m + 1. Suppose j = -0*t - 2*t + 96. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - g + 2*g)*(-g**3 - g**3 + 4*g**3)*(33 + 7 + 0).\nAnswer: -80*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*x + 47*x = 40 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -655, -654, -653?\n\"Answer: s - 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j = -z + 17, 3*j - 2*z - 26 = 0. Let m = -7 - -7. Suppose -w + 85 = 4*l, 81 = -m*l + 3*l - 5*w. Calculate the remainder when l is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 254?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9702219.\nAnswer: 3, 43, 75211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 - 41. Solve 3*f - l = -0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9\/10 of a millennium?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 9*j**2 + 9*j - 8. Let o be z(8). Suppose b + 4*g - 70 = o, -3*b - 2*g + g = -210. Which is bigger: b or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9*q**3 - q**2 - 36*q + 36. What is t(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -3 (c) -0.4 (d) -2\/257 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-60)*8*(-10)\/1040\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.066996 rounded to three dps?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**5\/2 - 2*m**4 + m**3\/2 + 8*m**2 + 6*m = 0?\nAnswer: -3, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 143, 82, 21?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62220913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -139*r + 113. Give o(-3).\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -1)*168\/(-126). Suppose -3 + 27 = 4*q. Suppose 0*r**3 - q*r - 8*r**2 - 4*r**3 - 2*r + s*r = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from ddpdzuvdpd.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 3, g: 5}. Give prob of sequence gt.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*6\/(-2)*2\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 33024?\nAnswer: -33022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7161*p**4 + 11*p**3*v**2 - 331*p**3*v + 34482*p**2*v + 844*v**2 wrt p.\nAnswer: -171864*p + 66*v**2 - 1986*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/((36\/9)\/(-2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21648, 43294, 64940?\n\"Answer: 21646*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -3, -1, 114.\nAnswer: -60, -3, -1, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.24704051 to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 10*u + 8. Let i(q) = 7*q + 5. What is -5*a(d) + 8*i(d)?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 186, -9, -3, -50 in decreasing order.\nAnswer: 186, -3, -9, -16, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 2*r**2 + 7*r. What is v(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-21)\/(-2))*(4368\/704)\/91.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -554104, -551622, -549138, -546652, -544164?\nAnswer: -541674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + sqrt(1900) + sqrt(1900) + -1 + 0)*5)**2 + 5.\nAnswer: -1500*sqrt(19) + 427530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(156)*4*-2)\/((sqrt(96)\/sqrt(8) + sqrt(12))*-2))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 22*j**3 - 3 + 40*j**3 + 0 - 124*j**2 + 3*j + 91*j**2 - 67*j**3. Let q(n) = -6*n**3 - 33*n**2 + 4*n - 4. What is 3*q(i) - 4*z(i)?\nAnswer: 2*i**3 + 33*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3525720?\nAnswer: 2, 3, 5, 11, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -3*k - 45. Suppose -4*o = -k + 1. Suppose -3*m - 3 + 7 = -i, 0 = m - 4*i - o. Calculate the lowest common multiple of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -29\/11, 2\/7, -0.085?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/(-6))\/((-1)\/9). Suppose 0 = n + 1, 3*j + 2*n - 100 = -3*n. Let r = j - o. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122121112111 - 1?\nAnswer: 122121112110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2) + 4 + -4 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**3 + 15*k**2 - 16*k + 8. Let j(z) = -8*z**3 + 45*z**2 - 49*z + 24. Let a(o) = 4*j(o) - 11*l(o). Is 6 a factor of a(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1 = -6. Let r = 33.595 + -34. Let s = -0.205 - r. Sort 23, g, s in decreasing order.\nAnswer: 23, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.8, -4, 5, -24.455?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 21. What is b(27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Let c(m) = -4*m - 1. Let n(x) = c(x) + 3*z(x). Suppose -j = -2*r - 19, -4*r - 1 = -r + 4*j. Determine n(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**4 - j**4 + 5*j**4)*(3 - 4 - 1) - 1261*j - j**4 + 1315*j - 5*j**4.\nAnswer: -10*j**4 + 54*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/924)\/((-1)\/(-30)). Let s = u + -4\/11. Let p = -945.3 - -945.7. Which is the nearest to 1\/3? (a) s (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1\/3, 2\/147, 1, 2512\/11 in increasing order.\nAnswer: -1\/3, 2\/147, 0.1, 1, 2512\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8)\/10 - 8\/(-20)*(-124489)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 12 + 8 = 0, 5*b - 30 = -2*q. Suppose 2*m - 4*u - 640 = 310, 2*u = -m + 475. Suppose 5*i = -4*s + m, 4*i - q*s = 431 - 51. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13715?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3376*x - 320743 = 782*x - 134800 + 267279 for x.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1527, 1131, 199, -1539, -4353?\nAnswer: -8513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 10*t - 4. Let y = 181 + -439. Let z = y + 250. Calculate g(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -1 + (-5 - (-244)\/44). Let p be ((-7)\/(-5))\/(1\/5). Let r = -5 + p. Is q >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1183 times 0.085\nAnswer: -100.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5166 divided by -3\nAnswer: -1722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i - 150 = -22 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19797 - 7387. List the prime factors of c.\nAnswer: 2, 5, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96575, 96644, 96713, 96782?\nAnswer: 96851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -63499 and -3790.\nAnswer: -67289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -572, -580, -588, -596, -604?\n\"Answer: -8*j - 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 503 (c) -0.074\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-216)\/(-15) - 6\/(-10). What is the highest common divisor of 105 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85223 (base 9) in base 7?\nAnswer: 323121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 1. Put d, 6, -4 in decreasing order.\nAnswer: 6, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -160\/11? (a) -0.3 (b) 0.3 (c) 0 (d) 3\/8 (e) -1.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7500 and 3060.\nAnswer: 382500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -120 + 84. Let d = -30 - o. Calculate the remainder when 20 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 6*g - 5. Suppose -9 = -5*j - 4*d, -6 = -0*j - 2*j - d. Let n be k(j). Suppose o = 6*o - n. Solve o*t = -t + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230298 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -3 + -6 + -5 - (12 - 11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 263*q + 1491. Determine s(-8).\nAnswer: -613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + 3*y)*(-11*y**2 + 17254*y - 17254*y) to m*y**2 + p + a*y + i*y**3 and give i.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*282\/(-22) + -336*(-279)\/7812?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 11:05 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*v - 22, -4*v = -2*o + 16 - 52. Let m(t) = 9*t**2 - 7*t + 13. Let l be m(2). Let s = l + o. Calculate the greatest common divisor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -239.3 + -45.5. Let c = g + 222. What is c rounded to the nearest integer?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/73 + 2167\/730. Calculate the common denominator of r and 29\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(((c**(-4)\/c)\/c*c)\/c)*c**(-1)*c*c\/(c*c\/c**(-2\/3)*c)*c*c**7 assuming c is positive.\nAnswer: c**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/48)\/((1 + 0)\/10)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/3758200 and -149\/245100?\nAnswer: 11274600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/36*-2*(-6)\/400. Let d(l) be the second derivative of 0 + 5*l + 0*l**3 - b*l**6 + 0*l**2 - 1\/30*l**4 + 3\/100*l**5. Find z, given that d(z) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 10*w + 0*w + 5*w + 2 - 8 + 13*w**2 + 4*w. List the prime factors of y(8).\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424019807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -5\/3, -14, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*o + 4*o + 345, -o + 1363 = 4*k. Let v = k - 171. Let c = v - 57. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 394 = 5*q, -4*q - 33 = -17. Calculate the smallest common multiple of f and 45.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*t - 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**4 - 30*j - 11 + 46*j - 16*j - 2*j**2 to b*j + x*j**3 + z*j**4 + d*j**2 + c and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 9*y**2 + 2 + 7 - 6 in the form p*y**2 + u*y + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45251967.4525506 - -45251963. Let r = f - 14.54744785. Let m = 19 + r. Round m to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*g + g + 21, 0 = 3*n. Suppose 3*r + 32 = g*r. Solve -r = -4*h - 0*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 - 108*k - 306. Let x be t(-3). Is x <= -11\/314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -719, 30, 208 in descending order.\nAnswer: 208, 30, -719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 6:58 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 24*t**2 - 60*t + 400.\nAnswer: 4*(t - 5)**2*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*h + 1647445 + 471498. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 158*u + 286 = 0. Let y(i) be the first derivative of 0*i**u - 27*i + 19\/3*i**3 + 12. Differentiate y(d) with respect to d.\nAnswer: 38*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 4 = 2*n, -8 = 6*n - 10*n + 8*j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -l - 4, 5*l + 9*u = 12*u - 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32394 plus -220539255.7?\nAnswer: -220539256.02394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 30*i - 103. Let l be j(24). Solve 0 = -40*y + l*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 0*n - 30 - 7 = -4*n, -8*s + 10 = 2*n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*p + 29 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 13*h**2 - 12*h + 5. Let i be l(12). Let f(x) = i + 3 + x + 0. Determine f(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*u)*(-u**2 - u**2 + 3*u**2) + (100*u - 4*u**2 - 100*u)*(-7*u + 2*u - 5*u).\nAnswer: 36*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -41*j**2 + 1477*j - 44. What is h(36)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3874782015?\nAnswer: 3, 5, 13, 245317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 3*g + 3*u - 7, 2*u = 5*g - 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1801.5 rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-476)\/(-714))\/((-10)\/(-345))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 1627065*a - 3254110.\nAnswer: -5*(a - 325411)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 513 - 503. What are the prime factors of k\/(-3) - 24\/36 - -718?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s - 21. Let p(w) = -w + 4. Let h(n) = -2*c(n) - 11*p(n). Let d be (8 - -1)\/3*-2. Let l be h(d). Put 3, l, 0 in decreasing order.\nAnswer: l, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7597473ml?\nAnswer: 0.0007597473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 4318 = 4300 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 286 - 198. Calculate the greatest common divisor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by -42\nAnswer: 19\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 152*o - 154*o + 484*o - 158*o + o**2.\nAnswer: -o**2 + 20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - -5. Suppose 7*i - g = 3*i. Let w be 3\/i + 2\/(-8). Solve w = -0*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -18. Suppose -3*o = 2*y - o - d, -2*y - 5*o = -35. Suppose -y*v = -134 + 44. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-476)\/(-85)*(-1)\/(-4).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15941666 to the power of 1\/2, to the nearest integer?\nAnswer: 3993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 2*d + 4. Let j = 7 - d. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -6) + (-2 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -3*r**2\/2 + r - 9. Let h be p(-1). Let z be 6 + (-16)\/h - 9. What is z rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/6 + 480\/9 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 921, 918, 915?\n\"Answer: -3*x + 924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l - 2. Let y(j) = 14*j - 6. Let o(i) = -17*m(i) + 6*y(i). Let s be o(-5). Solve s*p + u = 2, 4*u = -3*p + 1 - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -13722107*n + 56589. Let i(u) = -1455*u + 6. Calculate 18863*i(q) - 2*y(q).\nAnswer: -1451*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 5, 1.3, -2\/5 in decreasing order.\nAnswer: 5, 1.3, 0.05, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 + 79. Let a be (3 - (3 + w))\/(0 - 1). Solve 5*t = 5*j - 0*j - 40, 4*t + 4*j = a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 12:15 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*i - 4)*(-3672 - 4144 + 1400).\nAnswer: 12832*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10 - -4)*(-16)\/6. What is the highest common factor of g and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(30))\/sqrt(2) + sqrt(15) + sqrt(15))\/(1*sqrt(15)\/sqrt(3)) - (4 + 2*sqrt(363))*6.\nAnswer: -128*sqrt(3) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x*x**(1\/7)*x*x)\/x)\/x)**(-22\/5)*(x*x**(-15)\/x)\/x**4)**(-8\/9) assuming x is positive.\nAnswer: x**(1592\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 289654 and 506518.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from ooolllollllollolll.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 0 - 8\/3*m**3 + 1\/3*m**4 + 17*m + 8*m**2. Suppose c(i) = 0. What is i?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - x = -5*x - 12, x = -i + 6. Suppose -5*h - 2*t = -60, h - 6 = 4*t + 6. Suppose 0 = 2*q + 4*v - 12, i*v - h = -3*q + v. Solve 5 = g - q*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5564*s + 5588*s + 5 - 11168*s as l + i*s and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 630?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 24. Suppose 0*t + t - 7 = n. Suppose t*p + 35 = 12*p. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 + 1.12. Let u = -1.2 + j. What is the closest to 3 in 5, -0.1, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 6*n = 3840. Suppose -12*a = -17*a + n. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9128439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 1. Let t(b) = 3*b + 13. Let r(a) = a + 2. Let g(j) = -j - 6. Let n(v) = -g(v) + r(v). Let u(w) = 5*n(w) - 3*t(w). Give -4*l(z) + 5*u(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 15*j**2 - 16*j - 12. Is w(-15) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (sqrt(121) - sqrt(121)*-1*-2))\/(sqrt(44)\/(sqrt(4) + sqrt(64))).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2792*h + 6*z + 11 = -2800*h - 39, 3*h = 5*z + 61 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.73441l to millilitres.\nAnswer: 76734.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/3)*r)\/r*r)**(7\/4))**(-31)\/((r**2\/(r**5*r))\/(r**0)**(27\/4)) assuming r is positive.\nAnswer: r**(-169\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f + 44. Let z be h(-7). Suppose 4*a - 19 = -2*c + c, 3*c + 3*a - 12 = 0. Which is bigger: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 25 - 25)*(t**2 + 2*t**2 - 5*t**2) + (-4*t + 4*t + 2*t**3)*(2*t - 4 + 4) - t**4 - 8*t**4 - 7*t**4 - 4*t**4 + 2*t**4 + 3*t**4.\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 32. Suppose n + 10 = 4*q, -6 = h*n + 2. Suppose -2\/5*u**4 + 2\/5*u**q + 0*u + 0*u**3 + 0 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2171641907?\nAnswer: 61, 35600687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 11*f + 1. Let a(z) = -z - 6. Let b be a(5). Let d be y(b). Solve 5*m - 2 = -4*c - 15, d = 3*m - 2*c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74704 + 5.\nAnswer: -74699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 4, f: 2, o: 1}. What is prob of picking 1 e and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) + (sqrt(3168)*-3 - sqrt(3168)) + sqrt(3168))\/(sqrt(66)\/sqrt(150)))**2.\nAnswer: 61250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1953160 is divided by 929.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-198)\/660)\/(12\/25).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 + 46. Let q = l + -31. Suppose -q + 11 = -4*h. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 = -2*j - 5*n, 2*n = j + 4*j - 626. Let z = j - 1. Suppose -237 - z = -5*i. Is i a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -4.328.\nAnswer: -3.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 3\/7, -0.1783?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*b**3 + 1469*b**3 + 21 - 2122*b**3.\nAnswer: -b**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 4*w**2 + 6*w - 6. Let l be v(5). Let c = l + -36. Let r be 3 + 1\/((-2)\/2). Solve 5*j - r = c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/5)*b)\/b**(-2\/11))**34)**(-2\/23) assuming b is positive.\nAnswer: b**(-5168\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 3*w + 5*h, -4*h - 176 = -8*w + 5*w. What is the remainder when (-5)\/(w\/(-268))*3 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (34 + (-8 - -20 - 8) - 2)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/15, -5, -27, 36, 32?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/22465 and -19\/22465.\nAnswer: 22465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(3*w**4 - 2*w**4 - 3*w**4) + 5*w**4 + 0*w**4 + w**4.\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10) - 8\/(-20). Suppose u + u = n. Suppose u + 0 + 2*m**3 - 2*m**2 = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 12:35 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 3900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3177153407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h + 78 = 0. Let z = h - -77. Put z, 0, 3 in ascending order.\nAnswer: z, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.15 - -1.061. Let f = 0 - 1. Let m = n + f. What is m rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + 0 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 6.7. Let d = z + 1.7. Which is the closest to d? (a) 2 (b) -3\/7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-45))\/((-4)\/10)*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - -6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/22 + (-980)\/55. Let b be 93\/z - 4\/(-24). Let w(v) = 5*v + 1. Suppose -2 - 4 = r. Let g(s) = -4*s - 1. Calculate b*w(a) + r*g(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 748 and 5295422.\nAnswer: 180044348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 114*z + 46 - 114*z - 3*z**2)*(-64*z - 11*z**3 + 64*z).\nAnswer: 11*z**5 - 506*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 less than -214925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h**3 + 4*h**2 + 11. Let n(q) = -21*q**3 - 11*q**2 - 33. Calculate 11*j(c) + 4*n(c).\nAnswer: 4*c**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 8132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*k = 98*k + 1332 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 124*w**2 + 243*w + 1108. Calculate t(126).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.4 (b) 1 (c) 0.4 (d) -88 (e) -0.3947\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*s = c - 15, 0 = 3*c - s + 31. Let u(t) be the third derivative of t**6\/120 + t**5\/5 + 5*t**4\/12 + t**3\/3 - 6*t**2. Is 2 a factor of u(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 164 = 24. Calculate the remainder when 109 is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 1 + (-2 + 1 + 2)*(-4 + 3 + 0))*(2*y + 4*y + 0*y).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -3, -2\/9, -69?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45584 by -461.\nAnswer: 45584\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -122 + 76. Let j be (-17)\/(-5) + x\/115. Suppose 0 - 3\/4*f + 3\/4*f**j + 3\/4*f**2 - 3\/4*f**4 = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 33*o**2 - o + 70. What is the remainder when i(-33) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + (-33)\/(-6))*2. Let p = a + -1. Solve -4 = k - d, 6*k - k = -p*d - 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2, -21.53, -5, 79, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 8*g**2 + 16*g - 10. Determine k(-7).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86 * -16.\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k + 3*k - 2*k**2)*(34 + 70 + 54) to s + h*k**2 + l*k and give h.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188096 by -1951.\nAnswer: -188096\/1951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j - 8. Let i be w(-6). Solve -3*c = 5*b - 0*b - i, 5*b + c = 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + 297\/22)*2 + 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11753 divide 1975289081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-5)*325\/(-1135). Let p = k - 21139\/4086. Find the common denominator of p and -57\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 4*g + 20. Calculate the remainder when l(-7) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12300313431434 - -2?\nAnswer: -12300313431432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/1461 and -43\/2?\nAnswer: 2922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/28304 and 33\/52693.\nAnswer: 51428368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4922.181 centimeters in nanometers?\nAnswer: 49221810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11311 - 10357. Calculate the highest common divisor of 36 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100110000111 (base 2) to base 14.\nAnswer: 3c35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 11:54 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11192, 0.05, -2\/11, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 - 5*d**5 + 3*d**5 + (-5*d + 5*d - d**3)*(-2*d**2 + 3*d**2 - 2*d**2) - 8*d**4 - 6*d**5 + 8*d**4.\nAnswer: -6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25787, 25834, 25881, 25928?\nAnswer: 25975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -471 < -472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -23*x**2 - 12*x + 2. Let z(g) = 1040*g**2 + 546*g - 91. What is -182*h(c) - 4*z(c)?\nAnswer: 26*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6610 - 1405?\nAnswer: -10215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12048 + -9500. Calculate the greatest common factor of 294 and s.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -112. What is i rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28452302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**8*z\/z**(-1\/9) assuming z is positive.\nAnswer: z**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1461828670?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -598*a + 4585. Is 8 a factor of l(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*h - 15*h - 56 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 6:50 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1100484529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 4*d + 0*d)*(-1 + 1 + d**4) + (0*d**2 + 0*d**2 - d**2)*(-3*d**2 - 2*d**2 + d**2)*(-d + 3*d - 3*d).\nAnswer: -5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1484\/(-308) + (-4)\/22 + 5441. Suppose -11*q + h = 783. What are the prime factors of q?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 8. Suppose 0*s + 4 = r*s. Suppose s*x + 57024 = -22976. Round x to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -669\/5 or -134?\nAnswer: -669\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -c0dc (base 16) in base 3?\nAnswer: -2111201121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of ((-78)\/(-8))\/(6 + 9999\/(-1672))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24745 is divided by 136?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -2. Let o = -10 + r. Let u = o + 1. What is the second smallest value in -0.4, u, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -516 + 517. Let m = -2.2 + 2. What is the third biggest value in m, -7, f?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**4\/4 - 12*x**2. Let s(d) = -d**2. Determine m(s(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*a**2 - 84*a**2 - 85*a**2 - 68*a**3 + 244*a**2.\nAnswer: -68*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 155*i**2 - 462*i**2 + 159*i**2 + 151*i**2.\nAnswer: 3*i**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 63 or 125\/2?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127.39 - 0.39. Let j = t - 131. Let q = -0.8 + -0.2. Which is the closest to q? (a) j (b) 3\/5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001172 rounded to five dps?\nAnswer: -0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -72, -14, 15 in descending order.\nAnswer: 15, -3, -14, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 246 - 51. What is the remainder when t is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66700 * -0.02\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -s + 6, -4*s - 3*d + 24 = -0*s. Suppose 0 = -2*y + s + 2. Sort y, -2\/7, 0.2 in decreasing order.\nAnswer: y, 0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*t**2 + 1 + (2*t**2 - 3*t**2 + 2*t**2)*(2 - 1 + 1) - 12*t**2 + 3*t**2 + 0*t**2 - 28 - 22 - 2*t**2 + 43 as y*t**2 + a + f*t and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*h = f + 38, 4*f - h - 86 = 0. Let c(y) = y**2 - 6*y + 5. Calculate the remainder when f is divided by c(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 3*x**2 - 11*x - 7. What is d(-7)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 0, -3, -2, 75 in increasing order.\nAnswer: -30, -3, -2, 0, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12296 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-7))\/((-2)\/7). Let l be 2\/r + 9 + -7. Differentiate -2*n**2 - 5 + 1 + 2*n**2 + 5*n**l with respect to n.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/19, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**3\/b*b**7 assuming b is positive.\nAnswer: b**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 5. Let c be v(-5). Solve -7*d + 2*d - c = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (11 - -5 - 21) - 70?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 4*o - 20, -6 = -w + 5*o + 19 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 - 21*t**2 + 9*t + 20. Let f = 7 + 11. Calculate the remainder when f is divided by x(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 5\/3, -1, 2\/95?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12260 or 99649?\nAnswer: 12260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 4. Let p = 38 + -18. Let n = p + -20.1. What is the third smallest value in j, n, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + sqrt(847) + 0)**2.\nAnswer: 88*sqrt(7) + 863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 90 = l + 102, 10*l - 115 = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6707 + 3982 - 5917 = -149*v. What is the greatest common divisor of 1247 and v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/25 - 1168*q**3\/25 - 81646708*q**2\/25 + 23890632912*q\/25 + 836757513334962\/25 = 0. Calculate q.\nAnswer: -4379, 4671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -25*b**5 - 1070*b**4 + 231*b**3 + 692*b**2 + 172*b = 0?\nAnswer: -43, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -54 and 2035.\nAnswer: 1981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.4 - 13. What is f rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26080 is divided by 8663.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-25)\/(-3))\/5)\/((-4)\/(-12))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(931) + 0)**2 + 4 + (-5*((1 + sqrt(76) - sqrt(76)) + 3))**2)*-4.\nAnswer: -5336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 710557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14655 + -322411\/22. What is the common denominator of g and 101\/7766?\nAnswer: 7766","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.67 - 9. Let m = z - 1.07. What is the second smallest value in 1\/4, m, 0.04, 0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (-3)\/((-9)\/(-12)). Let x(y) = 4*y**2 - 5*y + 2 + 0*y + o*y - y**3 + 2*y. Let s be x(2). Which is the closest to -2\/7? (a) s (b) 6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 3:02 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4767409?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53*m*w - 3*m - 25 wrt w.\nAnswer: 53*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h. Let d(l) = -6*l. Determine q(d(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 4. Let d be 45\/(-6)*(-8)\/(-10). Let f be (d\/4)\/(x\/10). What is the third smallest value in -4\/5, -0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - p + 2 = -5*m, -5*p = -4*m - 10. Let j(s) = s**2 + s - 128. Let v be j(m). Let u = -58 - v. Calculate the greatest common factor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 56. Which is bigger: i or 0.153?\nAnswer: 0.153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 144\/96 - (-1 - (-363)\/154). Let 4 - 29\/7*f**2 + q*f**4 - 3\/7*f + 3\/7*f**3 = 0. What is f?\nAnswer: -7, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 16*k + 6 - 3 - 7.\nAnswer: -16*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-10 + -1 + 5 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343)*6 + 3 + sqrt(112) + 3.\nAnswer: 6 + 46*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250718 is divided by 2884?\nAnswer: 2694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1576*n**2 + 4616*n**2 - 1618*n**2 - 1530*n**2.\nAnswer: -108*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 + -65.7. Let s = -33 - -101\/3. Which is the second smallest value? (a) 1 (b) s (c) 4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 = -23*o + 104 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by 51\nAnswer: 37\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**2 - r**2 + 0*r**2. Let b(s) = -3*s. Determine g(b(z)).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2, -4*l = 5*v - 49 - 14. Suppose 13 = y - 2*w, -5*w - v = 9. Suppose 4*x + 0*x = -5*f + 603, -y*x + 248 = 2*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/8 (b) 2 (c) 5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 81162, 0.2, -26 in ascending order.\nAnswer: -26, 0.2, 81162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (7 - 11) + -2 + 3 + 6 + 97?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 + -433\/5. Let n = 2.2 + 7.8. Let y = n - 11. Is y > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 - 4*b**4 + b**4)*(-8 - 14*b + 8) + 2*b**2 + b**5 - 2*b**2.\nAnswer: 71*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -178113, -178114, -178115, -178116, -178117?\n\"Answer: -r - 178112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 11. Let c be (i - 33)\/((-2)\/(-196)). Let s = -30 - c. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10638*f + 10454 with respect to f.\nAnswer: 10638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, o: 7}. Give prob of sequence ooo.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*(5\/3 + -1). Let k(b) = 2*b + 3. What is the units digit of k(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*x + 16 + 14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n - 542 + 696. Calculate the greatest common divisor of n and 5566.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94051177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12110 (base 3) to base 9\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 8. Let r = -4 + n. Let u(c) = -5*c + 1. Let l be u(r). Solve 0 = j + 1 - l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by 1279054.\nAnswer: -33\/639527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-3*((-133)\/(-84))\/(-19)*-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + -1 + sqrt(11))*-6.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276795 divided by 55359.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 305 - 88 = 0. Let y = g - -187. What are the prime factors of y?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17783 is divided by 493.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*r*y**6 + r*y**4 - 13*r*y**3 + 660*r*y**2 - y**2 wrt y.\nAnswer: 1080*r*y**3 + 24*r*y - 78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*v - 585, -4*v - 8*t + 7*t = 783. Is v equal to -197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 2 + 0)*(g + 0 + 0) + 18 - 18 + 11*g)*(-1 + 1 - 1) as m*g + i and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3037 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1180)\/177*((-7)\/5 - 1). Let y(b) = b**3 - 4*b + 1. Let s be y(3). Calculate the highest common divisor of j and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0109927 rounded to 4 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 2*s**2 + s - s**2 + 8 + 1. What is the units digit of h(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 1805153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i. Let u = 144 - 131. Let t(n) = 11*n - 12*n - u*n. Calculate t(b(x)).\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -612\/919 + -2\/2757. What is the nearest to s in -3, -0.3, 2, 17\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/4 in -5\/4, -1\/28, -0.2, -0.16?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)\/b**(1\/27)*b**12*b**(-7\/2))**44 assuming b is positive.\nAnswer: b**(7678\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h**(-2\/3))\/(h**(-3)*h)**(-38) assuming h is positive.\nAnswer: h**(-227\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*p = -1239, 26*p + 627 = v + 30*p. Calculate the highest common factor of v and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 + -0.2. Let p = -1 - t. Let h = 0.8 + 0.2. Sort -3, h, p in increasing order.\nAnswer: -3, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115 - -601. Suppose 4*t + 2464 + a = 0. What is the tens digit of 6\/(-24) + t\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 5*v**2 - 4*v - 3. Calculate p(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z - 47*z = -30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1.339, 3.\nAnswer: -1.339, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.30177 from -302214.\nAnswer: -302212.69823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/37 less than -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-36)*-6)\/((-10)\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, h: 3, i: 2, a: 1, w: 4}. What is prob of picking 1 k, 1 i, and 1 h?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.3068334g?\nAnswer: 306.8334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 1 - (28 - 22).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 140 (c) 0 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*u - 38 = 0, 2*u - 64 = 2*n + n. Let z be n\/(-45) - (1 + 14\/10). Let d(g) = g**3 + 4*g**2 + 4*g + 2. What is d(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4812*d**2*w**5 + 188*d**2 + 37*d*w wrt w.\nAnswer: 96240*d**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*w**4 - 54*w**3*x**2 + 5*w**3*x - 3*w*x**2 + 137*x**2 - 26*x wrt w?\nAnswer: 876*w**2 - 324*w*x**2 + 30*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = 3*y + a, 4*y + 3*a - 211 = 162. Let v = 4 + y. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.13. Let c = o - -0.07. Let f = 5 + -1. What is the closest to c in -1, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -367 + 364. Sort j, -61, -0.06 in decreasing order.\nAnswer: -0.06, j, -61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -10*n + 4. Let s be v(-7). Suppose -f - 4*m + s = 0, 3*m = -2*f - 0*m + 143. Calculate the greatest common factor of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -26. Let u(b) = -5*b - 13. Let j(w) = -w - 3. Let c(f) = h*u(f) - 9*j(f). Let l(g) = -7*g + 2. What is 4*c(i) - l(i)?\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18\/7 - -79\/28. Let k = -86 + 86. What is the closest to c in 4, k, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24264 - 24217. Solve h*b - 171 = 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 558.8 and -3647?\nAnswer: -2037943.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -11*u. Let i(d) be the second derivative of d**3\/2 - 9*d**2\/2 - 212*d - 1. Calculate i(b(t)).\nAnswer: -33*t - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 38. Let v = -3 + 2. Let y = -2 - v. Which is the closest to 2\/5? (a) j (b) y (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*a + 7. Suppose -a*f + r = -13, 3*r = -3*f - r + 5. Let g be ((-4)\/f)\/(2\/(-6)). Calculate the greatest common divisor of 28 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 0 - 3\/2*k**2 - 5\/2*k**3 + 19*k. Differentiate y(g) with respect to g.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 + -54. Suppose 0 = -3*u + v - 175. Let q = -44 - u. What is the remainder when 46 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8635 - 8582. Put 11, y, -2 in descending order.\nAnswer: y, 11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/z**(-25)))*z**(-12))\/(z**4\/(z*z**(-25))) assuming z is positive.\nAnswer: z**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p**(-2\/29))*p**(-9\/5)*p assuming p is positive.\nAnswer: p**(-106\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 9. Suppose -v*l - 3*b = 543, 2*l + 2*b = b - 358. Find the common denominator of 4 and ((-4)\/((-84)\/l))\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 11) + -11 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 445836632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/2 - 422*n**2 - 112675*n\/2 + 114359 = 0. Calculate n.\nAnswer: -119, 2, 961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12698 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3.5 (b) -3 (c) 1\/3 (d) 1 (e) 2\/5 (f) -1 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -172070\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -15, -80, -193, -360, -587, -880, -1245?\nAnswer: -1688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.295461 rounded to two decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -187797\/20 + 9394. What is the common denominator of (2\/(-1158))\/(24\/1296*-8) and r?\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -304*m + 75 - 207*m + 616*m - 254*m as d + k*m and give k.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 6*n - 6. Let h be c(5). Let k = -127 - -1401\/11. Does h = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3794247312?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 3*m - 2*m)*(0 - 2 + 0)*(11 - 28 + 16).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u + 4. Let h(w) = 8*w + 3. Let f(o) = 10*o + 3. Let d(s) = 3*f(s) - 4*h(s). Give 4*d(i) + 3*v(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5653 divided by 6532.\nAnswer: -5653\/6532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k - 13. Let o be a(-9). Suppose o*y = 17 + 13. Suppose y*x - 195 = x. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2. Suppose z + 5*f + t = 2*f, 12 = -z - 5*f. Let a = z - 13. Solve a = -3*m + 2*m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 203 - 134. Suppose 0 = -3*y + 2*y - 3*l + 19, 0 = -4*y - 5*l + t. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 900 and 446800050?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*i - 5*c + 844, 4*i = c + 1698. What is the common denominator of (-136)\/17 - i\/(-28) and -48\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(-1*sqrt(324)).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13547933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2077 or -338?\nAnswer: -338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 2*q**3\/3 + 2*q**2 + 4*q + 23. Let t be j(-7). Suppose -154 = -4*a + t. List the prime factors of a.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8040)\/663300 - (-16667)\/165.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 29*r = -27*r - 28, -40*r + 574 = 2*u + r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (-13 - (30 - 63 - -14))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4200 and 20731900.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 1:21 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(6\/11)*f)\/((f\/f**(4\/5))\/f*f))**(2\/11)*f**(1\/4)*f\/(f\/((f\/f**(2\/7))\/f)*f)*(f\/(((f*f**0)\/f*f*f)\/f))**(-5) assuming f is positive.\nAnswer: f**(-13401\/16940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t**2 - 6*t + 1. Let k(l) = l**2 + 1. Let n(z) = 6*k(z) + s(z). Let g be n(-7). Suppose -d = -5*d. Is g > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((4*(sqrt(88) + 2*sqrt(88)) + sqrt(88))\/((sqrt(64) - (sqrt(64) - sqrt(64)*2))\/sqrt(8)))**2 + (6*2*sqrt(121) + sqrt(121))\/(2*sqrt(891)))*5.\nAnswer: 65*sqrt(11)\/18 + 9355\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 - 9*f**2 - 6*f - 7. Let h(b) = b**3 + 9*b**2 - 4. Let a be h(-9). What is the smallest common multiple of 5 and m(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26016491 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 21 = -6*s + 3*y, -13*y = 25*s - 11*y - 4 - 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + q + 474. Suppose 2*r + q = 4*z, -3*r = 7*z - 2*z - 203. Suppose -2*j + 0*n = n - 27, -3*j = n - z. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 5 = -59 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -7 - 1 - (-4 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16321542 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1, 1\/7, -4894?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 48 = 2*u. Suppose -d + 4*d + 4*o + 14 = 0, -u*d + 18 = -2*o. Suppose 3*r + 4*c = 2*c + 302, 2*r - d*c = 188. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 278 + -276. Let f(j) = -j - 2. Let l be f(-5). Suppose -2*d - 1 = -l*d. Solve -a - z = -d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 32. Let u = 0.2 - 0.3. Put u, p, 2 in decreasing order.\nAnswer: 2, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9568 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 15 + 4 = -3*p, 3*b + 5*p - 31 = 0. Let n(a) = a**2 - 6*a - 7. Let l be n(7). Suppose 5*g - b + 7 = l. Is 0.9 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/11 + 30*q**3\/11 - 68*q**2\/11.\nAnswer: 2*q**2*(q - 2)*(q + 17)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 - (-3 + 3 + 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -4097?\nAnswer: -4101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 0*f + f + (-2 + 5 - 1)*(-2059*f - 1125 + 1125) - 4*f - 13 + 13 as v + u*f and give u.\nAnswer: -4123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -43, 0, 4, 23 in descending order.\nAnswer: 23, 4, 0, -2, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 22*r**2 + 46*r**2 - r as h*r**2 + p*r + k and give h.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -36610 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5434 (base 12) to base 9\nAnswer: -13624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(4 - 0) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*j. Let m = -1 + 3. Suppose -y - 5 = -m*y. Solve -y*z + j = 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6772522237 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*q = -2*q + 6, -7 = -5*u - 3*q. Factor -1 + c**3 - c**u + 1.\nAnswer: c**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28\/13 - 17\/26. Sort n, -2, -4, 0.09 in decreasing order.\nAnswer: n, 0.09, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -28. Let z = 2\/13 + 29\/65. What is the nearest to 1 in -0.3, z, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -10303?\nAnswer: 10254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t. Let c(y) = 3 + 11 - 3 - 2172*y + 2171*y - 2. Determine c(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**5\/60 + c**4\/24 - 2*c**3\/3 + 13*c**2. Let j be h(4). Solve 0*p = -4*p - j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 31 (c) 2997\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (1 - (3 - -42)). Let t = n + -43. Suppose -j = -5*u + 2*j + 96, -2*j = t*u - 90. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 - -0.44. Let v = -0.7600056 - l. Round v to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/5 - 93714*n\/5 + 93712\/5 = 0. Calculate n.\nAnswer: 1, 46856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 76 and 15.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 + 21*p**2 + 12*p + 24. Let z(i) = i**2 - i - 19. Let x be z(6). Does 7 divide u(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*h - 10. Suppose -a + 4*i + 343 = -379, h*a - 3568 = -i. Let w be (a\/(-3) - 2)*-625. Round w to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2296 and 61008?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*j - 317*j - 19700 = -93*j for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + z - 28. Give c(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10000001010001 (base 2) to base 14\nAnswer: -302d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -15, -0.5, 1\/6, -1\/11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -80\/1449?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4922976 - 31977976 = -35*a. What is a rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.3 (b) -2 (c) 56 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1225723 and -115.526874.\nAnswer: -1225838.526874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-154)\/(-63))\/(-11)*-1\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p - 7. Let y be 2\/p*1\/(-1). Which is the biggest value? (a) y (b) 1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10874 is divided by 127?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125.943 - -125.2. Let s = w - -0.056. Round s to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 2*o**2 - 5*o. Let d be p(4). Let x be (-2)\/4 - 30\/d. Let r = x + 6. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, l: 4, i: 4, p: 6}. Give prob of sequence wwi.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c*c\/(c*c**(2\/7))*c)*c)\/c*c*c*(c\/(c*c\/(c\/c**4)))\/c)**23*((c**(-1)\/c)\/c**(-2))\/(c**(-1\/2)\/c*c*c**(-4)*c) assuming c is positive.\nAnswer: c**(-825\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23986601 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 21. Suppose 0 = m*h - h - 945. Let l = -1051\/10 + h. Which is the third biggest value? (a) -2\/15 (b) l (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 36 = -2*v. Suppose -3*y + 27 = 3*i, y + 8*i + 11 = 3*i. Does 9 divide v\/5*35\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522734751.\nAnswer: 3, 7, 11, 17, 44371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 509771.3ml?\nAnswer: 509.7713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 4*x - x)*(0 + 0 - 2) + 188 + 456 + 2*x + 518.\nAnswer: -2*x + 1162","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u**2 - 5*u - 1. Let w(q) be the third derivative of -11*q**5\/60 - q**4\/3 - q**3\/3 + 14*q**2. Give -8*b(h) + 5*w(h).\nAnswer: h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8647781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhimhmmmiihiimiphh. What is prob of picking 2 i and 1 h?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - -32 - (-8 - (3 + -9)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 9*o**2 + 94*o + 659. Calculate b(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 45*q + 25. Let r be p(22). Let f be (-20)\/(-6) - 5\/15. Let l(a) = -a + 10. Let m be l(f). Is r equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24.67 - -25.9. Let v = n - 1.13. Let z = -0.04 - 0.36. What is the closest to 1 in v, z, -0.06?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}